Topic 4 Congruent Triangles PAP
|
|
|
- Pearl Chandler
- 5 years ago
- Views:
Transcription
1 opic 4 ongruent riangles PP Name: Period: eacher: 1 P a g e
2 2 nd Six Weeks MONY USY WNSY HUSY FIY Oct /3.5 Slopes, writing and graphing equations of a line HW: 3.4/3.5 Slopes, writing and graphing equations of a line etest #3 in teacher s room HW: eview eview est # riangle congruence 4.1/4.7 riangle sum properties and Isosceles 4.1/4.7 riangle sum properties and Isosceles 4.1/4.7 riangle sum properties and Isosceles riangle Proofs #1 Proofs HW: riangles HW: riangles HW: riangles HW: HW: riangle Proofs #3 Proofs riangle Proofs #4 Proofs eview eview est #5 HW: Have first 20 proofs completed HW: Have first 30 proofs done midsegment theorem and coordinate proofs 5.5 Use inequalities in a triangle 5.2/5.3/5.4 ltitude, median, angles bisector and perpendicular 5.2/5.3/5.4 ltitude, median, angles bisector and perpendicular 5.2/5.3/5.4 ltitude, median, angles bisector and perpendicular bisector bisector bisector etest #5 in Minitheater HW: Nov Hinge heorem Practice with Writing equations of altitudes, median, perpendicular bisectors HW: eview Scavenger Hunt eview Scavenger Hunt est #6 2 P a g e
3 Worksheet #1 fter est #4 PP hapter 4 lassify each triangle by sides lassify each triangle by angles lassify each triangle. (raw a picture to help) 9. with. 10. F with m JKL with JK KL LJ. 12. MNP with MN NP PM. 13. QS withm Q 145, m 15, and m S ngle Measures he measure of one interior angle of a triangle is 32. he other interior angles are congruent. Find their measures. 15. In, m 42. he measure of is five times the measure of. Find m and m. Write and solve an equation to find each of the following. 16. S 17. 3x 4 2x 6 5x U 40 V W 6x 4 3 P a g e
4 = UW = I 54 5x x (3x 6) G GH = 7x H X ( x 6) Z m Z = m = perimeter = 84 2x 3n 8 3x 4 9n = 2n 4 = m = In xercises 22 24, use the following information. lassroom he desk layout for a classroom is shown in the coordinate system measured in feet. Use istance formula (Pythagorean theorem) 22. Find the shortest distance in inches from to, to, and to, if you can walk between desks. 23. Find the shortest distance in inches from to, to, and to, if you can walk between desks. 24. Find the shortest distance in inches from to, to, and to, if you can not walk between the desks. 4 P a g e
5 Practice determining the type of triangle on a coordinate plane Graph the points, find the length of each side and classify the triangle by sides. etermine if the triangle is a right triangle using slope. (Hint: find the slope of each side and remember what make lines perpendicular. 1) ( 1,4), (5,1), ( 3,0) 2) (2, 3), ( 2, 6), ( 5, 2) 3) ( 4,1), U( 1, 2), G (2,5) 4) P( 4,1), U( 1, 4), K (3,5) 5 P a g e
6 Worksheet pplying ongruence in riangles I. omplete each correspondence statement. Period 1) S 2) 3) GHK F S M N II. Write a congruence statement for each pair of congruent triangles. G K H 4) 5) 6) N S F W I V O K M G III. Label the corresponding part if S. Use the figures to complete each statement. 7) 8) S 9) 10) S 11) S 12) IV. Find the value of x. 13) Given F, =15, =20, =25, and F=3x-7 14) Given F, =10, F=13, F=16, and =4x-8 15) 6 P a g e
7 16) 17) 17 17) 18) 19) 20) 21) 22) 7 P a g e
8 23) P N, 40, N 60, (210), find the value of x and m. 24) OG, O ( x y), 30, 100, (9y 19) find the value of x, y, and OG. 25) F, 2x 10, 12 2y, 6x 2, F 3y 2, 5y find the value of x, y, and. 26) OY GI, O 4x 6, OY 5x, GI x 9, I 3y find the value of x, y, and I. 8 P a g e
9 Worksheet #2 hapter 4 Find the value of x. Show all work to receive credit Period 1) x = 2) x = 3) x = 58 (3x-1) ) x = 5) x = 6) x = (2x+3) ) x = 8) x = 9) x = (x+40) (3x-17) (2x-5) 10) x = 11) x = 12) x = ) x = 14) x = 15) x = 122 (6x-7) (103-x) 2 9 P a g e
10 16) x = 17) x = Find the measure of each angle. 18) 1 19) 2 20) ) 4 22) 5 23) Find the measure of the numbered angle. 24) m 1 25) m 2 26) m 3 27) m 4 28) m 5 29) m 6 Find the value of x and y. 30) 31) 32) 10 P a g e
11 Isosceles riangle Properties I. Find the missing value. 1) x = 2) x = 3) x = 3x-6 (4x-20) 3 x ) x = 5) x = 6) x = 5 2 4x x-30 (3x+10) (5x-10) 7) x = 8) x = 9) x = ) x = 11) x = 12) x = (4x+10) 54 (4x+20) ) x = 14) x = 15) x = 9x-5 4x (17x-28) 3 16) x = 17) x = 18) x = 4x x P a g e
12 19) x = 20) x = 21) x = 4 (6x-20) ) x = 23) x = y = 24) P = y Q 6x-12 3x+12 P 9x+2 25) x = y = 26) w = x = y = z = y w z y 27) x = y = 28) x = y = 29) x = y = z = z = z = Find the perimeter of the triangle. 30) 31) 32) 12 P a g e
13 riangle Proofs hapter 4 omplete a flow proof for each. 1) Given:, F, and are right angles. Prove: F F 2) Given:, is the midpoint of. Prove: 3) Given: is the midpoint of, bisects,. Prove: 4) Given: G F, is the midpoint of GF, G GF, F GF. Prove: G F G F 5) Given:,. is the midpoint of, Prove: 13 P a g e
14 6) Given:, Prove: 7) Given: bisects, bisects. Prove: 8) Given:,. Prove: 9) Given: bisects F, F bisects, F. Prove: F F 10) Given: S bisects S,. Prove: S S S 14 P a g e
15 11) Given: bisects Prove:, bisects. 12) Given: WJ KZ, W and K are right angles Prove: JWZ ZKJ W J Z K 13) Given: JL LM, LJ JK, MJ KL Prove: JLM LJK M L J K 14) Given:, bisects. Prove: 15) Given:, and is the midpoint of. Prove: are right angles, 15 P a g e
16 M 16) Given: LO bisects MLN, OM LM ON LN Prove: LMO LNO L O N 17) Given: 1 2, 3 4, is the midpoint of. Prove: ) Given:,. Prove: Q 19) Given: PQ QS, S SQ, is the midpoint of QS Prove: PQ S P S G 20) Given: HV G, GH V, G bisects HV Prove: IGH IV H I V 16 P a g e
17 21) Given:,. Prove: 22) Given:,. Prove: 23) Given: 1 2, 3 4. Prove: ) Given:,. Prove: bisects 25) Given: Q bisects Prove: Q bisects S S,Q S. Q S 17 P a g e
18 26) Given: L J, KJ LM Prove: LKM JMK K J L M K 27) Given: JK PQ, KJ QP Prove: KQ bisects JP M P J Q 28) Given:, Prove: 28) Given: bisects, is the midpoint of Prove: 18 P a g e
19 29) Given:, Prove: 30) Given: 1 2, 3 4 Prove: Q QU Q U 31) Given: Q U, Q U Prove: Q U Q U 32) Given:, Prove: F 19 P a g e
20 hapter 4 eview PP Name Identify each triangle by its angles Identify each triangle by its sides Identify the following triangles by angles and sides: Solve for x. 13. x = 14. x = 5x 4x x 4x + 7 3x x x = 16. x = 3x x x = 2x 3x x = 20 P a g e 2x 42 4x - 16
21 Write a congruence statement for 19-22: H Q S L N F I 21. M 22. Q H P N raw a set of triangles, label them, and answer the questions for ) MY JF, if M 5, F 7, and Y 3, then find J, JF, and the perimeter of JF. 24) O, if m 30 and m 80, then find m,m, m O,and m. 25) P WOK, If 21, P 35, and WO 7x 7, find the value of x and WO. F etermine if the triangles are congruent, if congruent give postulate or theorem for why the triangles are congruent. If not congruent write no. J G I 40) F 41) JHG JHI J 42) NKL LMN F N M G H I K L 43) OPS QP 44) WV UV 45) XZ ZYX O Q U X P Y S W V Z 46) GF 47) HJI LMK 48) PON SQ G J K N S H L F I M O P Q 49) 21 P a g e
22 50) Given: F U Prove: is the midpoint of UG FU G F G 51) Given: P IQ P P bisects IPQ Prove: IP QP I Q U 52) Given: V UV W is the midpoint of V Prove: W V 53) 54) 22 P a g e
SEMESTER REVIEW 1: Chapters 1 and 2
Geometry Fall emester Review (13-14) EEER REVIEW 1: hapters 1 and 2 1. What is Geometry? 2. What are the three undefined terms of geometry? 3. Find the definition of each of the following. a. Postulate
Chapter 6. Worked-Out Solutions. Chapter 6 Maintaining Mathematical Proficiency (p. 299)
hapter 6 hapter 6 Maintaining Mathematical Proficiency (p. 99) 1. Slope perpendicular to y = 1 x 5 is. y = x + b 1 = + b 1 = 9 + b 10 = b n equation of the line is y = x + 10.. Slope perpendicular to y
ALLEN PARK HIGH SCHOOL F i r s t S e m e s t e r R e v i e w
ALLEN PARK HIGH SCHOOL i r s t S e m e s t e r R e v i e w G EOMERY APHS/MAH Winter 2010 DIRECIONS his section of test is 68 items, which you will work in this booklet. Mark the correct answer as directed
You must show your work to receive full credit! Write your final answer on the blank provided.
1 st Semester Final xam Review Name: Geometry ate: lock: You must show your work to receive full credit! Write your final answer on the blank provided. Topic #1 (Foundations of Geometry) 1) Multiple hoice:
Geometry M1: Unit 3 Practice Exam
Class: Date: Geometry M1: Unit 3 Practice Exam Short Answer 1. What is the value of x? 2. What is the value of x? 3. What is the value of x? 1 4. Find the value of x. The diagram is not to scale. Given:
Examples: Identify three pairs of parallel segments in the diagram. 1. AB 2. BC 3. AC. Write an equation to model this theorem based on the figure.
5.1: Midsegments of Triangles NOTE: Midsegments are also to the third side in the triangle. Example: Identify the 3 midsegments in the diagram. Examples: Identify three pairs of parallel segments in the
Geometry Semester 1 Exam Released
1. Use the diagram. 3. In the diagram, mlmn 54. L 5 1 4 3 2 Which best describes the pair of angles 1 and 4? (A) complementary (B) linear pair (C) supplementary (D) vertical 2. Use the diagram. E F A B
NAME DATE PERIOD. 4. If m ABC x and m BAC m BCA 2x 10, is B F an altitude? Explain. 7. Find x if EH 16 and FH 6x 5. G
5- NM IO ractice isectors, Medians, and ltitudes LG In, is the angle bisector of,,, and are medians, and is the centroid.. ind x if 4x and 0.. ind y if y and 8.. ind z if 5z 0 and 4. 4. If m x and m m
Chapter 6. Worked-Out Solutions AB 3.61 AC 5.10 BC = 5
27. onstruct a line ( DF ) with midpoint P parallel to and twice the length of QR. onstruct a line ( EF ) with midpoint R parallel to and twice the length of QP. onstruct a line ( DE ) with midpoint Q
2013 ACTM Regional Geometry Exam
2013 TM Regional Geometry Exam In each of the following choose the EST answer and record your choice on the answer sheet provided. To insure correct scoring, be sure to make all erasures completely. The
5-1 Practice Form K. Midsegments of Triangles. Identify three pairs of parallel segments in the diagram.
5-1 Practice Form K Midsegments of Triangles Identify three pairs of parallel segments in the diagram. 1. 2. 3. Name the segment that is parallel to the given segment. 4. MN 5. ON 6. AB 7. CB 8. OM 9.
+2 u, 2s ) [D] ( r+ t + u, 2s )
![+2 u, 2s ) [D] ( r+ t + u, 2s )](/thumbs/74/70220114.jpg "+2 u, 2s ) [D] ( r+ t + u, 2s )")
1. Isosceles trapezoid JKLM has legs JK and LM, and base KL. If JK = 3x + 6, KL = 9x 3, and LM = 7x 9. Find the value of x. [A] 15 4 [] 3 4 [] 3 [] 3 4. Which best describes the relationship between the
Geometry: A Complete Course
Geometry: omplete ourse (with Trigonometry) Module - Student WorkText Written by: Thomas. lark Larry. ollins RRT 4/2010 6. In the figure below, and share the common segment. Prove the following conditional
Geometry 1 st Semester review Name
Geometry 1 st Semester review Name 1. What are the next three numbers in this sequence? 0, 3, 9, 18, For xercises 2 4, refer to the figure to the right. j k 2. Name the point(s) collinear to points H and
Honors Geometry Mid-Term Exam Review
Class: Date: Honors Geometry Mid-Term Exam Review Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. 1. Classify the triangle by its sides. The
Pythagoras Theorem and Its Applications
Lecture 10 Pythagoras Theorem and Its pplications Theorem I (Pythagoras Theorem) or a right-angled triangle with two legs a, b and hypotenuse c, the sum of squares of legs is equal to the square of its
Drawing Conclusions. 1. CM is the perpendicular bisector of AB because. 3. Sample answer: 5.1 Guided Practice (p. 267)
HPTER 5 Think & Discuss (p. 6). nswers may vary. Sample answer: Position may be the best position because he would have less space for the ball to pass him. He would also be more toward the middle of the
); 5 units 5. x = 3 6. r = 5 7. n = 2 8. t =
. Sample answer: dilation with center at the origin and a scale factor of 1 followed b a translation units right and 1 unit down 5. Sample answer: reflection in the -axis followed b a dilation with center
Semester 1 Cumulative Summative Review Teacher: Date: B
GOMTRY Name: 2016-2017 Semester 1 umulative Summative Review Teacher: ate: To be prepared for your midterm, you will need to PRTI PROLMS and STUY TRMS from the following chapters. Use this guide to help
Int. Geometry Units 1-6 Review 1
Int. Geometry Units 1-6 Review 1 Things to note about this review and the Unit 1-6 Test: 1. This review packet covers major ideas of the first six units, but it does not show examples of all types of problems..
EC and AB because AIA are congruent Substituting into the first equation above
4.1 Triangles Sum onjectures uxillary line: an extra line or segment that helps you with your proof. Page 202 Paragraph proof explaining why the Triangle Sum onjecture is true. onjecture: The sum of the
Unit 4-Review. Part 1- Triangle Theorems and Rules
Unit 4-Review - Triangle Theorems and Rules Name of Theorem or relationship In words/ Symbols Diagrams/ Hints/ Techniques 1. Side angle relationship 2. Triangle inequality Theorem 3. Pythagorean Theorem
Instructional Goal Terminal Objective Assessment Item Students will generate twocolumn
eport Two Objectives Instructional Goal Terminal Objective ssessment Item Students will generate twocolumn geometric proofs. PS Given a statement to be proven, a diagram, and a given statement student
Review for Geometry Midterm 2015: Chapters 1-5
Name Period Review for Geometry Midterm 2015: Chapters 1-5 Short Answer 1. What is the length of AC? 2. Tell whether a triangle can have sides with lengths 1, 2, and 3. 3. Danny and Dana start hiking from
Using Definitions and Theorems in Proofs
Using efinitions and Theorems in Proofs midpoint divides a segment into 2 segments midpoint divides a segment in half bisector intersects a segments at its midpoint n angle bisector divides an angle into
Intermediate Math Circles Wednesday October Problem Set 1
Intermediate Math ircles Wednesda October 10 2018 Problem Set 1 1. In the diagram, is parallel to. etermine the values of and. b 3 50 F a G 13 Let a = GF, b = F G. Since, we know that alternate interior
H. Math 2 Benchmark 1 Review
H. Math 2 enchmark 1 Review Name: ate: 1. Parallelogram C was translated to parallelogram C. 2. Which of the following is a model of a scalene triangle?.. How many units and in which direction were the
Name: Jan 2016 Semester1 Review Block: Date:
GOMTRY Name: Jan 2016 Semester1 Review lock: ate: To be prepared for your midterm, you will need to PRTI PROLMS and STUY TRMS from the following chapters. Use this guide to help you practice. Unit 1 (1.1
B C. You try: What is the definition of an angle bisector?
US Geometry 1 What is the definition of a midpoint? The midpoint of a line segment is the point that divides the segment into two congruent segments. That is, M is the midpoint of if M is on and M M. 1
Common Core Readiness Assessment 4
ommon ore Readiness ssessment 4 1. Use the diagram and the information given to complete the missing element of the two-column proof. 2. Use the diagram and the information given to complete the missing
Which statement is true about parallelogram FGHJ and parallelogram F ''G''H''J ''?
Unit 2 Review 1. Parallelogram FGHJ was translated 3 units down to form parallelogram F 'G'H'J '. Parallelogram F 'G'H'J ' was then rotated 90 counterclockwise about point G' to obtain parallelogram F
Chapter 5: Properties and Attributes of Triangles Review Packet
Geometry B Name: Date: Block: Chapter 5: Properties and Attributes of Triangles Review Packet All work must be shown to receive full credit. Define the following terms: 1. altitude of a triangle 2. centroid
Chapter 4 Review Formal Geometry Name: Period: Due on the day of your test:
Multiple Choice Identif the choice that best completes the statement or answers the question. 1. In the figure, what is the m 3?. 97 B. 62 97 2 C. 48. 35 35 1 3 2. In the figure, PR SU and QT QU. What
Study Guide and Assessment
tudy uide and ssessment nderstanding and sing the ocabulary fter completing this chapter, you should be able to define each term, property, or phrase and give an example or two of each. altitude (p. 4)
Skills Practice Skills Practice for Lesson 11.1
Skills Practice Skills Practice for Lesson.1 Name ate Riding a Ferris Wheel Introduction to ircles Vocabulary Identify an instance of each term in the diagram. 1. circle X T 2. center of the circle H I
Properties of Isosceles and Equilateral Triangles
Properties of Isosceles and Equilateral Triangles In an isosceles triangle, the sides and the angles of the triangle are classified by their position in relation to the triangle s congruent sides. Leg
Unit 2 Review. Determine the scale factor of the dilation below.
Unit 2 Review 1. oes the graph below represent a dilation? Why or why not? y 10 9 8 7 (0, 7) 6 5 4 3 (0, 3.5) 2 1 (5, 7) (5, 3.5) -10-9 -8-7 -6-5 -4-3 -2-1 0 1 2 3 4 5 6 7 8 9 10-1 F -2 (5, 0) -3-4 -5-6
Incoming Magnet Precalculus / Functions Summer Review Assignment
Incoming Magnet recalculus / Functions Summer Review ssignment Students, This assignment should serve as a review of the lgebra and Geometry skills necessary for success in recalculus. These skills were
Geometry Unit 5 Review Show all work and follow the criteria for credit.
ompetency 1: Identify ongruence For questions 1 5, decide which congruence postulate, if any, you can use to prove that the given triangles are congruent. rite the congruence statement and identify the
Geometry Note Cards EXAMPLE:
Geometry Note Cards EXAMPLE: Lined Side Word and Explanation Blank Side Picture with Statements Sections 12-4 through 12-5 1) Theorem 12-3 (p. 790) 2) Theorem 12-14 (p. 790) 3) Theorem 12-15 (p. 793) 4)
Vocabulary. Term Page Definition Clarifying Example altitude of a triangle. centroid of a triangle. circumcenter of a triangle. circumscribed circle
CHAPTER Vocabulary The table contains important vocabulary terms from Chapter. As you work through the chapter, fill in the page number, definition, and a clarifying eample. Term Page Definition Clarifying
Page 1 Central Angles & Arc Measures
Geometry/Trig Unit 8 ll bout ircles! Name: ate: Page 1 entral ngles & rc Measures Example 1: JK is a diameter of ircle. Name two examples for each: K Minor rc:, Major rc:, M Semicircle:, Name Pair of djacent
Geometry - Review for Final Chapters 5 and 6
Class: Date: Geometry - Review for Final Chapters 5 and 6 1. Classify PQR by its sides. Then determine whether it is a right triangle. a. scalene ; right c. scalene ; not right b. isoceles ; not right
REVIEW PACKET January 2012
NME: REVIEW PKET January 2012 My PERIOD DTE of my EXM TIME of my EXM **THERE RE 10 PROBLEMS IN THIS REVIEW PKET THT RE IDENTIL TO 10 OF THE PROBLEMS ON THE MIDTERM EXM!!!** Your exam is on hapters 1 6
Riding a Ferris Wheel
Lesson.1 Skills Practice Name ate iding a Ferris Wheel Introduction to ircles Vocabulary Identify an instance of each term in the diagram. 1. center of the circle 6. central angle T H I 2. chord 7. inscribed
Geometry Honors: Midterm Exam Review January 2018
Name: Period: The midterm will cover Chapters 1-6. Geometry Honors: Midterm Exam Review January 2018 You WILL NOT receive a formula sheet, but you need to know the following formulas Make sure you memorize
So, PQ is about 3.32 units long Arcs and Chords. ALGEBRA Find the value of x.
ALGEBRA Find the value of x. 1. Arc ST is a minor arc, so m(arc ST) is equal to the measure of its related central angle or 93. and are congruent chords, so the corresponding arcs RS and ST are congruent.
Cumulative Test. 101 Holt Geometry. Name Date Class
Choose the best answer. 1. Which of PQ and QR contains P? A PQ only B QR only C Both D Neither. K is between J and L. JK 3x, and KL x 1. If JL 16, what is JK? F 7 H 9 G 8 J 13 3. SU bisects RST. If mrst
DEPARTMENT OF MATHEMATICS
Wynberg Boys High School DEPARTMENT OF MATHEMATICS Name: Teacher: Class: PAPER 2 GRADE 9 MATHEMATICS JUNE 2017 MARKS: 75 TIME: 1 1 2 hours EXAMINER: Mr Biggs This examination booklet consists of 12 pages.
NAME DATE PER. 1. ; 1 and ; 6 and ; 10 and 11
SECOND SIX WEEKS REVIEW PG. 1 NME DTE PER SECOND SIX WEEKS REVIEW Using the figure below, identify the special angle pair. Then write C for congruent, S for supplementary, or N for neither. d 1. ; 1 and
Chapter 6 Summary 6.1. Using the Hypotenuse-Leg (HL) Congruence Theorem. Example
Chapter Summary Key Terms corresponding parts of congruent triangles are congruent (CPCTC) (.2) vertex angle of an isosceles triangle (.3) inverse (.4) contrapositive (.4) direct proof (.4) indirect proof
NAME DATE PERIOD. Study Guide and Intervention
7-1 tudy Guide and Intervention atios and Proportions Write and Use atios ratio is a comparison of two quantities by divisions. The ratio a to b, where b is not zero, can be written as a b or a:b. ample
8-2 The Pythagorean Theorem and Its Converse. Find x. 27. SOLUTION: The triangle with the side lengths 9, 12, and x form a right triangle.
Find x. 27. The triangle with the side lengths 9, 12, and x form a right triangle. In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
Chapter 03 Test. 1 Complete the congruence statement. A B C D. 2 Complete the congruence statement. A B C D
hapter 03 Test Name: ate: 1 omplete the congruence statement. 2 omplete the congruence statement. 3 If, which of the following can you NOT conclude as being true? opyright 2005-2006 by Pearson Education
5-1 Perpendicular and Angle Bisectors
5-1 Perpendicular and Angle Bisectors Warm Up Lesson Presentation Lesson Quiz Geometry Warm Up Construct each of the following. 1. A perpendicular bisector. 2. An angle bisector. 3. Find the midpoint and
Name: Class: Date: c. WZ XY and XW YZ. b. WZ ZY and XW YZ. d. WN NZ and YN NX
Class: Date: 2nd Semester Exam Review - Geometry CP 1. Complete this statement: A polygon with all sides the same length is said to be. a. regular b. equilateral c. equiangular d. convex 3. Which statement
3 = 1, a c, a d, b c, and b d.
hapter 7 Maintaining Mathematical Proficienc (p. 357) 1. (7 x) = 16 (7 x) = 16 7 x = 7 7 x = 3 x 1 = 3 1 x = 3. 7(1 x) + = 19 7(1 x) = 1 7(1 x) = 1 7 7 1 x = 3 1 1 x = x 1 = 1 x = 3. 3(x 5) + 8(x 5) =
Distance. Warm Ups. Learning Objectives I can find the distance between two points. Football Problem: Bailey. Watson
Distance Warm Ups Learning Objectives I can find the distance between two points. Football Problem: Bailey Watson. Find the distance between the points (, ) and (4, 5). + 4 = c 9 + 6 = c 5 = c 5 = c. Using
Notes: Review of Algebra I skills
Notes: Review of Algebra I skills http://www.monroeps.org/honors_geometry.aspx http://www.parklandsd.org/wp-content/uploads/hrs_geometry.pdf Name: Date: Period: Algebra Review: Systems of Equations * If
Geometer: CPM Chapters 1-6 Period: DEAL. 7) Name the transformation(s) that are not isometric. Justify your answer.
Semester 1 Closure Geometer: CPM Chapters 1-6 Period: DEAL Take time to review the notes we have taken in class so far and previous closure packets. Look for concepts you feel very comfortable with and
10-3 Arcs and Chords. ALGEBRA Find the value of x.
ALGEBRA Find the value of x. 1. Arc ST is a minor arc, so m(arc ST) is equal to the measure of its related central angle or 93. and are congruent chords, so the corresponding arcs RS and ST are congruent.
Geometry GENERAL GEOMETRY
Geometry GENERAL GEOMETRY Essential Vocabulary: point, line, plane, segment, segment bisector, midpoint, congruence I can use the distance formula to determine the area and perimeters of triangles and
7. m JHI = ( ) and m GHI = ( ) and m JHG = 65. Find m JHI and m GHI.
1. Name three points in the diagram that are not collinear. 2. If RS = 44 and QS = 68, find QR. 3. R, S, and T are collinear. S is between R and T. RS = 2w + 1, ST = w 1, and RT = 18. Use the Segment Addition
Geometry Final exam Review First Semester
Name: lass: ate: Geometry Final exam Review First Semester Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Find the measure of O. Then, classify the angle
Using Properties of Special Segments in Triangles. Using Triangle Inequalities to Determine What Triangles are Possible
5 ig Idea 1 HTR SUMMRY IG IS Using roperties of Special Segments in Triangles For Your otebook Special segment Midsegment erpendicular bisector ngle bisector Median (connects verte to midpoint of opposite
Work with a partner. Use dynamic geometry software. Draw any scalene ABC. a. Find the side lengths and angle measures of the triangle.
OMMON ORE Learning Standard HSG-O..0 6.5 Indirect Proof and Inequalities in One riangle Essential Question How are the sides related to the angles of a triangle? How are any two sides of a triangle related
Geometry: A Complete Course
Geometry: omplete ourse (with Trigonometry) Module - Student WorkText Written by: Thomas E. lark Larry E. ollins Geometry: omplete ourse (with Trigonometry) Module Student Worktext opyright 2014 by VideotextInteractive
Name Geometry Common Core Regents Review Packet - 3. Topic 1 : Equation of a circle
Name Geometry Common Core Regents Review Packet - 3 Topic 1 : Equation of a circle Equation with center (0,0) and radius r Equation with center (h,k) and radius r ( ) ( ) 1. The endpoints of a diameter
Essential Question How can you prove a mathematical statement?
.5 TEXS ESSENTIL KNOWLEDGE ND SKILLS Preparing for G.6. G.6. G.6.D G.6.E RESONING To be proficient in math, you need to know and be able to use algebraic properties. Proving Statements about Segments and
Unit 1: Introduction to Proof
Unit 1: Introduction to Proof Prove geometric theorems both formally and informally using a variety of methods. G.CO.9 Prove and apply theorems about lines and angles. Theorems include but are not restricted
Given: You try: Given: Prove: ABC ADC. Prove: ABE DCE. 1. Given 1. AB AD BC DC. 2. AC AC 2. Reflexive Prop. of. 3. ABC ADC 3. SSS Post.
US Geometr enchmark Stud Guide 1 Given: 1 Given: Prove: Statements 1. 1. Given Reasons.. Refleive Prop. of 3. 3. SSS Post Prove: G.O.1 etermine whether the following statements are rue or alse. ) ) ) )
Geometry Midterm REVIEW
Name: Class: Date: ID: A Geometry Midterm REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Given LM = MP and L, M, and P are not collinear. Draw
0611ge. Geometry Regents Exam Line segment AB is shown in the diagram below.
0611ge 1 Line segment AB is shown in the diagram below. In the diagram below, A B C is a transformation of ABC, and A B C is a transformation of A B C. Which two sets of construction marks, labeled I,
1 = 1, b d and c d. Chapter 7. Worked-Out Solutions Chapter 7 Maintaining Mathematical Proficiency (p. 357) Slope of line b:
hapter 7 aintaining athematical Proficienc (p. 357) 1. (7 x) = 16 (7 x) = 16 7 x = 7 = 7 x = 3 x 1 = 3 1 x = 3. 7(1 x) + = 19 = 7(1 x) = 1 7(1 x) 7 = 1 7 1 x = 3 1 = 1 x = x 1 = 1 x = 3. 3(x 5) + 8(x 5)
Geometry Midterm Review Packet
Name: ate: lock: 2012 2013 Geometry Midterm Review Packet ue: 1/7/13 (for +5 on packet) 1/8/13 (for +3 on packet) 1/9/13 (for +2 on packet) 1/10/13 ( ay lasses) 1/11/13 ( ay lasses) The midterm will be
Geometry. Midterm Review
Geometry Midterm Review Class: Date: Geometry Midterm Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1 A plumber knows that if you shut off the water
4-1 Classifying Triangles (pp )
Vocabulary acute triangle.............. 216 auxiliary line............... 223 base....................... 273 base angle.................. 273 congruent polygons......... 231 coordinate proof............
Name: Class: Date: 5. If the diagonals of a rhombus have lengths 6 and 8, then the perimeter of the rhombus is 28. a. True b.
Indicate whether the statement is true or false. 1. If the diagonals of a quadrilateral are perpendicular, the quadrilateral must be a square. 2. If M and N are midpoints of sides and of, then. 3. The
Chapter 2 Segment Measurement and Coordinate Graphing
Geometry Concepts Chapter 2 Segment Measurement and Coordinate Graphing 2.2 Find length segments (1.3) 2.3 Compare lengths of segments (1.3) 2.3 Find midpoints of segments (1.7) 2.5 Calculate coordinates
Skills Practice Skills Practice for Lesson 9.1
Skills Practice Skills Practice for Lesson.1 Name Date Meeting Friends The Distance Formula Vocabular Define the term in our own words. 1. Distance Formula Problem Set Archaeologists map the location of
50. CID 120 CCj 40 ( B" 70. (t) 80 CD) 140. cd Cannot be determined 1V 90. ct) 60. CJ1) 30 Cf) 85. CB~ The value in column B is greater.
LSSON i ~ Standardized (, NM DT Test Practice For use with pages 194--201 f you find yourself spending too much time on one test question and getting frustrated, mo~e on to the next question. You can revisit
UNIT 1: SIMILARITY, CONGRUENCE, AND PROOFS. 1) Figure A'B'C'D'F' is a dilation of figure ABCDF by a scale factor of 1. 2 centered at ( 4, 1).
1) Figure A'B'C'D'F' is a dilation of figure ABCDF by a scale factor of 1. 2 centered at ( 4, 1). The dilation is Which statement is true? A. B. C. D. AB B' C' A' B' BC AB BC A' B' B' C' AB BC A' B' D'
Inequalities for Triangles and Pointwise Characterizations
Inequalities for Triangles and Pointwise haracterizations Theorem (The Scalene Inequality): If one side of a triangle has greater length than another side, then the angle opposite the longer side has the
) = (3.5, 3) 5-3. check it out!
44. Let be the irumenter of the. Given: = m; so by the properties of -6-9,. So = + = _ 5- = _ () = 4 m. medians and altitudes of Triangles hek it out! 1a. KZ + ZW = KW _ KW + ZW = KW ZW KW 7 KW 1 = KW
Challenge: Skills and Applications For use with pages P( 1, 4) R( 3, 1)
LESSON 8.4 NME TE hallenge: Skills and pplications For use with pages 480 487 1. Refer to the diagram, where VW YZ. a. Write a similarit statement. b. Write a paragraph proof for our result. V X Y W Z.
Chapter 10 Test. Comprehensive Test page 1
omprehensive est page 1 1. Which statement is true in Euclidean geometry? A he Point-Line-Plane Postulate is assumed true. B Every line contains an infinite number of points. hrough a point not on a line,
1) If AB is congruent to AC, then B is congruent to C.
233 1) If is congruent to, then is congruent to. Proof of 1). 1) ssume ". (We must prove that ".) 2) ", because the identity is a rigid motion that moves to. 3) Therefore, Δ " Δ by the xiom. (The correspondence
Ready To Go On? Skills Intervention 11-1 Lines That Intersect Circles
Name ate lass STION 11 Ready To Go On? Skills Intervention 11-1 Lines That Intersect ircles ind these vocabulary words in Lesson 11-1 and the Multilingual Glossary. Vocabulary interior of a circle exterior
0113ge. Geometry Regents Exam In the diagram below, under which transformation is A B C the image of ABC?
0113ge 1 If MNP VWX and PM is the shortest side of MNP, what is the shortest side of VWX? 1) XV ) WX 3) VW 4) NP 4 In the diagram below, under which transformation is A B C the image of ABC? In circle
Definitions/Postulates REVIEW!
Do NOW! This is on a worksheet I gave you last week called Practice with Proofs. #1 1) A, B, & C are collinear. B is btwn A & C. AC=32, AB = 2x & BC= 4x+2 2) 1) Given 2) Always start with the givens..
Geometry Chapter 3 & 4 Test
Class: Date: Geometry Chapter 3 & 4 Test Use the diagram to find the following. 1. What are three pairs of corresponding angles? A. angles 1 & 2, 3 & 8, and 4 & 7 C. angles 1 & 7, 8 & 6, and 2 & 4 B. angles
6.2: Isosceles Triangles
6.2: Isosceles Triangles Dec 5 4:34 PM 1 Define an Isosceles Triangle. A triangle that has (at least) two sides of equal length. Dec 5 4:34 PM 2 Draw an Isosceles Triangle. Label all parts and mark the
SHELBY COUNTY SCHOOLS: GEOMETRY PRETEST AUGUST 2015 SEMESTER 1. Created to be taken with the ACT Quality Core Reference Sheet: Geometry.
SHELBY COUNTY SCHOOLS: GEOMETRY PRETEST AUGUST 2015 SEMESTER 1 Created to be taken with the ACT Quality Core Reference Sheet: Geometry. 1. The intersection of plane L and plane M is AB. Point P is in neither
13.3 Special Right Triangles
Name lass ate. Special Right Triangles Essential Question: What do you know about the side lengths and the trigonometric ratios in special right triangles? Eplore Investigating an Isosceles Right Triangle
Answers. Chapter10 A Start Thinking. and 4 2. Sample answer: no; It does not pass through the center.
hapter10 10.1 Start Thinking 6. no; is not a right triangle because the side lengths do not satisf the Pthagorean Theorem (Thm. 9.1). 1. (3, ) 7. es; is a right triangle because the side lengths satisf
Geometry Cumulative Review
Geometry Cumulative Review Name 1. Find a pattern for the sequence. Use the pattern to show the next term. 1, 3, 9, 27,... A. 81 B. 45 C. 41 D. 36 2. If EG = 42, find the value of y. A. 5 B. C. 6 D. 7
1/19 Warm Up Fast answers!
1/19 Warm Up Fast answers! The altitudes are concurrent at the? Orthocenter The medians are concurrent at the? Centroid The perpendicular bisectors are concurrent at the? Circumcenter The angle bisectors
2. P lies on the perpendicular bisector of RS ; Because. 168 ft. 3. P lies on the angle bisector of DEF;
9. = 9 x 9. = x 95. a. ft b. ft b ft c. 9. a. 0 ft b. ft c. hapter. Start Thinking ft ft The roof lines become steeper; The two top chords will get longer as the king post gets longer, but the two top
8.4 Warmup. Explain why the triangles are similar. Then find the value of x Hint: Use Pyth. Thm.
8.4 Warmup Explain why the triangles are similar. Then find the value of x. 1. 2. 15 x 4 6 20 x 18 3. 4. x Hint: Use Pyth. Thm. 1 Geometry 8.4 Proportionality Theorems 8.4 Essential Question What proportionality
TOPIC 4 Line and Angle Relationships. Good Luck To. DIRECTIONS: Answer each question and show all work in the space provided.
Good Luck To Period Date DIRECTIONS: Answer each question and show all work in the space provided. 1. Name a pair of corresponding angles. 1 3 2 4 5 6 7 8 A. 1 and 4 C. 2 and 7 B. 1 and 5 D. 2 and 4 2.