Final Worksheet --- no answers
|
|
- Erick Norton
- 5 years ago
- Views:
Transcription
1 Geometry (ession 1) d o20y1u6m QOuhta fofxtywpacrzep ye.o a _l[lp rsijghhvtgs irejsperyv]eqds. inal Worksheet --- no answers Name I: 1 ketch an eample of the type of triangle described. ark the triangle to indicate what information is known. If no triangle can be drawn, write "not possible." ate 1) equilateral ) 2) acute isosceles ) ) ) ) ) ) ) ind the measure of angle. 3) 4) ) 40 ) 55 ) 50 ) ) 75 ) 28 ) 34 ) 21 l2f0]16] ZWuZtbaO HGoZfXtwrareec mti.i r `NlqlZ crhig[hts Gr\e^sQearcvnetdI.J w onadwer Gwi`tNhw ginfinqiytgev RGeewoNmgewtOrys. -1- Worksheet by uta oftware
2 ind the measure of the angle indicated. 5) ind m Q. 6) ind m. Q P 47 ) 69 ) 64 ) 48 ) 111 R ) 80 ) 89 ) 49 ) 79 Write a statement that indicates that the triangles in each pair are congruent. 7) 8) Z X V ) ) ) ) Y ) XY ) YX ) YX ) YX tate what additional information is required in order to know that the triangles are congruent for the reason given. 9) H 10) J or or ) P201f6 tutead zxofztcwoakrve[ JGV. c Ilhll rni_guhqtuss drceysmerruvme\dg.q o cayddeb RwpiYtvh didn^fiwndift`eg Ggeqo\myeturmy. -2- Worksheet by uta oftware
3 ind the value of. 11) m 2 = ) m 2 = ) -7 ) -13 ) 8 ) -9 ) -7 ) 14 ) 9 ) -11 ind the missing length indicated. 13) ind 14) ind ) 17 ) 156 ) 70 ) ) 4 ) 164 ) 38 ) 180 ach figure shows a triangle with its three angle bisectors intersecting at point P. 15) ind P if = 5 and P = 6. 16) = 4 and P = 5. ind P. P ) 3.46 ) 3.32 ) 1.73 ) 3.74 ) 3.87 ) 5.83 ) 3 ) 2.65 P f 2s0q1P6t uuptya] cqoofthwadrre opxz.v p VQlYlZ r\ipghwts` RroeVsrehrHved.e e baqdke _wjitlh` linefinhiteeh kgjeoovmpertkrym. -3- Worksheet by uta oftware
4 ach figure shows a triangle with one or more of its medians. 17) ind if = -2 + and = G ) 7 ) 14 ) 3.5 ) ) ind if = and = 5-5 G ) 20 ) 40 ) 6.67 ) 60 wo sides of a triangle have the following measures. ind the range of possible measures for the third side. 19) 50, 50 ) 0 < < 97 ) 0 < < 100 ) 1 < < 99 ) 3 < < 99 20) 26, 38 ) 12 < < 64 ) 15 < < 64 ) 13 < < 63 ) 13 < < 64 Order the angles in each triangle from smallest to largest. 21) In G = 5 G = G = 5 ) ; G and ) G and ; ), G, ) G and ; 22) In = = 9 = ),, ),, ),, ),, ind the length of the base indicated for each trapezoid. 23) ind YV 24) ind W X 19 W 13 V G Y ) 68 ) 52 ) 58 ) 77 V ) 29 ) 16 ) 13 ) 21 W \ 2t0X1t6p ]QultsaZ odfqtywjajr[en NGW.G j ifll riygphltysa revs^erdvoendb.y q [waidge wni[trha kiwnkfvionzitzev mg`ebom^eotrwya. -4- Worksheet by uta oftware
5 ind the missing measurement. Round your answer to the nearest tenth. ake care to use the correct units. 25) 32 cm 9.6 cm? cm 10.7 cm rea = cm² ) 13.4 cm ) 18.3 cm ) 8.2 cm ) 14.9 cm 26)? ft in rea = ft² 24.1 ft ) 3.7 ft ) 3.7 ) 40.3 ft ) 44 ft olve for. he triangles in each pair are similar. 27) ~ J 28) ~ R R ) 29 ) 50 ) 14 ) 38 J ) 35 ) 17 ) 41 ) 45 ind the missing side lengths. eave your answers as radicals in simplest form. 29) 60 30) ) 14 ) 28 6 ) ) ) ) 42 ) 21 6 ) 56 6 j2v0o1^6w z^uwtwaz Y`ofotNwjadrZeG ibs.e k ]Hlolv GrHigh_tbs^ Jryecsheqrdvqe]dl.l z `faodeh lwiotnh_ viqnofdionpiqte igeromletcryi. -5- Worksheet by uta oftware
6 ind the value of each trigonometric ratio. 31) sin Z 32) tan Z 35 X Y ) 5 3 ) ) 4 5 ) 3 5 ) 4 5 ) 3 4 ) 3 4 ) 4 3 ind the length of the segment indicated. Round your answer to the nearest tenth if necessary. 33) 34) ) 5.8 ) 6.4 ) 11.5 ) 8.4 ) 12.3 ) 12.6 ) 10 ) 12.8 olve for. ssume that lines which appear to be tangent are tangent. 35) 36) ) 10 ) 12 ) 5.6 ) 9 ) 8 ) 3 ) 5 ) 7 r b2f0v16 tputra cohf\tgwnakrzeu ^Nhc.V lgl ryigxhltts `rzensteqr]vietdn.k b PHa\dVeg Jwpith_ qinnifiyniathew ngneioymzeutpryr. -6- Worksheet by uta oftware
7 ind the measure of the arc or angle indicated. ssume that lines which appear tangent are tangent. 37) ind m 65 J ) 170 ) 158 ) 130 ) ) ind m ) 117 ) 103 ) 163 ) 108 N 25-1 ind the measure of the line segment indicated. ssume that lines which appear tangent are tangent. 39) ind 40) ind Q 9 N ) 5 ) 8 ) 7 ) P 7 R ) 14 ) 10 ) 8 ) 18 Q y 2u0u1d6w P`uVtNa `o\ftsw_araei lg.f g ^lvlo qrrieghstgsh _rewse[rpvfefdw.o Iwadseq hw^inthw mibncfvibn^ittneh egeboomweat]rya. -7- Worksheet by uta oftware
Chapter 4 Trigonometric Functions
SECTION 4.1 Special Right Triangles and Trigonometric Ratios Chapter 4 Trigonometric Functions Section 4.1: Special Right Triangles and Trigonometric Ratios Special Right Triangles Trigonometric Ratios
More informationExercise Set 4.1: Special Right Triangles and Trigonometric Ratios
Eercise Set.1: Special Right Triangles and Trigonometric Ratios Answer the following. 9. 1. If two sides of a triangle are congruent, then the opposite those sides are also congruent. 2. If two angles
More informationChapter 12 Practice Test
hapter 12 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. ssume that lines that appear to be tangent are tangent. is the center of the circle.
More informationName: 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
More informationName Score Period Date. m = 2. Find the geometric mean of the two numbers. Copy and complete the statement.
Chapter 6 Review Geometry Name Score Period Date Solve the proportion. 3 5 1. = m 1 3m 4 m = 2. 12 n = n 3 n = Find the geometric mean of the two numbers. Copy and complete the statement. 7 x 7? 3. 12
More informationName Date Period Notes Formal Geometry Chapter 8 Right Triangles and Trigonometry 8.1 Geometric Mean. A. Definitions: 1.
Name Date Period Notes Formal Geometry Chapter 8 Right Triangles and Trigonometry 8.1 Geometric Mean A. Definitions: 1. Geometric Mean: 2. Right Triangle Altitude Similarity Theorem: If the altitude is
More information2) Find CS if CI = 6x 2 and IS = x + 3 A) 45 B) 15 C) 22.5 D) ) Find TR if TR = 2x + 17 and JR = 2x + 5 A) 16 B) 8 C) 12 D) 24
eometry Assignment : 1 Name ate eriod ach figure shows a triangle with one or more of its medians. 1) ind if = 7x 1 and = 4x + 2) ind if = 6x 2 and = x + 3 A) 13 ) 19. ) 8.67 ) 26 A A) 4 ) 1 ) 22. ) 7.
More informationGeometry Warm Up Right Triangles Day 8 Date
Geometry Warm Up Right Triangles Day 8 Name Date Questions 1 4: Use the following diagram. Round decimals to the nearest tenth. P r q Q p R 1. If PR = 12 and m R = 19, find p. 2. If m P = 58 and r = 5,
More information0520 Geometry Name A) 90 B) 115 C) 71 D) 35. Solve for x. A) 9 B) 8 C) 10 D) 7. Find the measure of each angle indicated. 3) m Z
-1- Q m2e0d1f3g zknujtsav lsosfrtjwlatr2e6 LbLZ5.M 8 EAPlglw GroiOgohctYsW cr5ebskerwvuehds.g b ymmatdmep zwiizt0hb niinefhiundi3tyev ng5ekovm5eqtmrhya.v Worksheet by Kuta Software LL 0520 Geometry Name
More informationTo construct the roof of a house, an architect must determine the measures of the support beams of the roof.
Metric Relations Practice Name : 1 To construct the roof of a house, an architect must determine the measures of the support beams of the roof. m = 6 m m = 8 m m = 10 m What is the length of segment F?
More informationA2T Trig Packet Unit 1
A2T Trig Packet Unit 1 Name: Teacher: Pd: Table of Contents Day 1: Right Triangle Trigonometry SWBAT: Solve for missing sides and angles of right triangles Pages 1-7 HW: Pages 8 and 9 in Packet Day 2:
More informationGeometry Final Exam Review
Name: Date: Period: Geometry Final Exam Review 1. Fill in the flow chart below with the properties that belong to each polygon. 2. Find the measure of each numbered angle: 3. Find the value of x 4. Calculate
More informationPrecalculus Summer Assignment 2015
Precalculus Summer Assignment 2015 The following packet contains topics and definitions that you will be required to know in order to succeed in CP Pre-calculus this year. You are advised to be familiar
More informationArkansas Council of Teachers of Mathematics 2012 State Competition Geometry Exam. B. 28 (5x-41) 3 m (2x+25)
rkansas ouncil of Teachers of Mathematics 2012 State ompetition Geometry Exam For questions 1 through 25, mark your answer choice on the answer sheet provided. (Figures may not be drawn to scale.) fter
More informationIntegrated Math II. IM2.1.2 Interpret given situations as functions in graphs, formulas, and words.
Standard 1: Algebra and Functions Students graph linear inequalities in two variables and quadratics. They model data with linear equations. IM2.1.1 Graph a linear inequality in two variables. IM2.1.2
More information8 Right Triangle Trigonometry
www.ck12.org CHAPTER 8 Right Triangle Trigonometry Chapter Outline 8.1 THE PYTHAGOREAN THEOREM 8.2 CONVERSE OF THE PYTHAGOREAN THEOREM 8.3 USING SIMILAR RIGHT TRIANGLES 8.4 SPECIAL RIGHT TRIANGLES 8.5
More informationSquare Root Functions 10.1
Square Root Functions 10.1 Square Root Function contains the square root of the variable. Parent Function: f ( x) = Type of Graph: Curve Domain: x 0 Range: y 0 x Example 1 Graph f ( x) = 2 x and state
More informationAlgebra 1B. Unit 9. Algebraic Roots and Radicals. Student Reading Guide. and. Practice Problems
Name: Date: Period: Algebra 1B Unit 9 Algebraic Roots and Radicals Student Reading Guide and Practice Problems Contents Page Number Lesson 1: Simplifying Non-Perfect Square Radicands 2 Lesson 2: Radical
More informationUnit 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
More information1 Line n intersects lines l and m, forming the angles shown in the diagram below. 4 In the diagram below, MATH is a rhombus with diagonals AH and MT.
1 Line n intersects lines l and m, forming the angles shown in the diagram below. 4 In the diagram below, MATH is a rhombus with diagonals AH and MT. Which value of x would prove l m? 1) 2.5 2) 4.5 3)
More informationSkills Practice Skills Practice for Lesson 3.1
Skills Practice Skills Practice for Lesson.1 Name Date Get Radical or (Be)! Radicals and the Pythagorean Theorem Vocabulary Write the term that best completes each statement. 1. An expression that includes
More informationIndicate whether the statement is true or false.
PRACTICE EXAM IV Sections 6.1, 6.2, 8.1 8.4 Indicate whether the statement is true or false. 1. For a circle, the constant ratio of the circumference C to length of diameter d is represented by the number.
More information15 x. Substitute. Multiply. Add. Find the positive square root.
hapter Review.1 The Pythagorean Theorem (pp. 3 70) Dynamic Solutions available at igideasmath.com Find the value of. Then tell whether the side lengths form a Pythagorean triple. c 2 = a 2 + b 2 Pythagorean
More informationAnswer Key. 7.1 Tangent Ratio. Chapter 7 Trigonometry. CK-12 Geometry Honors Concepts 1. Answers
7.1 Tangent Ratio 1. Right triangles with 40 angles have two pairs of congruent angles and therefore are similar. This means that the ratio of the opposite leg to adjacent leg is constant for all 40 right
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
MATH 116 Test Review sheet SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 1) Find the complement of an angle whose measure
More informationGEOMETRY REVIEW FOR MIDTERM
Y VIW I he midterm eam for period is on /, 0:00 to :. he eam will consist of approimatel 0 multiple-choice and open-ended questions. Now is the time to start studing!!! PP eviews all previous assessments.
More informationReteaching , or 37.5% 360. Geometric Probability. Name Date Class
Name ate lass Reteaching Geometric Probability INV 6 You have calculated probabilities of events that occur when coins are tossed and number cubes are rolled. Now you will learn about geometric probability.
More informationAlgebra 2 Summer Assignment
Geometr Algebra Summer Assignment Name ID: 1 Date Period This assignment is for students who have completed Geometr and are taking Algebra in the 018-019 school ear. 1) Did ou read the instructions? )
More informationGeometry. Class Examples (July 3) Paul Yiu. Department of Mathematics Florida Atlantic University. Summer 2014
Geometry lass Examples (July 3) Paul Yiu Department of Mathematics Florida tlantic University c b a Summer 2014 Example 11(a): Fermat point. Given triangle, construct externally similar isosceles triangles
More informationGiven: 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. ) ) ) )
More informationGeometry: A Complete Course
eometry: omplete ourse with rigonometry) odule - tudent Worket Written by: homas. lark Larry. ollins 4/2010 or ercises 20 22, use the diagram below. 20. ssume is a rectangle. a) f is 6, find. b) f is,
More information1. Use. What are the vertices of A.,, B.,, C.,, D.,,
1. Use. What are the vertices of A.,, B.,, C.,, D.,, 2. Given, how are the distances to the origin from each image point related to the distance to the origin from each corresponding preimage point? A.
More informationSM2H Unit 6 Circle Notes
Name: Period: SM2H Unit 6 Circle Notes 6.1 Circle Vocabulary, Arc and Angle Measures Circle: All points in a plane that are the same distance from a given point, called the center of the circle. Chord:
More informationFind the area of the triangle. You try: D C. Determine whether each of the following statements is true or false. Solve for the variables.
lameda USD Geometr enchmark Stud Guide ind the area of the triangle. 9 4 5 D or all right triangles, a + b c where c is the length of the hpotenuse. 5 4 a + b c 9 + b 5 + b 5 b 5 b 44 b 9 he area of a
More informationUsing Isosceles and Equilateral Triangles
Geometry Unit 4: Intro to Triangles Name Day 2: Isosceles, Equilateral, and Sum of Triangles Notes Block Date Today, we will understand isosceles and equilateral triangles And you will be able to find
More informationFLEX Mathematics Introduction to Trigonometry. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
FLEX Mathematics Introduction to Trigonometry Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the expression. 1) 8 tan 0 + 3 csc 20
More informationSection 7.2: Area of a Triangle
CHAPTER 7 Trigonometric Applications to Triangles Section 7.2: Area of a Triangle Finding Areas Finding Areas Formulas for the Area of a Triangle: 600 University of Houston Department of Mathematics SECTION
More informationUsing Properties of Segments that Intersect Circles
ig Idea 1 H UY I I Using roperties of egments that Intersect ircles or Your otebook You learned several relationships between tangents, secants, and chords. ome of these relationships can help you determine
More information11.2 Start Thinking Warm Up Cumulative Review Warm Up
11.2 Start Thinking The circle in the diagram has a diameter of 14 inches. What is the area of the circle? Use the area of the circle to calculate the area of the sector created b the given measure of
More informationUnit 1 Review. To prove if a transformation preserves rigid motion, you can use the distance formula: Rules for transformations:
Unit 1 Review Function Notation A function is a mathematical relation so that every in the corresponds with one in the. To evaluate a function, f(x), substitute the for every x and calculate. Example:
More information13.3 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
More informationVocabulary. 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
More informationSpecial Right Triangles
. Special Right Triangles Essential Question What is the relationship among the side lengths of - - 0 triangles? - - 0 triangles? Side Ratios of an Isosceles Right Triangle ATTENDING TO PRECISION To be
More information0609ge. Geometry Regents Exam AB DE, A D, and B E.
0609ge 1 Juliann plans on drawing ABC, where the measure of A can range from 50 to 60 and the measure of B can range from 90 to 100. Given these conditions, what is the correct range of measures possible
More informationHigh School Math Contest
High School Math Contest University of South Carolina February 4th, 017 Problem 1. If (x y) = 11 and (x + y) = 169, what is xy? (a) 11 (b) 1 (c) 1 (d) 4 (e) 48 Problem. Suppose the function g(x) = f(x)
More informationIncoming 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
More information0112ge. Geometry Regents Exam Line n intersects lines l and m, forming the angles shown in the diagram below.
Geometry Regents Exam 011 011ge 1 Line n intersects lines l and m, forming the angles shown in the diagram below. 4 In the diagram below, MATH is a rhombus with diagonals AH and MT. Which value of x would
More informationName: 2015 Midterm Review Period: Date:
GEOMETRY Name: 2015 Midterm Review Period: Date: To be prepared for your midterm, you will need to PRACTICE PROBLEMS and STUDY TERMS from the following chapters. Use this guide to help you practice. UNIT
More informationMidterm Review Packet. Geometry: Midterm Multiple Choice Practice
: Midterm Multiple Choice Practice 1. In the diagram below, a square is graphed in the coordinate plane. A reflection over which line does not carry the square onto itself? (1) (2) (3) (4) 2. A sequence
More informationChapter 7 Sect. 2. A pythagorean triple is a set of three nonzero whole numbers a, b, and c, that satisfy the equation a 2 + b 2 = c 2.
Chapter 7 Sect. 2 The well-known right triangle relationship called the Pythagorean Theorem is named for Pythagoras, a Greek mathematician who lived in the sixth century b.c. We now know that the Babylonians,
More informationChapter 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
More informationExample 1: Finding angle measures: I ll do one: We ll do one together: You try one: ML and MN are tangent to circle O. Find the value of x
Ch 1: Circles 1 1 Tangent Lines 1 Chords and Arcs 1 3 Inscribed Angles 1 4 Angle Measures and Segment Lengths 1 5 Circles in the coordinate plane 1 1 Tangent Lines Focused Learning Target: I will be able
More informationTest Corrections for Unit 1 Test
MUST READ DIRECTIONS: Read the directions located on www.koltymath.weebly.com to understand how to properly do test corrections. Ask for clarification from your teacher if there are parts that you are
More informationNozha Directorate of Education Form : 2 nd Prep. Nozha Language Schools Ismailia Road Branch
Cairo Governorate Department : Maths Nozha Directorate of Education Form : 2 nd Prep. Nozha Language Schools Sheet Ismailia Road Branch Sheet ( 1) 1-Complete 1. in the parallelogram, each two opposite
More informationChapter 8: Right Triangles Topic 5: Mean Proportions & Altitude Rules
Name: Date: Do Now: Use the diagram to complete all parts: a) Find all three angles in each triangle. Chapter 8: Right Triangles Topic 5: Mean Proportions & Altitude Rules b) Find side ZY c) Are these
More informationChapter 13: Trigonometry Unit 1
Chapter 13: Trigonometry Unit 1 Lesson 1: Radian Measure Lesson 2: Coterminal Angles Lesson 3: Reference Angles Lesson 4: The Unit Circle Lesson 5: Trig Exact Values Lesson 6: Trig Exact Values, Radian
More information2013 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
More informationQuarterly Assessment 2 STUDY GUIDE. Name: Date: Per: 1. The two triangle shaped rooms are congruent. Find the missing side lengths and angle measures.
Quarterly ssessment 2 STUDY GUIDE Name: Date: Per: 1. The two triangle shaped rooms are congruent. Find the missing side lengths and angle measures. 48 o h 8 ft r 10.5 ft u 6ft s c 42 o a. c = 8 ft r =
More informationPRACTICE PROBLEMS CH 8 and Proofs
GEOM PRACTICE PROBLEMS CH 8 and Proofs Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the length of the missing side. The triangle is not drawn to
More informationFinal Exam Review Packet
Final Exam Review Packet Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the length of the missing side. The triangle is not drawn to scale. 6 8 a.
More informationDate Period In each problem, angle C is a right angle. Solve each triangle rounding answers to the nearest tenth. 12) sec 29p 6
Pre Calc T YV0X1^S IKQuZtIal ]SEoofttCwIa_rZeq oltlaci.n T gaolslu ErEi]gjhkt[s\ Ar\efsQe_rsvoeXdM. Trig Review Name Date Period In each problem, angle C is a right angle. Solve each triangle rounding
More informationGeometer: 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
More informationExamples: 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
More informationMathematics 5 SN TRIGONOMETRY PROBLEMS 2., which one of the following statements is TRUE?, which one of the following statements is TRUE?
Mathematics 5 SN TRIGONOMETRY PROBLEMS 1 If x 4 which one of the following statements is TRUE? A) sin x > 0 and cos x > 0 C) sin x < 0 and cos x > 0 B) sin x > 0 and cos x < 0 D) sin x < 0 and cos x
More informationTrigonometry 1st Semester Review Packet (#2) C) 3 D) 2
Trigonometry 1st Semester Review Packet (#) Name Find the exact value of the trigonometric function. Do not use a calculator. 1) sec A) B) D) ) tan - 5 A) -1 B) - 1 D) - Find the indicated trigonometric
More informationPage 1 of 11 Name: 1) Which figure always has exactly four lines of reflection that map the figure onto itself? A) rectangle B) square C) regular octagon D) equilateral triangle ee4caab3 - Page 1 2) In
More information8-2 Trigonometric Ratios
8-2 Trigonometric Ratios Warm Up Lesson Presentation Lesson Quiz Geometry Warm Up Write each fraction as a decimal rounded to the nearest hundredth. 1. 2. 0.67 0.29 Solve each equation. 3. 4. x = 7.25
More informationAssignment 1 and 2: Complete practice worksheet: Simplifying Radicals and check your answers
Geometry 0-03 Summary Notes Right Triangles and Trigonometry These notes are intended to be a guide and a help as you work through Chapter 8. These are not the only thing you need to read, however. Rely
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXMINTION GEOMETRY Thursday, January 26, 2012 9:15 a.m. to 12:15 p.m., only Student Name: Notice School Name: Print your name and the
More informationObjective Mathematics
. In BC, if angles, B, C are in geometric seq- uence with common ratio, then is : b c a (a) (c) 0 (d) 6. If the angles of a triangle are in the ratio 4 : :, then the ratio of the longest side to the perimeter
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use the appropriate identity to find the indicated function value. Rationalize the denominator,
More information1. How is five hundred twelve and sixteen thousandths written in decimal form? a b c. 512,160 d e f.
1. How is five hundred twelve and sixteen thousandths written in decimal form? a. 51.016 b. 51.16 c. 51,160 d. 51.16 e. 51.0016. 4 1 3 13 4 =? 7 f. 1 5 g. 3 1 h. 3 3 5 i. 1 j. 1 1 8 3. Simplify 3 11 +
More informationSummer Work for students entering PreCalculus
Summer Work for students entering PreCalculus Name Directions: The following packet represent a review of topics you learned in Algebra 1, Geometry, and Algebra 2. Complete your summer packet on separate
More information~ 1 ~ Geometry 2 nd Semester Review Find the value for the variable for each of the following situations
Geometry nd Semester Review 018 Find the value for the variable for each of the following situations. 7. 400 m 1. 7 8. y. 8.9 cm 0 0 9.. 19 6 60 1 11 10. 45 4. 58 5 11. 5. 11 6. 18 1 slide 4.1 meters long
More informationGeometry Final Exam REVIEW
Name: Class: _ Date: _ Geometry Final Exam 09-10 - REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the perimeter and area of the parallelogram.
More information1 st Preparatory. Part (1)
Part (1) (1) omplete: 1) The square is a rectangle in which. 2) in a parallelogram in which m ( ) = 60, then m ( ) =. 3) The sum of measures of the angles of the quadrilateral equals. 4) The ray drawn
More informationRadicals and Pythagorean Theorem Date: Per:
Math 2 Unit 7 Worksheet 1 Name: Radicals and Pythagorean Theorem Date: Per: [1-12] Simplify each radical expression. 1. 75 2. 24. 7 2 4. 10 12 5. 2 6 6. 2 15 20 7. 11 2 8. 9 2 9. 2 2 10. 5 2 11. 7 5 2
More informationb, P.I. A2.N.5
Math B Regents Exam 0609 Page. 06090b, P.I. A.M. The number of degrees equal to 5 9 radians is [A] 90 [B] 45 [C] 900 [D] 00. 06090b, P.I. A.G. The accompanying graph shows the curves of best fit for data
More informationChapter 3. The angle bisectors. 3.1 The angle bisector theorem
hapter 3 The angle bisectors 3.1 The angle bisector theorem Theorem 3.1 (ngle bisector theorem). The bisectors of an angle of a triangle divide its opposite side in the ratio of the remaining sides. If
More informationGeometry review two. Name: Class: Date: Multiple Choice Identify the letter of the choice that best completes the statement or answers the question.
Name: Class: Date: Geometr review two Multiple Choice Identif the letter of the choice that best completes the statement or answers the question. 1. If a b = 5, then 3a =. 3 2. a. 3b b. 10b c. 5b d. 6b
More informationHigh School Math Contest
High School Math Contest University of South Carolina February th, 017 Problem 1. If (x y) = 11 and (x + y) = 169, what is xy? (a) 11 (b) 1 (c) 1 (d) (e) 8 Solution: Note that xy = (x + y) (x y) = 169
More informationGeometry Final Review. Chapter 1. Name: Per: Vocab. Example Problems
Geometry Final Review Name: Per: Vocab Word Acute angle Adjacent angles Angle bisector Collinear Line Linear pair Midpoint Obtuse angle Plane Pythagorean theorem Ray Right angle Supplementary angles Complementary
More informationSummer Work for students entering PreCalculus
Summer Work for students entering PreCalculus Name Directions: The following packet represent a review of topics you learned in Algebra 1, Geometry, and Algebra 2. Complete your summer packet on separate
More information(A) 30 (B) -60 (C) 135 (D) -150 (E) 210 (F) 225 (G) 240 (H) 270. (C) - 2 p. (H) 3 p. (C) tan 5 p. (G) cos 7 p. (K) sin - 2 p
Geometry (H) Review: Third Quarter Trigonometric Functions 1. Convert each angle in degrees to an equivalent angle in radians. (A) 0 (B) -0 (C) 15 (D) -150 (E) 210 (F) 225 (G) 20 (H) 270 2. Convert each
More informationExercise Set 4.3: Unit Circle Trigonometry
Eercise Set.: Unit Circle Trigonometr Sketch each of the following angles in standard position. (Do not use a protractor; just draw a quick sketch of each angle. Sketch each of the following angles in
More informationGeometry. of Right Triangles. Pythagorean Theorem. Pythagorean Theorem. Angles of Elevation and Depression Law of Sines and Law of Cosines
Geometry Pythagorean Theorem of Right Triangles Angles of Elevation and epression Law of Sines and Law of osines Pythagorean Theorem Recall that a right triangle is a triangle with a right angle. In a
More informationAnswers. Chapter 9 A92. Angles Theorem (Thm. 5.6) then XZY. Base Angles Theorem (Thm. 5.6) 5, 2. then WV WZ;
9 9. M, 0. M ( 9, 4) 7. If WZ XZ, then ZWX ZXW ; Base Angles Theorem (Thm..6). M 9,. M ( 4, ) 74. If XZ XY, then XZY Y; Base Angles Theorem (Thm..6). M, 4. M ( 9, ) 7. If V WZV, then WV WZ; Converse of
More informationPractice Test - Chapter 4
Find the value of x. Round to the nearest tenth, if necessary. Find the measure of angle θ. Round to the nearest degree, if necessary. 1. An acute angle measure and the length of the hypotenuse are given,
More informationName: GEOMETRY: EXAM (A) A B C D E F G H D E. 1. How many non collinear points determine a plane?
GMTRY: XM () Name: 1. How many non collinear points determine a plane? ) none ) one ) two ) three 2. How many edges does a heagonal prism have? ) 6 ) 12 ) 18 ) 2. Name the intersection of planes Q and
More informationCBSE QUESTION PAPER CLASS-X MATHS
CBSE QUESTION PAPER CLASS-X MATHS SECTION - A Question 1:If sin α = 1 2, then the value of 4 cos3 α 3 cos α is (a)0 (b)1 (c) 1 (d)2 Question 2: If cos 2θ = sin(θ 12 ), where2θ and (θ 12 ) are both acute
More informationState what additional information is required in order to know that the triangles are congruent for the reason given. 6) AAS -1-
-1- V s2e0e143r pkquot7af BSBoBfBtrwva5r3eh 0LEL0Cp.h l kaultlv LraicgbhAt9ss 5rIe1sGegrcvZe4de.f Y IMeagd5ey mwliqtyht GINnOfwiDn9ixtyeP AGNepoImAektIreyK.N Worksheet by Kuta Software LLC Geometry Unit
More informationLos Angeles Unified School District Periodic Assessments. Geometry. Assessment 2 ASSESSMENT CODE LA08_G_T2_TST_31241
Los Angeles Unified School District Periodic Assessments Assessment 2 2008 2009 Los Angeles Unified School District Periodic Assessments LA08_G_T2_TST_31241 ASSESSMENT ODE 1100209 The test items contained
More informationUnit 1. GSE Analytic Geometry EOC Review Name: Units 1 3. Date: Pd:
GSE Analytic Geometry EOC Review Name: Units 1 Date: Pd: Unit 1 1 1. Figure A B C D F is a dilation of figure ABCDF by a scale factor of. The dilation is centered at ( 4, 1). 2 Which statement is true?
More information9.3. Practice C For use with pages Tell whether the triangle is a right triangle.
LESSON 9.3 NAME DATE For use with pages 543 549 Tell whether the triangle is a right triangle. 1. 21 2. 3. 75 6 2 2 17 72 63 66 16 2 4. 110 5. 4.3 6. 96 2 4.4 10 3 3 4.5 Decide whether the numbers can
More informationGeometry. Trigonometry of Right Triangles. Slide 1 / 240. Slide 2 / 240. Slide 3 / 240
New Jersey enter for Teaching and Learning Slide 1 / 240 Progressive Mathematics Initiative This material is made freely available at www.njctl.org and is intended for the non-commercial use of students
More informationMT - w A.P. SET CODE MT - w - MATHEMATICS (71) GEOMETRY- SET - A (E) Time : 2 Hours Preliminary Model Answer Paper Max.
.P. SET CODE.. Solve NY FIVE of the following : (i) ( BE) ( BD) ( BE) ( BD) BE D 6 9 MT - w 07 00 - MT - w - MTHEMTICS (7) GEOMETRY- (E) Time : Hours Preliminary Model nswer Paper Max. Marks : 40 [Triangles
More informationTENTH YEAR MATHEMATICS
The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION TENTH YEAR MATHEMATICS Tuesday, June 16,1987-1:15 to 4:15 p.m., only The last page of the booklet is the answer sheet. Fold the last
More informationLevel 1: Simplifying (Reducing) Radicals: 1 1 = 1 = 2 2 = 4 = 3 3 = 9 = 4 4 = 16 = 5 5 = 25 = 6 6 = 36 = 7 7 = 49 =
Name Period Date Unit 5:Special Right Triangles and TrigonometryNotes Packet #1 Section 7.2/7.3: Radicals, Pythagorean Theorem, Special Right Triangles (PA) CRS NCP 24-27 Work with squares and square roots
More informationReady 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
More informationThe equation 8(9x + 7) 7(6x 5) = 1 has the solution x = k, where k is a positive integer. Pass on the value of k.
A1 The equation 8(9x + 7) 7(6x 5) = 1 has the solution x = k, where k is a positive integer. Pass on the value of k. A3 Y is proportional to the reciprocal of the square of X. Y = 20 when X = 6. Pass on
More information