Geometry Pre-AP Unit 2: Oct 6 Oct 20 Date Topic Activity Assignment
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1 Friday 0/6 Geometry Pre-AP Unit : Oct 6 Oct 0 Date Topic Activity Assignment.5 You will construct congruent segments, Review H/W Pg. 30-3, # 9-5 congruent angles, angle bisectors, Perpendicular Pg. 6: 4-7, 5-6 lines, through a point on line, through a point not on Pg 30: 3, 6-7 the line, segment bisectors and perpendicular Pg 3: 5-7. bisector to a line, using a compass and straight edge. Monday 0/9. Segment length and Segments addition postulate. Ws fractional length in PDF Pg. 4: -8 Tuesday 0/0.3 &.4. Linear pair, same side interior, and Angle addition postulate Class practice Angle addition postulate #-4 Ws #-4 Pg. 9: -0, 5-30 Wed. 0/ PSAT DAY AND SENIOR WORKSHOP Pg. 5: -0. Thursday 0/ 3.3 You will construct parallel lines and transversals and make conjectures about angles formed on parallel lines and transversals lines. Quiz 4 Pg 9: -3, 6-9, Pg 04: -4, 7-8, -4, Pg. 0: 6-. Friday 0/3 Unit review..-.5, 3.3 WS plus Pg 04: -4, 7-8, -4, Pg. 0: 6-. Monday 0/6 Tuesday 0/7 Test : Constructions,.-.5, You will write -column and flow proofs for angle pairs, and segments WS practice. Ws Practice with angle pair #-8 WS writing column proofs: #-6 Wednesday 0/ You will write -column and flow proofs for parallel lines WS: -8 Thursday 0/9 You will write -column and flow proofs for angle addition. Parallel lines problems crook problems. Quiz 5 Early dismissal End of st 9 wks. WS: 9-. And WS angle addition Friday. 0/0 STUDENT HOLIDAY
2 Worksheet _Angle Addition postulate (interior points and angle bisector)
3 x 5 3x 3 Practice with Angle pair Relationships.. Name 3x 8 x + 5 6x 6 3. and 45 x = are complementary. 5x 5 4. m BAD 80 B 3 C D x = A 5. 4x + 5 x + 3 x = 6. x + 3x + 8 x = 7. x = 8. x = 3x + 5 5x 0 x = x =
4 Writing proofs Given: Circle R Circle S VW is the perpendicular bisector of RS Given: Circle R Circle S RVT SVT Given: Circle Q Circle S R is the midpoint of PT Given: Circle Q Circle S mrs mpq
5 Given: mbd mcd DAB DAC Given: mbd mcd m DAC m BAC Given: MK is the bisector of JL JML is isosceles Given: J L, MK JL K is the midpoint of JL
6 Write as column and flow proofs. Given: 3 3 Given: C bisects BD AB DE AC CE A B C D E This proof involves a little more work 3 Given: and are supplementary 3 3
7 4) Given: B bisects AC C bisects BD AB CD A B C D 5) Given: m = m 3 m + m 3 = 80 3 B 6) Given: bisects BAD m = m 3 m = m 3 AC A C 3 D
8 Practice PROOFS. Given: a b and c d 3 a 3 b c d. Given: a b and c d 3 a 5 3 b 4 c d 3. Given: a b and c d 4 3 a 4 5 b c d 4. Given: a b and c d 3 a 3 b c d
9 Geometry Proofs with Parallel Lines Name Period Date Write flow proofs on your own paper for each of the following:. Given: DE // BC A ED bisects AEB D Use for & 3 E 4 5. Given: AEB DEC 5 DE // BC B C 3. Given: BC//DF BA//DE A C 3 B D 4 F E 4. Given: RS//QT 4 QR//TS Q T 4 3 R S
10 A D 5. Given: 3 bisects ABC BC//DE BF B 4 3 F E C Use for problems 5 and 6 6. Given BC//DE 3 bisects ABC BF 7. Given: m m 5 80 m m 4 80 YZ//VU Use for 7 and 8 Y X 3 4 T Z V 5 U 8. Given: YZ//VU and 5 are supplementary XY//TU
11 9. Given: XS//TY R 4 Use for 9 and 0 RS//TQ X S T 3 4 Y Q 0. Given: RS//TQ SX TY bisects RST bisects STQ XS//TY. Given: CA bisects DAB AD//BE BC bisects ABE D C E and are complementary A B Use for and. Given: CA bisects DAB AD//BE and are complementary BC bisects ABE
12 Worksheet _Angle Addition postulate (interior points and angle bisector)
13
14 Name Geometry Date -'--- Period _ Distance and Segment Measure I. Points A, B, and Care collinear. The lengths of certain segments are given. Which point lies between the other two? Draw a sketch to just ify your answer, - L AC = 4, CB = 8, AB =. BA = 9, BC =, AC = 3 3. AB=5,AC=,BC=7 4. AB=5,AC=4,BC=9. 5. C lies OD Ail but not on AB I C lies on both ABand BA B does not lie on A C andc does not lie on AB I 8. AB>AC>BC 9. AC>BC>AB 0. BC > AB > AC II. Draw a sketch and solve algebraically. Does every arrangement bave a solution?. Given that AC = 4 and AB = (BC), fmd AB' and Be if:.a) B is between A and C b) C is between A and B c) A is between B and C AB=,BC= A.B=,BC= AB=,BC= --' --
15 . Given that AC = 4 and AB = 3(BC), find AB and Be if:. a) B is between Ard C b) C is between A and B c) A is between B and C.' AB=,BC= AB=.nc- AB=,BC= I :.3. Given-that AC = 8 and AB ==.!.BC, find AB and BC if: 5 a) B is between A and C b) C is between A and B c) A is between B and C <. I o.'""-" AB-, BC- AB= BC= AB=,BC= 4. Given that AB""!.BC and AC = 5, find AB and BC if: 6 a) B is between A and C b) C is between A and B c) A is between B and C. AB=,BC- AB=,BC = AB=,Be=
right angle an angle whose measure is exactly 90ᴼ
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