view Test 2B Review Per 60 Test 2B Review Test 2B Review Test 2B Review (3) Given: ABCD and AQRS with marked congruent sides. In addition, Jordan also discovered that LD : ZS and ZB # 4Q. (1) Given: AABC and ACDA with ZBAC = LDCA , BA = DC. Jordan claims that the both ABCD and AQRS provided in the diagram are congruent. Emily claims that the both AABC and ACD A provided in the diagram are congruent. a. Is Jordan correct in his claim? B a. Is Emily correct in her claim? Congruent / Not Congruent Congruent / Not Congruent OD b. Explain why or why not . A C b. Explain why or why not. By _S _ A = Theorem, R By A = Theorem, D since since OR (2) a. Name the sequence of transformations that will map Figure A onto Figure B. By _A A_ A = Theorem, at y since then B (4) Given: ASRT Is shown to the right. 3x - 30 b. Write the coordinate notation What is the measure of the Vertex Angle, LR ? B -7 1- 5 4- 3 -2 -1 3 4 5 6 7 ( x , y ) - ( 2x +40 A MAR=(10) Aaliyah claims that the two Is provided in the diagram are congruent by the SAS (side-angle-side) Triangle Congruence Theorem. (12) Carl's Construction is building a house with an A-frame roof. Carl has constructed a triangular frame for the front of the roof, similar to AABC in the diagram. Carl will insert a crossbar, represented by DE, connecting the midpoints of AB and BC for the A-frame roof. 3 in. B 2 in. 2 in. 40 40 3 in. D E a. Is Aaliyah correct in her claim? Congruent / Not Congruent What statements can we make about the segments & angles involved in this A-frame roof. b. Explain why or why not. = L (11) Given: AABC Prove: m41 + m/2 + m43 = 180 4 B 3 5 e (13) What is the length of JK? S.A.W. (show all work) (6x - 4) m RK Statements Reasons JK = _ Draw line e || to AC through pt. B 1. Parallel Postulate (10x) m (14) Why is it necessary to prove theorems we learned about triangles? 2 . 41=24, 42 = 45 2. Thm. 3. 3. Def. of Congruent Ls m/4+ m/5+m/3 =180 4. Def. 5 5.(5) Given: AABC is shown to the right. command a. What is the measure of the Base Angle, LA ? B (8) Fill in the blanks to complete the paragraph proof. ( 4x + 2)0 Given: WZ bisects XY , XY blsects WZ. Prove: AWAX = AZAY MLA = a. It is given that WZ bisects XY b. What is the measure of the Exterior Angle, LBCD ? (7x+8)0 so we can imply that XA = YA by the Definition of A D . It is also given that XY bisects WZ so we can imply that m/BCD = by the Definition of Segment Bisector. . By the (6) a. What value of x guarantees that APNM = APLM ? P 5x - 2 N Le Theorem , then we can conclude that 4_ 5 m d. Therefore, AWAX = AZAY by the A= Theorem. 9+x M (9) Order the sides or angles fro least to greatest. K 5 m 5 cm a. Given: AJKL is shown to the right 7 cm b. Which triangle congruence theorem can help Justifies the triangles are congruent? Order the angle measures from least to greatest 4= Theorem 9 cm (7) Name all the = Theorems we have learned to help us check if two s are b. Given: AXYZ is shown to the right (1) (2) A= Theorem Order the side lengths from least to greatest 124 (3) A= Theorem (4) A= Theorem 34 220 (5) A= Theorem (6) 4= Theorem