Congruent Triangles. 1. In the accompanying diagram, B is the midpoint of
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1 ongruent Triangles Name: ate: 1. In the accompanying diagram, is the midpoint of,, E, and = E. Which method of proof may be used to prove = E?. SS = SS. S = S. HL = HL. S = S 4. In the accompanying diagram of quadrilateral, diagonal bisects and. Which statement can be used to prove that =?. HL = HL. SSS = SSS. S = S. SS = SS 2. In the accompanying diagram, and RST are right triangles with right angles at and S, respectively; = RS and = RT. 5. In the accompanying diagram, PR = SQ, PR RQ, and SQ RQ. Which statement can be used to prove that PQR = SRQ?. S = S. SS = SS. HL = HL Which statement can be used to justify that = RST?. SS = SS. S = S. HL = HL. S = S. SSS = SSS 6. In the accompanying diagram of quadrilateral QRST, RS = ST, SR QR, and ST QT. Which method of proof may be used to prove QRS = QTS? 3. Two triangles are congruent if. corresponding angles are congruent. HL. SS. S. S. corresponding sides and corresponding angles are congruent. the angles in each triangle have a sum of 180. corresponding sides are proportional 7. In the accompanying diagram, RL LP, LR RT, and M is the midpoint of TP. Which method could be used to prove TMR = PML?. SS = SS. S = S. HL = HL. SSS = SSS page 1
2 8. In the accompanying diagram, E,,, and E, = E, and is the midpoint of E. Which theorem justifies = E? 11. In the accompanying diagram, E is the midpoint of and.. SSS = SSS. SS = SS. S = S. SS = SS 9. In the accompanying diagram of isosceles triangle, is the vertex angle, M, and M is the midpoint of. Which statement can not be used to justify M = M?. HL = HL. S = S Triangle E can be proved congruent to triangle E by. S = S. S = S. SS = SS. SSS = SSS 12. In the accompanying diagram, and intersect at E, E is the midpoint of, and =.. SSS = SSS. = 10. In the accompanying diagram, point T is the midpoint of S and YU; SY and U are drawn. Which statement can be used to prove E = E. S = S. HL = HL. SSS = SSS. SS = SS Which statement can be used to prove STY = TU? 13. In the accompanying diagram, HK bisects IL and H = K.. SSS = SSS. SS = SS. S = S. HL = HL What is the most direct method of proof that could be used to prove HIJ = KLJ?. HL = HL. SS = SS. S = S. S = S page 2 ongruent Triangles
3 14. In the accompanying diagram of triangles T and FLU, = F and = FL. 17. In the diagram below, = XYZ. Which statement is needed to prove T = FLU? Which statement must be true?. = L.. = U. T = LU FL 15. In the diagram of and EF below, = E, =, and = E.. = Y. = X. = YZ. = XZ 18. s shown in the diagram below, bisects and =. Which method can be used to prove = EF?. SSS. SS. S. HL Which method could be used to prove =?. SSS.. SS. S 16. If JKL = MNO, which statement is always true?. KLJ = NMO. KJL = MON. JL = MO. JK = ON page 3 ongruent Triangles
4 19. The diagram below shows a pair of congruent triangles, with = and =. 21. In the diagram below, four pairs of triangles are shown. ongruent corresponding parts are labeled in each pair. Which statement must be true? =. = 20. In the diagram below of E and E, and intersect at E, such that E = E and E = E. Using only the information given in the diagrams, which pair of triangles can not be proven congruent? In the accompanying diagram of isosceles triangle, =, m = x, and m = x What is the value of x? Triangle E can be proved congruent to triangle E by 23. In the diagram below of, =, m = 3x, and m = x S. SS. SSS. HL What is the value of x? page 4 ongruent Triangles
5 24. In the accompanying diagram, isosceles = isosceles EF, m = 5x, and m = 2x Find m and m G. 27. In the accompanying diagram of isosceles triangle SUM, SM = UM and MU is an exterior angle formed by extending SU to. If m MU = 124, find m M. 25. The accompanying diagram shows the roof of a house that is in the shape of an isosceles triangle. The vertex angle formed at the peak of the roof is Given that is a parallelogram, a student wrote the proof below to show that a pair of its opposite angles are congruent. What is the measure of x? In the accompanying diagram of, =, is extended to, and m = 42. Find m. Statement Reason 1. is a parallelogram. 1. Given 2. = = 2. Opposite sides of a parallelogram are congruent. 3. = 3. Reflexive Postulate of ongruency 4. = 4. Side-Side-Side 5. = 5. What is the reason justifying that =?. Opposite angles in a quadrilateral are congruent.. Parallel lines have congruent corresponding angles.. orresponding parts of congruent triangles are congruent.. lternate interior angles in congruent triangles are congruent. page 5 ongruent Triangles
6 Problem-ttic format version c Educide Software Licensed for use by dfoerster@ws.k12.ny.us Terms of Use at ongruent Triangles 01/10/ m = 120 and m G =
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