AMSCO'S Geometry. New York - Rye High School

166 Congruence of Line Segments,Angles, and TrianglesExercisesWriting About Mathematics1. Josh said that if two triangles are congruent and one of the triangles is isosceles, then theother must be isosceles. Do you agree with Josh? Explain why or why not.2. Alvan said that if two triangles are not congruent, then at least one of the three sides of onetriangle is not congruent to the corresponding side of the other triangle. Do you agree withAlvan? Justify your answer.Developing SkillsIn 3–5, pairs of line segments marked with the same number of strokes are congruent. A line segmentmarked with “” is congruent to itself by the reflexive property of congruence.In each case, is the given information sufficient to prove congruent triangles?3. C4. C B5. WFZDAR S TA B D EIn 6–8, two sides are marked to indicate that they are congruent. Name the pair of correspondingsides that would have to be proved congruent in order to prove the triangles congruent by SSS.6. B7. D C8.ADCIn 9–14, pairs of line segments marked with the same number of strokes are congruent. Pairs ofangles marked with the same number of arcs are congruent.A line segment or an angle marked with“” is congruent to itself by the reflexive property of congruence.In each case, is the given information sufficient to prove congruent triangles? If so, write theabbreviation for the postulate that proves the triangles congruent.9. B10. P S11.ABADEFCBCDDCARTQAB