AMSCO'S Geometry. New York - Rye High School

160 Congruence of Line Segments,Angles, and TrianglesExercisesWriting About Mathematics1. Each of two telephone poles is perpendicular to the ground and braced by a wire thatextends from the top of the pole to a point on the level ground 5 feet from the foot of thepole. The wires used to brace the poles are of unequal lengths. Is it possible for the telephonepoles to be of equal height? Explain your answer.2. Is the following statement true? If two triangles are not congruent, then each pair of correspondingsides and each pair of corresponding angles are not congruent. Justify youranswer.Developing SkillsIn 3–8, pairs of line segments marked with the same number of strokes are congruent. Pairs of anglesmarked with the same number of arcs are congruent. A line segment or an angle marked with an“” is congruent to itself by the reflexive property of congruence.In each case, is the given information sufficient to prove congruent triangles using SAS?3. BF4. B5.DCACDEADCAB6. C7. C F8.AADBBECAB DEDIn 9–11, two sides or a side and an angle are marked to indicate that they are congruent. Name thepair of corresponding sides or corresponding angles that would have to be proved congruent inorder to prove the triangles congruent by SAS.9. DB10. C11. ABEACADBEDC