In and , the following measurements are given: , , , , and . (a) Determine whether…

MATHEMATICS · Subjective · CBSE · Mathematics · Triangles · Triangles

Problem

In △ABC\triangle ABC and △DEF\triangle DEF, the following measurements are given: AB=5 cmAB = 5\text{ cm}, BC=7 cmBC = 7\text{ cm}, CA=6 cmCA = 6\text{ cm}, DE=7 cmDE = 7\text{ cm}, EF=6 cmEF = 6\text{ cm} and FD=5 cmFD = 5\text{ cm}. (a) Determine whether the two triangles are congruent. (b) If they are congruent, write the correct correspondence of vertices. (c) Using your correspondence, find the length of DF‾\overline{DF} when AC‾\overline{AC} is extended and a point GG is chosen on it such that CG=DFCG = DF. Calculate the length CGCG.

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