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Explain why segments connecting any pair of corresponding vertices of congruent pentagons are congruent. make a sketch to support your answer.

User Bohan
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2 Answers

6 votes

Answer: ALL SEGMENTS ARE THE SAME LENGHT

Explanation:

User Parv Sharma
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5 votes

Answer:

Congruence between pentagons

Explanation:

The relationship occurs because having two congruent Pentagons and generating a segment within them (or outside), congruence is extrapolated to the triangles generated within them. Thus, if there is congruence among the pentagons, it will exist between the formed triangles. In other words since the two pentagons are congruent, the corresponding angle pair is congruent. also the two corresponding side pairs are also congruent.

In the attached image for example, the ABCDE and KLMNO pentagons are congruent, so all of their internal division lines are also congruent (AC and KM)

Explain why segments connecting any pair of corresponding vertices of congruent pentagons-example-1
User Riggs
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