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If ABCDE ≅ LMNPQ, then how many pairs of corresponding parts are in the figures?

User Nsx
by
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2 Answers

1 vote
there are 10.

A-L
B-M
C-N
D-P
E-Q
Angle A-Angle L
Angle B-Angle M
Angle C-Angle N
Angle D-Angle P
Angle E-Angle Q
User Vlad Rusu
by
5.6k points
2 votes

Answer: 10

Explanation:

Given: ABCDE ≅ LMNPQ

We know that if any two polygons are congruent then their corresponding sides and angles are congruent.

Since, the given polygons' name has 5 letters, therefore they must have 5 vertices i.e. 5 angles (∠A≅∠L, ∠B≅∠M, ∠C≅∠N, ∠D≅∠P, ∠E≅∠Q) and 5 sides (AB=LM, BC=MN, CD=NP, DE=PQ, AE=LQ )

Therefore, the number of pairs of corresponding parts are in the figures=5+5=10

User Chrysillo
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6.3k points