Problems on Congruent Triangles

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Prove that AP = BQ (see the figure).

and AQ = BP

AP = BQ

In the figure, AD bisects BE, prove that

(i)

(ii) AB = DE

BC = CE and

(i)

(ii) AB = DE

Equilateral and are drawn on the sides of a

Prove that CD = BE.

ABC is a triangle. ABD and ACE are equilateral

CD = BE

Join BE and CD.