Congruent Triangles(1)


Problem

Triangle ABP, BCQ, CAR are equilateral triangles.
(1) Prove that ABC and PBQ are congruent.
(2) Prove that ARQP is a parallelogram.

How to use the appllet.

This applet will help you to find congruent triangles.
  1. Drag point A, and set the location of A. Then press "Define point A" button.
  2. Choose the center of rotation from A, B, and C.
  3. Drag red points. The triangle ABC will rotate arround the center point.

Applet

Drag the red point.