Congruent Triangles(2)


Problem

For triangle ABC, AB is equal to AC and the angle CAB is 90 degrees. Take a point P on side AB. Then set Q on the line AC so that AP=AQ. Set point S as the intersection of line CP and BQ.
Prove that triangle CAP and BAQ are congruent.

How to use the appllet.

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

Applet

Drag the red point.