Two Squares(1)



Problem

In the right figure ,ABCD and AEFG are squares.

(1) The angle BAG=a . Find angle DAG .

(2) Find the triangle which is congruent with the triangle AGD .

(3) Find the side whose length is equal to DG.


Applet

How to use this applet.


1. Drag the red point on the corner of the small square to move it .
2. Press "Define" button to go to next step .
3. Check the radio buttons to select the center point of the rotation .
4. Drag the red point of the triangle to rotate it .
5. Drag the red point on the center of the large square to move whole figure .
Drag red point