A copy of square ABCD is rotated clockwise about vertex A to square A’B’C’D’ such that D’B’C is a straight line segment, as shown below. What is the measure of angle D’ED?

Quadrilateral ABCD has AD = BC, ∠A + ∠B = 90°, AB = 20, CD = 10, as shown below.

What is the area of ABCD?

Suppose ABCD is an isosceles trapezoid with bases AB and CD and sides AD and BC such that |CD| > |AB|. Also suppose that |CD| = |AC| and that the altitude of the trapezoid is equal to |AB|

If |AB|/|CD| = a/b where a and b are positive coprime integers, then find a^b?

In the following diagram if AB=BC and CD=DE, find the value of Angle GCF?

In square ABCD, circle P is tangent to the square and the quarter circle centered at A. If CE is tangent to circle P, what is the measure of ∠ECD?

If ABCD is a square of area 1. E, F are mid points of AB and BC respectively. What is the area of blue region?