Question

Quadrilateral ABCD is an Isosceles Trapezoid. Which angle is congruent to Angle C?

Answer 1

Answer: Angle D

The base angles C and D are congruent because this is an isosceles trapezoid. In addition, angle A = angle B because this is another pair of base angles (imagine rotating the figure 180 degrees to make segment AB the base)

Answer 2

The reason why any angles coming out from D and C are congruents is because of the geometry coungruence's concept of 2 items having the same pattern, shape or form and size as the mirror image of the other.

2 angles would be congruent by being the same angle in degrees or radians.

Thereby any angle coming out from C as vertex would be congruent with any other vertex point angle mirroring the resulting figure shaped by the radiants or degrees of such angle.

Explanation: