In the two pictures below, the squares are of the same size.
Prove that the green regions are of the same area.

Prove that the two triangles shown below have the same area

In the picture on the right, the angles between the radii and the chords are equal.Prove that the chords are of the same length.

In this picture the horizontal lines at the top and bottom are parallel. Prove that the yellow and red triangles are of the same area.

In this picture the horizontal lines at the top and bottom are parallel. Prove that the yellow and red triangles are of the same area.

In the picture below, the lines parallel to each side of the blue triangle through the opposite vertex are drawn to make the big triangle. How many triangles in the picture have the same area as that of the blue triangle.

In the picture below, the lines parallel to each side of the blue triangle through the opposite vertex are drawn to make the big triangle. How many triangles in the picture have the same area as that of the blue triangle? How many of them have the same measures of the blue triangle?

In the picture below, ACB is a semicircle. Find the area of the shaded portion of the figure.

Draw a square of sides 5 centimeters. Draw an right angled triangle of the same area.

In the picture below, the top vertex of a triangle is joined to the midpoint of the bottom side of the triangle and then the midpoint of this line is joined to the other two vertices. Prove that the areas of all four triangles obtained thus are equal to a fourth of the area of the whole triangle.