Prove that if the areas of two similar triangles are equal, then they are congruent

Prove that the ratio of areas of two similar triangles is equal to the square of the ratio of their corresponding medians.

The sides of two similar triangles are in the ratio 2 : 3 , then their areas are in the ratio …………

The sides of two similar triangles are 4 : 9 . What is the ratio of their area?

If a triangle and a parallelogram lie on the same base and between the same parallels, then prove that the area of the triangle is equal to half of the area of parallelogram.

Prove that the area of the equilateral triangle described on the side of a square is half the area of the equilateral triangles described on its diagonal.

Prove that set of similar triangles, 'is similar to' is an equivalence relation

The ratio of the areas of two triangles with equal height is 3 : 2 . The base of the larger triangle is 18 cm . Find the corresponding base of the smaller triangle.

Prove that twice the area of a parallelogram is equal in the area of another parallelogram formed by taking as its adjacent sides of the diagonals of the former parallelogram.

All similar triangles are congruent - True/False