Question

Which of the following figures are similar figures?

• A. All the Circles
• B. All the Squares
• C. All the Equilateral triangles
• D. All of the above

Answer 1

The correct option is D

All of the above

All the angles in a square are ${90}^{\circ }$, so all the squares are similar by AAA similarity criterion.
All the angles in an equilateral triangle are ${60}^{\circ }$, so all the equilateral triangles are similar by AAA similarity criterion.
A circle has only one parameter which is radius (r). All the circles are always similar.

Since in the given figure, all the corresponding angles are equal and all the corresponding sides are in the same ratio (or proportion). So, these figures are similar figures.