Question

The mid-points of the sides of a triangle are joined together to get four triangles. These four triangles are ______.

Options

• not equal to each other.

• congruent to each other.

• not congruent to each other.

• none of these

Answer 1

The mid-points of the sides of a triangle are joined together to get four triangles. These four triangles are congruent to each other.

Explanation:

By joining the midpoints of the sides of a triangle, the original triangle is divided into four smaller triangles whose sides are respectively equal to half the sides of the original triangle. By the SSS (Side-Side-Side) congruence criterion, all four of these resulting triangles are congruent to one another.