The four triangles formed by joining the midpoints of the sides of a given triangle are equal in area: each equal to one-fourth of given triangle.

Write the type of triangle formed by joining the midpoints of the sides of an equilateral triangle.

Prove that the four triangles formed by joining in pairs, the mid-points of three sides of a triangle, are congruent to each other.

The line joining the midpoints of any two sides of a triangle is parallel to 3rd side and equal to half of it

A triangle is formed by joining the mid- points of the sides of a given triangle. This process is continued indefinitely. All such triangles formd are similar to one another. (True/False).

Find the area of the triangle formed by joining the midpoints of the sides of the triangle whose vertices are (0,1),(2,1) and (0,3). Find the ratio of this area to the area of the given triangle.