Chapter 4, Problem 12CR

To determine

Complete the statement “If $\Delta REV$ is an equiangular triangle, then $\Delta REV$ is also a(n) ___triangle”.

Answer to Problem 12CR

The complete statement is “If $\Delta REV$ is an equiangular triangle, then $\Delta REV$ is also an equilateral triangle”.

Explanation of Solution

Given:

The given figure is,

  

As from the given statement, $\Delta REV$ is an equiangular triangle.

It means all the angles of the $\Delta REV$ are equal.

This condition is same for an equilateral triangle in which all the angles are equal to 60 degrees.

So,

The $\Delta REV$ is also an equilateral triangle. It is also a corollary.

Therefore, the complete statement is “If $\Delta REV$ is an equiangular triangle, then $\Delta REV$ is also an equilateral triangle”.