Chapter 14.5, Problem 16CE

To determine

To explain how corollary 1 follows from Theorem 14-5.

Answer to Problem 16CE

Theorem 14-5 states that a dilation maps a triangle to a similar angle.

Corollary 1 states that a dilation maps an angle to a congruent angle.

If a triangle is similar, its angles are also same, the sides can be of different lengths.

Hence, corollary 1 follows from theorem 14-5.

Explanation of Solution

Given information:

The given statement is:

“Explain how corollary 1 follows from Theorem 14-5.”

Theorem 14-5 states that a dilation maps a triangle to a similar angle.

Corollary 1 states that a dilation maps an angle to a congruent angle.

If a triangle is similar, its angles are also same, the sides can be of different lengths.

Hence, corollary 1 follows from theorem 14-5.