Chapter 14.5, Problem 17WE

To determine

To choose the correct answer.

Answer to Problem 17WE

A) Reflection, B) Rotation and C) Dilation

Explanation of Solution

Given information:

The given statement is:

“If A’, B’, C’, and D’ are images of any four points A, B, C and D, then we say the ratio of distances is invariant under the transformation if $\frac{AB}{CD}=\frac{A\text{'}B\text{'}}{C\text{'}D\text{'}}$ . For which of the following transformations is the ratio of distance invariant?”

A) Reflection

B) Rotation

C) Dilation

The ratio of the distance is invariant for reflection, rotation and dilation.

Hence, all of them are correct answers.