Chapter 12.4, Problem 17E

To determine

To draw: The image of the rectangle after the given translation.

Answer to Problem 17E

The image after translation will be as follows:

  $A\text{'}B\text{'}C\text{'}D\text{'}$ is the image.

Explanation of Solution

Given information:

The following rectangle:

To make the translation $2$ units down, subtract $2$ from $y$ coordinate. Plot the given figure anywhere on the graph. Assume the vertices to be $ABCD$ . Assume the coordinates as:

$A(1,1),B(4,1),C(4,3),D(1,3)$

( $AB$ and $CD$ should be of $4$ units. $BC$ and $AD$ should be of $2$ units)

To make translation subtract $2$ units from $y$ coordinates of the above given vertices. The vertices of the image will be:

$A\text{'}(1,-1),B\text{'}(4,-1),C\text{'}(4,1),D\text{'}(1,1)$

The image after translation will be as follows:

  $ABCD$ is the original figure.

  $A\text{'}B\text{'}C\text{'}D\text{'}$ is the image.