Question

A translation is applied to the rectangle formed by the points A(-2, 6), B(2,6), C(2, 4), and D(-2, 4). The image is the rectangle that has vertices A' (1, 6), B (5, 6). C'(5, 4) and D (1, 4) Select the phrase from the drop-down menu to correctly describe the translation. The rectangle was translated Choose. N Choose... 3 units up 3 units to the right 3 units to the left 3 units down 1 2 3 4 5 6 7 8 9 10 Finish

Answer 1

A translation is applied to the rectangle.

The coordinates of the pre-image are

A(-2, 6), B(2,6), C(2, 4), and D(-2, 4)

The coordinates of the image are

A'(1, 6), B'(5, 6), C'(5, 4) and D'(1, 4)

Notice that the y-coordinates are unchanged.

There is an addition of 3 units to the x-coordinates.

This is known as "horizontal translation to the right"

The rule for such a translation is given by

`(x,y)\rightarrow(x+c,y)`

For the given case c is 3 units.

Therefore, the rectangle was translated 3 units to the right.