Question

Select the correct answer from each drop-down menu.

Quadrilateral ABCD is translated 7 units down and 2 units to the right.

The length of side AB of the original quadrilateral is blank
units. After the translation, the length of side AB will blank
.

Answer 1

Yess as the person on top said ^^

Answer 2

A'= (-4, -5)

B' = (-4, -2)

C' = (-1, -3)

D' = (-1, -5)

The length of side AB of the original quadrilateral is 3 units. After the translation, the length of side AB will 3 units.

Explanation:

A = (-6, 2)

B = (-6, 5)

C = (-3, 4)

D = (-2.5, 2)

Our translation rule:

(x, y)

(x + 2, y - 7)

A = (-6, 2) changes to (-6 + 2, 2 - 7) changes to (-4, -5)

B = (-6, 5) changes to (-6 + 2, 5 - 7) changes to (-4, -2)

C = (-3, 4) changes to (-3 + 2, 4 - 7) changes to (-1, -3)

D = (-2.5, 2) changes to (-2.5 + 2, 2 - 7) changes to (-0.5, -5)

Our new points:

A'= (-4, -5)

B' = (-4, -2)

C' = (-1, -3)

D' = (-1, -5)

The length of side AB of the original quadrilateral is 3 units. After the translation, the length of side AB will 3 units.

The lengths stayed the same because the shape and size of the shapes didn't change. If it was a dilation, the length of the shape would become longer or shorter.

Hope this helps!