Question

Trapezoid ABCD was dilated to create trapezoid A'B'C'D'.

On a coordinate plane, 2 trapezoids are shown. Trapezoid A B C D has points (negative 4, 0), (negative 2, 4), (2, 4) and (4, 0). Trapezoid A prime B prime C prime D prime has points (negative 2, 0), (negative 1, 2), (1, 2), and (2, 0).

Which statements are true about the trapezoids? Select three options.

The length of side AD is 8 units.
The length of side A'D' is 4 units.
The image is larger than the pre-image.
Sides CD and C'D' both have the same slope, 2.
The scale factor is One-half.

Answer 1

A,B,E

Explanation:

Answer 2

• True, True, False, False, True

Explanation:

Trapezoid ABCD was dilated to create trapezoid A'B'C'D'.

Scale factor is 1/2 according to the coordinates.

The answer options

The length of side AD is 8 units.

• AD = 4 - (-4) = 8
• True

The length of side A'D' is 4 units.

• A'D' = 2 - (-2) = 4
• True

The image is larger than the pre-image.

• False. It is 2 times smaller.

Sides CD and C'D' both have the same slope, 2.

Slopes of CD and C'D' are same: m = (0 - 4)/(4 - 2) = -4/2 = -2

• False

The scale factor is One-half.

• True