Question

Polygon WXYZ is a scaled copy of polygon ABCD. The scale copy factor from ABCD to WXYZ is 3.

A. The scale factor from WXYZ to ABCD is 1/3.
B. If the area of ABCD is 12 square units, then the area of WXYZ is 36 square units.
C. Segment YZ is 7 units long.
D. The distance between W and Y is three times the distance between A and C.

Answer 1

The area of polygon WXYZ can be found by multiplying the area of polygon ABCD by the square of the scale factor, which is 9.

Step-by-step explanation:

The scale factor from ABCD to WXYZ is 3A. This means that each side length of polygon WXYZ is 3 times the corresponding side length of polygon ABCD.

Since the scale factor is 3, the area of WXYZ will be 3^2 = 9 times the area of ABCD. Therefore, if the area of ABCD is 12 square units, then the area of WXYZ will be 12 * 9 = 36 square units. So, option B is correct.

Segment YZ is not provided in the question, so we cannot determine its length. Also, the distance between W and Y being three times the distance between A and C is not implied by the given information. Therefore, options C and D are not correct.