Question

type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar.
pyramid abcd is similar to pyramid wxyz. the perimeter of triangle bcd is 16, and the perimeter of triangle xyz is 32. what is the scale factor to dilate abcd to wxyz?
the scale factor is .

Explanation:

Step1: Recall scale factor for similar figures

For similar figures, the scale factor of dilation from figure A to figure B is the ratio of a corresponding linear measurement (like perimeter) of B to A.

Step2: Identify perimeters

Perimeter of triangle BCD (from pyramid ABCD) is 16. Perimeter of triangle XYZ (from pyramid WXYZ) is 32.

Step3: Calculate scale factor

Scale factor = Perimeter of WXYZ's triangle / Perimeter of ABCD's triangle = $\frac{32}{16}$ = 2.

Answer:

2