Question

polygon q is a scaled copy of polygon p.

a. the value of z is 6, what is the value of y?

type your answer in the box.

y = units

b. what is the scale factor?

type your answer in the box.

Explanation:

Step1: Find the scale factor

Since Polygon \(Q\) is a scaled copy of Polygon \(P\), the ratio of corresponding sides is the scale factor. The corresponding sides are \(4\) (in \(P\)) and \(3\) (in \(Q\)). The scale factor \(k=\frac{3}{4}\).

Step2: Calculate \(y\)

Given \(x = 6\) (a side of \(P\)), and using the scale - factor formula \(y=kx\). Substitute \(k=\frac{3}{4}\) and \(x = 6\) into the formula: \(y=\frac{3}{4}\times6=\frac{18}{4}=\frac{9}{2}=4.5\)

Answer:

a. \(y = 4.5\) units
b. The scale factor is \(\frac{3}{4}\)