Question

Complete the similarity statement for the similar figures. b. Find the scale factor. Write proportions and SOLVE for the missing lengths. just need help with 14 and 15

Answer 1

(a) According to the given image, the figures are similar by angle-angle-angle-angle.

(b) To find the scale factor, we just have to divide two corresponding sides.

`(LM)/(GH)=(6)/(4)=(3)/(2)=1.5`

The scale factor is 1.5.

(c) To find x and y, we just have to use the scale factor.

`\begin{gathered} x=8\cdot1.5=12 \\ y=(9)/(1.5)=6 \end{gathered}`

Observe, that we multiplied to find x because it's a side of the bigger figure. On the other hand, we divided to find y because it's a side of the smaller figure.

Hence, x = 12 and y = 6.