Question

what must the values of x and y be so that the two houses are similar? a x = 4, y = 2 b x = 12, y = 6 c x = 32, y = 26 d x = 36, y = 18

Explanation:

Step1: Set up proportion for similar - figures

For two similar figures, the ratios of corresponding sides are equal. If we assume the ratio of the bases of the two houses is the same as the ratio of the other corresponding sides. Let's assume the ratio of the bases is $\frac{30}{10}=3$.

Step2: Find the value of x

If the ratio of similarity is 3, and the corresponding side to x has length 12. Then $x = 12\times3=36$.

Step3: Find the value of y

If the ratio of similarity is 3, and the corresponding side to y has length 6. Then $y = 6\times3 = 18$.

Answer:

D. $x = 36, y = 18$