Question

polygon b is a scaled copy of polygon a. what is the missing length of the side marked with a ? in polygon b?
diagrams of polygons a and b: polygon a has sides 2.5, 1.5, 2.5; polygon b has a side 5 and a missing side marked ?
polygons a and b
options:
a 5
b 3
c 2
d 4

Explanation:

Step1: Find the scale factor

Since Polygon B is a scaled copy of Polygon A, we can find the scale factor by comparing corresponding sides. The top side of A is 2.5 and the top side of B is 5. So the scale factor \( k = \frac{5}{2.5} = 2 \).

Step2: Calculate the missing side

The corresponding side in Polygon A is 1.5. To find the missing side in Polygon B, we multiply the length of the corresponding side in A by the scale factor. So the missing length \( = 1.5 \times 2 = 3 \).

Answer:

B. 3