Question

problem 12 figure b is a scaled copy of figure a. which lengths could go into the boxes to make figure b a scale copy of figure a. 3.75 and 15 3 and 15 6 and 18.75 9 and 24

Explanation:

Step1: Find the scale - factor

The scale - factor from figure A to figure B can be found by comparing corresponding sides. Let's use the side of length 2.5 in figure A and 6.25 in figure B. The scale - factor $k=\frac{6.25}{2.5}=2.5$.

Step2: Check each option

For the vertical side of length 1.5 in figure A, the corresponding side in figure B should be $1.5\times2.5 = 3.75$. For the side of length 6 in figure A, the corresponding side in figure B should be $6\times2.5=15$.

Answer:

3.75 and 15