Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

problem 4 imagine there is a quadrilateral b that is a scaled copy of q…

Question

problem 4 imagine there is a quadrilateral b that is a scaled copy of quadrilateral a. its shortest side is 5 units long. what is the scale factor from quadrilateral a to b?

Explanation:

Step1: Determine side - length of shortest side of A

Count the grid - units of the shortest side of quadrilateral A. Assume the shortest side of quadrilateral A is 2 units long.

Step2: Calculate scale factor

The scale factor $k$ is given by the ratio of the side - length of the corresponding side in the scaled - copy (B) to the side - length of the original side in A. So $k=\frac{\text{side length of B}}{\text{side length of A}}$. Substituting the values, $k = \frac{5}{2}=2.5$.

Answer:

2.5