Question

nc.7.g.1 3. what is the scale factor used on shape a to create shape b? a. 2 b. 1/2 c. 3/2 d. 2/3 nc.7.g.1 4. noah enlarged a rectangular photograph by a scale factor of 6. how many times as large as the area of the original?

Explanation:

3.

Step1: Select corresponding side lengths

Choose a side of Shape A and its corresponding side of Shape B. Let's assume a horizontal side of Shape A is 3 units long and the corresponding horizontal side of Shape B is 6 units long.

Step2: Calculate scale - factor

The scale factor $k$ is found by the formula $k=\frac{\text{length of side in Shape B}}{\text{length of side in Shape A}}$. So, $k = \frac{6}{3}=2$.

Step1: Recall the relationship between scale - factor and area

If the scale factor of two similar figures is $k$, the ratio of their areas is $k^{2}$.

Step2: Calculate the ratio of areas

Given that the scale factor $k = 6$. Then the ratio of the area of the enlarged photograph to the area of the original photograph is $k^{2}=6^{2}=36$.

Answer:

A. 2

4.