Question

Rashaan draws these two trapezoids with the dimensions labeled in centimeters. What scale factor does he use to create the trapezoid on the right from the one on the left?

a. 0.8
b. 2
c. 1.25
d. 0.48

Answer 1

The scale factor from the trapezoid on the left to the trapezoid on the right is 1.25.

Step-by-step explanation:

To find the scale factor from the trapezoid on the left to the trapezoid on the right, we need to compare the corresponding sides. Let's compare the bases of the trapezoids: the left trapezoid has a base length of 8 cm, while the right trapezoid has a base length of 10 cm. The scale factor is the ratio of the corresponding side lengths, so the scale factor is 10 cm / 8 cm = 1.25.

Answer 2

The scale factor is 2. So the answer is b. 2.

To find the scale factor, we need to compare the corresponding side lengths of the two trapezoids.

Let's consider the bases and heights:

Base 1: 4 cm (left)

Base 2: 8 cm (right)

Height 1: 3 cm (left)

Height 2: 6 cm (right)

We can see that both bases and heights of the right trapezoid are twice the size of their counterparts in the left trapezoid. Therefore, the scale factor is 2.

So the answer is b. 2.

Option a (0.8) and c (1.25) are too small, and option d (0.48) is too large. Remember, the scale factor represents the multiplier used to go from the smaller figure to the larger one.