Question

Two trapezoids are drawn the left one has the following measurements 10cm, 6 cm, 4 cm, and 4 cm. The right trapezoid has measurements of 8cm, 4.8cm, 3.2 cm, and 3.2cm, What scale factor is used to create the trapezoid on the right from the one on the left

Answer 1

To find the scale factor used to create the right trapezoid from the left trapezoid, you need to compare corresponding sides of the two trapezoids.

The measurements for the left trapezoid are:
- 10 cm
- 6 cm
- 4 cm
- 4 cm

The measurements for the right trapezoid are:
- 8 cm
- 4.8 cm
- 3.2 cm
- 3.2 cm

Now, we will compute the scale factor for each pair of corresponding sides:

1. For the first pair (10 cm to 8 cm):
\[
\text{Scale factor} = \frac{8 \text{ cm}}{10 \text{ cm}} = 0.8
\]

2. For the second pair (6 cm to 4.8 cm):
\[
\text{Scale factor} = \frac{4.8 \text{ cm}}{6 \text{ cm}} = 0.8
\]

3. For the third pair (4 cm to 3.2 cm):
\[
\text{Scale factor} = \frac{3.2 \text{ cm}}{4 \text{ cm}} = 0.8
\]

4. For the fourth pair (4 cm to 3.2 cm):
\[
\text{Scale factor} = \frac{3.2 \text{ cm}}{4 \text{ cm}} = 0.8
\]

Since all corresponding sides have the same scale factor of 0.8, we conclude that the scale factor used to create the trapezoid on the right from the one on the left is:

\[
\text{Scale factor} = 0.8
\]