Question

Alejandro reduced triangle A proportionally.

He made each side 1/2 as long.

Use the drop-down menus to complete the statements below.

Answer 1

Answer:

Each side of triangle A changed by a factor of 1/2.

The unknown side length in triangle B has a measure of 7.5.

Step-by-step explanation:

He made each side 1/2 as long so it changed by a factor of 1/2.  1/2 times 15 is 7.5.

Answer 2

Answer:

(1) Each side of triangle A is changed by a factor of 1/2.

(2) The unknown side length in triangle B has a measure of 7.5 units.

Step-by-step explanation:

It is given that Alejandro reduced triangle A proportionally.

It means triangle A and B are similar and their corresponding sides are proportional.

$\text{Scale factor}=\frac{\text{Side length of image}}{\text{Corresponding side length of primage}}$

From the given figure it is clear that the side of length 12 units is reduce to 6 units.

$\text{Scale factor}=\frac{6}{12}$

$\text{Scale factor}=\frac{1}{2}$

Each side of triangle A is changed by a factor of 1/2.

Let the unknown side of triangle B be x.

$\frac{x}{15}=\frac{1}{2}$

On cross multiplication we get

$2x=15$

Divide both sides by 2.

$x=7.5$

Therefore, the unknown side length in triangle B has a measure of 7.5 units.