Question

Paolo was asked to find the original dimension of an enlarged pentagon. His solution is shown next to the pentagons.

Write a proportion.
Cross multiply.

Solve for x.
Not drawn to scale




What error did Paolo make in his solution?
Paolo set up an incorrect proportion.
Paolo made an error when he cross multiplied the proportion.
Paolo divided incorrectly when he solved for x.
Paolo multiplied instead of divided when he solved for x.

Answer 1

B

Explanation:

Answer 2

Paolo made an error when he cross multiplied the proportion

Explanation:

The picture of the question in the attached figure

we know that

A dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

In this problem the figures are similar

so

using proportion

`(3)/(12)=(x)/(8)`

solve for x

Multiply in cross

`(3)(8)=(12)(x)\\24=12x\\x=2`

therefore

Paolo made an error when he cross multiplied the proportion