Question

Bastian was able to map quadrilateral OPQROPQRO, P, Q, R onto ONMLONMLO, N, M, L using a reflection and a dilation.

Bastian concluded:

"I was able to map quadrilateral OPQROPQRO, P, Q, R onto quadrilateral ONMLONMLO, N, M, L using a sequence of rigid transformations and dilations, so the figures are similar."

What error did Bastian make in his conclusion?

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

Bastian used a reflection, so the quadrilaterals aren't similar.


(Choice B)

B

Bastian used a dilation, so the quadrilaterals aren't similar.


(Choice C)

C

There is no error. This is a correct conclusion.

Answer 1

C

Explanation:

It's right on Khan

Answer 2

C. There is no error. This is a correct conclusion.

Explanation:

Reflection is a transformation in which a given image is flipped across a reflection line to create the image. Each point of the image (e.g ONML) maintained their distance from the line as the initial object (e.g OPQR). The size of the object and image are the same after a reflection.

Dilation involve resizing the dimensions of a given object to produce an image of the same shape. It requires a scale factor to either increase or decrease the dimensions of the object.

Comparing quadrilaterals OPQR and ONML. Drawing a reflection line vertically through O, it can be observed that OPQR was first reflected. Then enlarged by a scale factor to produce ONML, thus dilation.

Therefore, there is no error in Bastian's conclusion.