Question

Preston says the sequence of transformations that maps triangle ABC and triangle DEF is rotate it 180 degrees about the origin and then translate it. Chanel say the sequence of transformations that maps triangle ABC onto triangle DEF is: reflect it across the x axis then reflect it across the y-axis and then translate it up 6 units and left 1 unit .

Answer 1

Preston is correct

Step-by-step explanation

We have that triangle ABC was transformed to produce triangle DEF.

First of all, from the naming of both triangles, we see that:

A corresponds to D

B corresponds to E

C corresponds to F

That already gives us a clue of the answer.

Preston says triangle ABC was rotated at 180 degrees about the origin and then translated to form triangle DEF.

Chanel ABC is reflected across the x axis then reflected across the y-axis and then translated up 6 units and left 1 unit.

Chanel cannot be correct because by actually observing the two triangles, we see that the top of triangle DEF is upside down compared to triangle ABC.

This already tells us that the triangle was actually rotated about 180 degrees.

Since a 180 degrees rotation would make the top to become the bottom. Something like this:

Therefore, Preston is correct.