Question

On a coordinate plane, triangle A B C has points (negative 9, 3), (negative 9, 6), (0, 3) and triangle A double-prime B double-prime C double-prime has points (3, negative 1), (3, negative 2), and (0, negative 1).

Which transformations could be performed to show that △ABC is similar to △A"B"C"?

a reflection over the x-axis, then a dilation by a scale factor of 3
a reflection over the x-axis, then a dilation by a scale factor of One-third
a 180° rotation about the origin, then a dilation by a scale factor of 3
a 180° rotation about the origin, then a dilation by a scale factor of One-third

Answer 1

a 180° rotation about the origin, then a dilation by a scale factor of One-third

Explanation:

took the test

Answer 2

Answer: D 180 degrees rotation about the origin.then a dilation by a scale factor of one-third.

Explanation:

A( -9,3) B(-9,6) C (0,3)

After a rotation of 180 degrees you will have the new points as

A (9,-3) B( 9,-6) C (0, -3)

The you after dilating it by a scale factor of 1/3

you will get the coordinates

A ( 3,-1) B( 3,-2) C(0,-1)

which match is what was given in the question.