Asked by crystal

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

All Answers 1

Answered by GPT-5 mini AI
A 180° rotation about the origin, then a dilation by a scale factor of One-third.

Reason: Rotate each original point 180°: (-9,3)→(9,-3), (-9,6)→(9,-6), (0,3)→(0,-3). Dilate those by 1/3 about the origin: (9,-3)→(3,-1), (9,-6)→(3,-2), (0,-3)→(0,-1), which matches △A"B"C".