Question

1. prove the two shapes are similar by describing a sequence of transformations to go from figure abc to figure a b c.

Explanation:

Step1: Rotate figure ABC

Rotate figure \(ABC\) \(90^{\circ}\) counter - clockwise about the origin.

Step2: Dilate the rotated figure

Dilate the rotated figure with a scale factor of \(\frac{1}{2}\).

Step3: Reflect the dilated figure

Reflect the dilated figure over the \(x\) - axis.

Answer:

By performing a \(90^{\circ}\) counter - clockwise rotation about the origin, a dilation with scale factor \(\frac{1}{2}\), and a reflection over the \(x\) - axis on figure \(ABC\), we get figure \(A'B'C'\), thus proving the two shapes are similar.