Question

describe the sequence of rigid motions that maps \\( \triangle a b c \\) onto \\( \triangle a ^ { prime } b ^ { prime } c ^ { prime } \\).

Explanation:

Step1: Rotate the triangle

Rotate \(\triangle ABC\) \(180^{\circ}\) about the origin.

Step2: Translate the triangle

Translate the rotated triangle \(3\) units up.

Answer:

First, rotate \(\triangle ABC\) \(180^{\circ}\) about the origin. Then, translate the resulting triangle \(3\) units up. This sequence of rigid motions maps \(\triangle ABC\) onto \(\triangle A'B'C'\).