Question

which of the following sequences of transformations maps △pqr onto △abc?

sequence a
a 180° rotation about point r, then a translation 2 units to the right and 6 units up.

sequence b
a translation 4 units to the right and 6 units up, then a reflection over the horizontal line through point a.

choose 1 answer:
a only sequence a
b only sequence b
c both

Explanation:

Step1: Analyze Sequence A

A \(180^\circ\) rotation about \(R\) flips \(\triangle PQR\) symmetrically. Then translating 2 right and 6 up aligns it with \(\triangle ABC\).

Step2: Analyze Sequence B

Translating 4 right and 6 up moves \(\triangle PQR\) close. Reflecting over the horizontal line through \(A\) (which is the base level of \(\triangle ABC\)) flips it to match \(\triangle ABC\).

Answer:

C. Both