1 Let Ro be the rotation of ZPQR counterclockwise around a p

(1) Let Ro be the rotation of |ZPQR counterclockwise around a point O of a plane and let Rr be the reflection across the x-axis. Describe a reflection R of the plane so that the composition Ro Rx maps ABC to Ro(AABC) in Figure 1. 10 -2

Solution

Rotate angle PQR such that PQ is parallel to AB.

Reflection of angle PQR about its axis passing through R and cutting the Base PQ at its midpoint, will give us the pre image of triangle ABC about an axis which is parallel and equidistant to the bases of the triangle PQR & ABC.