Chapter 14.2, Problem 19CE

To determine

To explain that under a reflection, is an angle always mapped to a congruent angle and a polygon always mapped to a polygon with same area.

Answer to Problem 19CE

Yes, under a reflection an angle always mapped to a congruent angle.

Yes, a polygon is always mapped to a polygon under reflection.

Explanation of Solution

Given information:

The given statement is that under reflection is an angle always mapped to a congruent angle and a polygon always mapped to a polygon with same area.

Yes, under a reflection an angle always mapped to a congruent angle because in reflection the direction of quantities changes but not the magnitude. Hence, transformed image of an angle has same measurement therefore an angle always mapped to a congruent angle under reflection.

Yes, a polygon is always mapped to a polygon under reflection because under reflection any figure does not changes its shape and size, only changes its orientation.