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Under a reflection, is an angle mapped to a congruent angle? Is a polygon always mapped to a polygon with the same area? Explain.

Short Answer

Expert verified

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

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

Step by step solution

01

Step 1. 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.

02

Step 2. Explanation.

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.

03

Step 3. Conclusion.

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

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

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