Question

Quadrilateral GZVH can be mapped onto quadrilateral DICX by a reflection. If

ZV=20, find IC.
IC
a. can
b. cannot
be determined.

Answer 1

IC cannot be determined

Explanation:

It is not possible to determine the value of IC without additional information. In order to find IC, we need to know the positions and lengths of the other sides of the quadrilaterals GZVH and DICX. Simply knowing that GZVH can be mapped onto DICX by a reflection is not enough information to find IC. Therefore, the answer is that IC cannot be determined.

Answer 2

• a) can

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If the two figures can be mapped by a reflection it means corresponding sides overlap and hence are congruent.

Sides can be determined by the order of vertices in the names of the figures.

In the given problem ZV and IC are congruent:

• ZV = IC = 20

Hence the answer is a) can.