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DG 6.2 Compositions of Reflections

Use the reflect tool to reflect ABCD over line f. Then use the reflect tool to reflect A'B'C'D' over line g. Use the distance tool to find the distance between lines g and f and the distance from A to A''.

C-55: Reflections across Parallel Lines Conjecture

A composition of two reflections across two parallel lines is equivalent to a single _____. In addition, the distance from any point to its second image under the two reflections is _____ the distance between the parallel lines.

Use the reflect tool to reflect ABC over line F, then reflect A'B'C' over line g. Use the angle measure tool to measure angle FDE and angle A"DA.

C-56: Reflections across Intersecting Lines Conjecture

A composition of two reflections across a pair of intersecting lines is equivalent to a single _____. The angle of _____ is _____ the acute angle between the pair of intersecting reflection lines.