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Back to Parallel lines are taken to parallel lines — Problem 5 · Task Set 21

Exercises: Rigid Motions Preserve Parallelism

Work through each section in order. Two lines are parallel when they have the same slope (or are both vertical). For each transformation, find the slopes of the image lines and check whether they stay equal.

Grade 8·20 problems·~30 min·Common Core Math - Grade 8·standard·8-g-a-1c
Work through problems with immediate feedback
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Fluency Practice

1.

The parallel lines y=−x+4y = -x + 4 and y=−x−2y = -x - 2 are rotated 90°90\degree counterclockwise about the origin. After the rotation, what is the slope shared by both image lines?