Back to Parallel lines are taken to parallel lines — Problem 1 · 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

Two parallel lines and their translated images, all four lines at the same steepness
1.

The parallel lines y=2x+1y = 2x + 1 and y=2x3y = 2x - 3 are translated by the vector (4,1)(4, 1). What is the slope of each image line?