Back to Tutor Intake Assessment: Parallel lines are taken to parallel lines

8.G.A.1.c Tutor Intake -- Rigid Motions Preserve Parallelism

This short check helps your tutor see where to start. Work on your own,
without a calculator. Do your best -- the goal is to find what to work
on together, not to grade you.

Grade 8·4 problems·~6 min·Common Core Math - Grade 8·standard·8-g-a-1c

Work through problems with immediate feedback

Concepts

Two lines are plotted on a grid after a transformation. They
appear to be parallel by eye, but you have not checked their
slopes. What is the most reliable way to confirm they are truly
parallel?

Compute and compare the slopes of both lines

Trust the visual appearance -- if they look parallel, they are

Check whether the lines are the same length

Check whether the lines are the same color on the diagram

Procedures

Lines y = 2x + 1 and y = 2x + 5 are translated by the vector
(3, -1). What is the slope of each image line? Enter a number.

Lines y = x + 2 and y = x - 1 (both with slope 1) are reflected
across the y-axis. What are the slopes of the image lines, and
are the image lines still parallel?

Both image lines have slope -1 -- still parallel (equal slopes)

Both image lines have slope 1 -- still parallel (unchanged)

The image lines have different slopes -- no longer parallel

The image lines are no longer straight lines

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