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Fitness Tracker: Display Motion Tests

Test translations, reflections, and rotations of fitness tracker graphics using coordinate plots, length comparisons, and experiment records.

Grade 8MathInteractive · Printable

Aligned to8.G.A.1.a

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
14 questions
Classroom-ready

Details

Format: Interactive · Printable
Grade: Grade 8
Subject: Math
Question types: Fill in the blank, Multiple choice, Sorting, Short answer, Drawing

About this worksheet

What students practice

Students test that translations, reflections, and rotations preserve segment lengths.
Students check that images of points on a line remain on a line after a rigid motion.
Students use experimental evidence to identify incorrect transformation records.

How to use

Provide a ruler, tracing paper, and extra grid paper. Have students trace or plot each trial before answering, then discuss which observations support length and line preservation.

Curriculum

Common Core standard covered

8.G.A.1.a

Check by experiment that rotations, reflections, and translations move lines to lines and segments to equal-length segments.

Preview

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Fitness Tracker: Display Motion Tests

Test whether screen motions preserve straight lines and segment lengths.

Slide and Flip Trials

A fitness tracker logs steps and heart rate. Its designers move screen graphics without resizing them. All coordinates below locate graphics on a test grid, not actual steps or heart rates. Each grid interval is 1 screen unit. Use a ruler or tracing paper to check the trials.

Segment AB is part of a step-goal marker. Trace it, then translate both endpoints 3 units right and 2 units up. Compare the original segment with its image.

What is the length of the translated segment? screen units

Which pair of endpoints records the translation in Question 1? Plot your choice to check that the segment has not stretched.

A. A′(−7, −1) and B′(−2, −1)
B. A′(−1, −1) and B′(4, −1)
C. A′(−1, −1) and B′(1, −1)
D. A′(−1, −5) and B′(4, −5)

A straight guide line aligns the heart-rate label. Three points on the line are translated 2 units left and 3 units up. Plot the image points and place a ruler through them.