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Fitness Tracker: Trace Layouts worksheet preview

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Fitness Tracker: Trace Layouts

Use coordinate diagrams and transformation sequences to test congruence in fitness tracker display designs.

Grade 8MathInteractive · Printable

Aligned to8.G.A.2

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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, Matching, Circle the answer, Short answer, Drawing

About this worksheet

What students practice

  • Students describe sequences of rotations, reflections, and translations that map congruent figures.
  • Students use corresponding lengths and angles to evaluate claims of congruence.
  • Students track and verify vertices through rigid-motion sequences.

How to use

Use after introducing rigid motions. Have students record intermediate coordinates on separate paper, then discuss the final congruence argument.

Curriculum

Common Core standard covered

8.G.A.2

Understand congruent figures as ones linked by rotations, reflections, and translations, and describe such a sequence.

Preview

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Name Date

Fitness Tracker: Trace Layouts

Use rigid motions to check step-log tiles and heart-rate display outlines.

Check the Screen Outlines

The tracker logs steps and heart rate. These diagrams show display outlines, not actual measurements. Coordinates are in screen-grid units.

1.
A step-log tile has outline ABCD. Its new outline has corresponding vertices A′(4, −3), B′(1, −3), C′(1, −2), and D′(4, 0). Which sequence maps every vertex to its target?−5−4−3−2−1123450−5−4−3−2−112345ABCD
  • A. Rotate 180° about the origin, then translate 1 unit down.
  • B. Reflect across the y-axis, then translate 1 unit up.
  • C. Reflect across the x-axis, then translate 1 unit down.
  • D. Reflect across the y-axis, then translate 1 unit down.
2.
A triangular heart-rate alert outline has side lengths 7, 9, and 12 grid units. The designer reflects it, translates it, and rotates it to fit another screen.

What is the perimeter of the final outline?   grid units

3.
A reflection alone moves a step-log tab to its new location. Which line is the reflection line?
Corresponding Tab Vertices
VertexOriginalImage
P → P′(−3, 0)(−3, 4)
Q → Q′(1, 0)(1, 4)
R → R′(−2, 1)(−2, 3)
  • A. The line is y = 4.
  • B. The line is y = 0.
  • C. The line is y = 2.
  • D. The line is x = 2.

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