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Track Meet: Results Board Layouts worksheet preview

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Track Meet: Results Board Layouts

Use coordinate diagrams and placement plans to describe rigid-motion sequences and justify congruence on a track meet results board.

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
  • 13 questions
  • Classroom-ready

Details

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

About this worksheet

What students practice

  • Students describe sequences of translations, rotations, and reflections that map congruent figures.
  • Students use corresponding vertices, lengths, and angles to verify congruence.
  • Students explain why reversible rigid-motion sequences establish congruence.

How to use

Use after introducing rigid motions. Have students mark intermediate images on scratch paper, then discuss what evidence establishes congruence.

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

Track Meet: Results Board Layouts

Use rigid motions to verify and describe matching outlines.

Check the Board Outlines

The track meet results board uses movable event labels. Consider only their outlines, not their printed text. All coordinates are in grid units.

1.
The long-jump label has outline ABCD, with sides AB, BC, CD, and DA. Rotate the entire outline 180° about the origin, then translate it 1 unit right. Find the final position of C.−5−4−3−2−1123450−5−4−3−2−112345ABCD

C′ = ( ,  )

2.
A rigid-motion sequence maps a relay label ABCD onto a new outline with A → R, B → S, C → P, and D → Q. Select every equality guaranteed by this correspondence.

AB = RSBC = PQ∠BCD = ∠SPQAC = RP∠DAB = ∠RQS

3.
To place the high-jump label, first translate triangle ABC 6 units right and 5 units up. Which second motion maps A → D(1, 2), B → E(1, 5), and C → F(−1, 3)?−6−5−4−3−2−11234560−6−5−4−3−2−1123456ABC
  • A. Rotate 90° counterclockwise about (1, 2).
  • B. Rotate 90° counterclockwise about the origin.
  • C. Rotate 180° about (1, 2).
  • D. Rotate 90° clockwise about (1, 2).

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