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Swim Practice: Chart Fit Checks

Use coordinate diagrams and rigid-motion sequences to test congruence while arranging a swimming team's lap and practice-time charts.

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, Short answer, Drawing

About this worksheet

What students practice

Students verify congruence by identifying rotations, reflections, and translations between figures.
Students describe and complete rigid-motion sequences using corresponding vertices.
Students explain why equal area alone does not establish congruence.

How to use

Use after introducing rigid motions. Students can trace the card outlines to test sequences, then justify the final congruence decision using corresponding side lengths.

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.

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Swim Practice: Chart Fit Checks

Use rigid motions to arrange matching lap and practice-time cards.

Match the Chart Outlines

The swim team uses shaped cards to label practice times and lap goals. Coordinates describe card positions on a layout grid, not actual times or laps. Match corresponding vertices in the stated order.

A lap-goal card has the triangular outline ABC shown. Its matching slot has vertices D(−2, −4), E(−2, −1), and F(0, −4). Which motion maps A → D, B → E, and C → F?

A. Rotate the card 90° clockwise about the origin.
B. Reflect the card across the line y = x.
C. Reflect the card across the x-axis.
D. Reflect the card across the y-axis.

A practice-time card is reflected across the x-axis and then translated upward. The table shows corresponding vertices before and after both moves.

Practice-Time Card Placement
Vertex	Original	Final
A → D	(−3, 1)	(−3, 4)
B → E	(1, 1)	(1, 4)
C → F	(−3, 3)	(−3, 2)

How many units upward is the translation? units

The team tests three instructions for moving a lap card. Match each sequence to the single motion or result that has the same effect on every point. All rotations are about the origin.