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Ski Resort: Map and Snowfall Overlay Checks

Test rotations, reflections, and translations using ski lift maps and snowfall chart graphics, with tracing and measurement evidence.

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
13 questions
Classroom-ready

Details

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

About this worksheet

What students practice

Students test whether translations, reflections, and rotations preserve straight lines.
Students compare original and image segment lengths using grids, tracing, and measurement.

How to use

Provide tracing paper, a ruler, and scratch graph paper. Have students perform the stated moves before recording their observations; discuss what each test does and does not establish.

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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Name Date

Ski Resort: Map and Snowfall Overlay Checks

Test straightness and segment length when resort graphics move.

Lift Map Experiments

Map units describe the printed design, not actual ski distances. Use tracing paper and a straightedge. A prime mark (′) names an image point.

A straight lift line passes through A, B, and C and continues forever in both directions. Trace the line and its marks. Reflect the tracing across the y-axis. Which observation describes the experiment?

A. The image line bends where it crosses the mirror.
B. The image line shifts one unit above the original.
C. The image line overlaps the original, but the marks move.
D. The image line becomes vertical through the origin.

Use the map in Question 1. Mark the distance from A to C on a paper strip. Reflect the tracing across the y-axis and compare A′C′ with the strip.

What is the length of A′C′? map units

In the reflection from Question 1, which observations should occur? Select all that apply.

B′ remains between A′ and C′.The left-to-right order of the labeled marks reverses.A′B′ becomes longer than AB.A′, B′, and C′ fit along one straightedge.

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