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Hiking Maps: Parallel Trail Tests

Students experiment with hiking-map overlays to check that translations, reflections, and rotations preserve parallel lines.

Grade 8MathInteractive · Printable

Aligned to8.G.A.1.c

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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 transform pairs of parallel lines using translations, reflections, and rotations.
Students use coordinates and direction changes to verify that image lines remain parallel.
Students distinguish evidence about whole lines from observations about short segments.

How to use

Provide a ruler and tracing paper. Have students plot or trace each trial, then use coordinate changes to check what they observe.

Curriculum

Common Core standard covered

8.G.A.1.c

Check by experiment that rotations, reflections, and translations move parallel lines to parallel lines.

Preview

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Hiking Maps: Parallel Trail Tests

Test how map movements affect parallel trail lines.

1. Slide a Map Overlay

A hiking group uses transparent overlays to compare straight trail sections. Each grid unit represents 100 meters horizontally or vertically on the map, not elevation. Use a ruler or tracing paper to test each movement. A line through two labeled points extends forever in both directions.

On the first overlay, line AB and line CD represent parallel trail lines. Translate the entire overlay 1 unit right and 2 units up. A prime mark (′) labels an image point.