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Hiking Maps: Triangle Route Design

Construct hiking-map triangles and use side and angle conditions to decide whether plans determine one, many, or no triangles.

Grade 7MathInteractive · Printable

Aligned to7.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 7
Subject: Math
Question types: Fill in the blank, Multiple choice, Circle the answer, Sorting, Short answer, Drawing

About this worksheet

What students practice

Students draw triangles that satisfy given side lengths or angle conditions.
Students determine whether given conditions produce one, many, or no triangles.
Students justify triangle feasibility using angle sums and the triangle inequality.

How to use

Provide a ruler, compass, and protractor. Have students complete the construction tasks on paper, then compare the conditions that fix a triangle's size and shape.

Curriculum

Common Core standard covered

7.G.A.2

Draw shapes from given conditions, especially triangles from three angles or sides, and tell if there is one, many, or no triangle.

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Name Date

Hiking Maps: Triangle Route Design

Construct triangles and decide which trail plans are possible.

Check the Map Plans

Treat map routes as straight segments on a flat map. One triangle means one size and shape; rotated or reflected copies count as the same triangle. Many triangles means more than one size or shape.

A hiking group plans a triangular route between three checkpoints. The map distances are 2.5 km, 3.5 km, and 7 km. What do these conditions determine?