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Space Camp: Mission Geometry

Apply the Pythagorean Theorem to space-camp simulations, including missing legs, diagonal distances, and three-dimensional positions.

Grade 8MathInteractive · Printable

Aligned to8.G.B.7

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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, Circle the answer, Short answer

About this worksheet

What students practice

Students find unknown legs and hypotenuses in two-dimensional right-triangle problems.
Students use the Pythagorean Theorem to find and evaluate distances in three dimensions.
Students explain whether simulated measurements are consistent with a right-triangle model.

How to use

Use after introducing the Pythagorean Theorem. Allow calculators, but ask students to write an equation before calculating each unknown length.

Curriculum

Common Core standard covered

8.G.B.7

Use the Pythagorean Theorem to find unknown side lengths of right triangles in real-world and math problems in 2-D and 3-D.

Preview

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Name Date

Space Camp: Mission Geometry

Use right triangles to check distances in a mission simulation.

Navigation Checks

All measurements describe the space-camp simulation, not actual space travel. Use a² + b² = c². Give exact answers unless rounding is requested.

On a level docking deck, a robot moves 20 m forward and then 21 m right. The two movements are perpendicular. How far is its final position from its starting point?

A. 21 m
B. 29 m
C. 841 m
D. 41 m

The navigation display shows a probe at P and a docking target at T. Each coordinate unit represents 1 m.

What is the straight-line distance from P to T? m

A straight tether joins two markers on a level training floor. The tether is 26 m long. The markers are separated by 24 m in the east–west direction and an unknown distance in the perpendicular north–south direction.

Find their north–south separation. m

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