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Coding Camp: Proof Progress Tracker

Explain an altitude-and-similarity proof of the Pythagorean Theorem and review a converse proof in a coding camp project.

Grade 8MathInteractive · Printable

Aligned to8.G.B.6

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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, Circle the answer, Short answer

About this worksheet

What students practice

Students explain how similar triangles establish the Pythagorean Theorem.
Students justify the converse using a constructed right triangle and SSS congruence.
Students distinguish proof from numerical testing in a geometry-checking project.

How to use

Use after studying triangle similarity. Have students connect the plotted points as directed, then review the project's proof and testing milestones.

Curriculum

Common Core standard covered

8.G.B.6

Explain a proof of the Pythagorean Theorem and of its converse.

Preview

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Coding Camp: Proof Progress Tracker

Review the reasoning behind a geometry-checking feature.

Milestone 1: Build the Theorem Proof

A coding camp team is building a feature that checks triangular progress icons. Before writing the checks, the team must justify the mathematics. Use the construction and the stated similarities.

Connect A to B, B to C, and C to A. Then connect C to D. Triangle ABC is right at C. Segment CD is perpendicular to hypotenuse AB, with D between A and B. Let BC = a, AC = b, AB = c, AD = p, and DB = q. Thus p + q = c. The plotted points illustrate the construction; the proof uses arbitrary positive lengths, not measured coordinates.