Writing Two Column Proofs

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Objective

I can construct a two-column proof to demonstrate the validity of geometric theorems.

Part 1 of 3

Warm-up video

Mashup Math · 9:43

We don't generate video — this one is by Mashup Math on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 3

Practice

12 questions

1

Define what a two-column proof is and explain its components.

2

In a triangle, if two sides are congruent, what can you conclude about the angles opposite those sides? Explain your reasoning.

Part 3 of 3

Exit ticket

Quick comprehension check

Given that angle A is congruent to angle D and segment AB is congruent to segment DE, construct a two-column proof to show that triangle ABC is congruent to triangle DEF. Include all statements and reasons. Given that segment PQ is congruent to segment RS and angle PQR is congruent to angle SRT, construct a two-column proof to demonstrate that triangle PQR is congruent to triangle SRT. Include all statements and reasons.

Sample answer included in the free materials

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Teacher guide, student handout, and slides — free, in Google Docs format

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