Two-Column Proofs Worksheet

Practice constructing two-column proofs in geometry, identifying given statements, theorems, postulates, and definitions.

Grade 10 Math GeometryTwo-column Proofs

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Includes

3 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSG.CO.C.9CCSS.MATH.CONTENT.HSG.CO.C.10CCSS.MATH.CONTENT.HSG.CO.C.11

Topics

GeometryProofsTwo-columnHigh School Math

8 sections · Free to use · Printable

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Two-Column Proofs Practice

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Read each problem carefully and complete the two-column proof. State your reasons clearly, using definitions, postulates, theorems, or given information.

1. Given: AB = 10, BC = 5, A, B, C are collinear. Prove: AC = 15

Statements

Reasons

2. Given: m∠AOC = m∠BOD. Prove: m∠AOB = m∠COD

Statements

Reasons

3. Which of the following is NOT a valid reason in a two-column proof?

Definition

Postulate

Intuition

Theorem

4. The first statement in a two-column proof is usually the .

5. A is a statement that is accepted as true without proof.

6. Every statement in a two-column proof must have a corresponding reason.

True

False

7. Given: M is the midpoint of AB. Prove: AM ≅ MB

Statements

Reasons