Two-Column Proofs Practice
Practice worksheet for Grade 9 students on writing two-column proofs in geometry.
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Standards
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Two-Column Proofs Practice
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Read each problem carefully and complete the two-column proof. Remember to state your reasons clearly for each step.
1. Given: AB = CD Prove: AC = BD
Statements
Reasons
2. Given: ∠1 = ∠3 Prove: ∠BAD = ∠CAE
Statements
Reasons
3. The Symmetric Property of Equality states that if a = b, then b = a.
True
False
4. In a two-column proof, the 'Given' statement is always the first statement.
True
False
5. A two-column proof consists of a list of and the for each statement.
6. The Property of Equality allows you to substitute equal values into an equation or expression.
Match each property with its description.
7. Reflexive Property
a. If a = b and b = c, then a = c.
8. Transitive Property
b. A quantity is equal to itself.
9. Substitution Property
c. If a = b, then a can be replaced by b in any equation or expression.