Two-Column Proofs Worksheet
This worksheet provides practice with constructing two-column proofs for geometric theorems at a Grade 11 level, covering postulates, definitions, and theorems.
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Two-Column Proofs Practice
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Follow the instructions for each section. For two-column proofs, write your statements and reasons in the provided space.
1. Given that M is the midpoint of segment AB, prove that AM = MB. (Draw a diagram first)
Statement
Reason
2. Given that ray BD bisects angle ABC, prove that m∠ABD = m∠DBC. (Draw a diagram first)
Statement
Reason
3. Given that ∠1 and ∠2 are supplementary, and ∠2 and ∠3 are supplementary, prove that ∠1 ≅ ∠3.
Statement
Reason
4. Which of the following is a valid reason in a two-column proof?
My teacher said so
It looks correct
Definition of perpendicular lines
Common sense
5. A two-column proof consists of two columns: one for and one for .