Unit 1 Day 10 TWO COLUMN PROOFS.

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Presentation transcript:

Unit 1 Day 10 TWO COLUMN PROOFS

Statements The left column of a Two Column Proof are Statements of mathematical relationships that start with given information and conclude with the Statement being proved.

Reasons The right column of a Two Column Proof are reasons for the mathematical relationship on the same line. The reasons are based on geometric definitions, properties, and theorems. Properties of parallel lines and angles are given in the following slides.

Definition of Angle Bisector An Angle Bisector is a line that divides an Angle into two equal parts.

Transitive Property of Congruence For any angles A, B, and C, if ∠A≅∠B and ∠B≅∠C, then ∠A≅∠C . If two angles are both congruent to a third angle, then the first two angles are also congruent.

See Mr. H’s Two Column Proofs