For any segments and if then Segment Lengths AB CD, AB = CD, CD = AB. For any angles and if , then . A B, Angle Measures Transitive Properties of Equality For any real numbers and if and then a, b, c, a = b b = c, a = c. Real Numbers For any segments and if and AB, CD, EF, AB = CD CD = EF, Segment Lengths then AB = EF. For any angles and if and , then . Angle Measures A, B, C, Show: Solve Write a reason for each step. Ex 1: Steps Reasons Given Distributive Prop. Simplify (by combining like terms) Subtr. Prop. of Eq. Division Prop. of Eq. Solve Write a reason for each step. Try it: Ex 2: Steps Reasons Given Distributive Prop. Simplify Multiplication Prop. of Eq. Subtr. Prop of Eq. Add. Prop. of Eq.
Segment Lengths For any segments AB and CD, if AB = CD, then CD = AB. Angle Measures For any angles A and B, if , then . Transitive Properties of Equality Real Numbers For any real numbers a, b, and c, if a = b and b = c, then a = c. Segment Lengths For any segments AB, CD, and EF, if AB = CD and CD = EF, then AB = EF. Angle Measures For any angles A, B, and C, if and , then . Show: Ex 1: Solve Write a reason for each step. Steps Reasons Given Distributive Prop. Simplify (by combining like terms) Subtr. Prop. of Eq. Division Prop. of Eq. Try it: Ex 2: Solve Write a reason for each step. Steps Reasons Given Distributive Prop. Simplify Multiplication Prop. of Eq. Subtr. Prop of Eq. Add. Prop. of Eq.