If m 2 m 3 and m 3 m 1 then m 2 m 1 If AC AB BC then AB
If m 2 = m 3 and m 3 = m 1, then m 2 = m 1. If AC = AB + BC, then AB + BC = AC. m ABC = m ABC Items 30-37; In the diagram below AC = BD. Fill in the reasons to show CD = AB Given: AC = BD Prove: CD = AB AC = BD AC = AB + BC AB + BC = BD BD = BC + CD AB + BC = BC + CD AB = CD CD = AB CD = AB Indicate whether the statement is true or false by circling the appropriate letter. T F A theorem is a statement that can be proven using definitions, properties, postulates, and previously proven theorems. T F Unlike a theorem, a postulate is a rate that is accepted without proof.
Solution
28;- Segment addition postulate
36:- Subtraction property of equality
37:- Definition of congruent segments
38:- T
39:- T
