Proofs Level 1
Segment Addition Postulate
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Question 2:
Given: AC = BD
Prove: AB = CD
STATEMENT
REASON
1.
Subtraction Property of Equality
Substitution
Segment Addition Postulate
AC = BD
AB = CD
1.Given
2.AB + BC = AC
Segment Addition Postulate
3.BC + CD = BD
3.
Subtraction Property of Equality
Substitution
Segment Addition Postulate
AC = BD
AB = CD
4. AB + BC = BC + CD
4.
Subtraction Property of Equality
Substitution
Segment Addition Postulate
AC = BD
AB = CD
5. BC = BC
5. Reflexive Property of Equality
6. AB = CD
6.
Subtraction Property of Equality
Substitution
Segment Addition Postulate
AC = BD
AB = CD
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