Question 4
Given: AB CD
Prove: AC
BD
A
Complete the proof.
Statements
1. AB
CD
2. AB CD
B
3. AB + BC = BC + CD
4.
AB + BC = AC, BC
+CD= BD
5. AC BD
6. AC
BD
=
C
Reasons
1. Given
2. Definition of congruence
3.
Addition Property of Equality
4.
Segment Addition Postulate
5. Substitution
6. Definition of congruence
B