Given: AC = TEM
Statements
Reasons
Prove: AB DE
1 A2 = EC
1. given
DC
A
D
2 AC +1=
1 = BE +1
+ BE = BE + C
2. addition property
3.
DC
1
2.
E
3. property of proportion
B
AD + DC BE + EC
4.
DC
EC
5. AC = AD + DC;
BC = BE + EC
4. addition of fractions
Complete the steps of the proof.
5. segment addition
postulate
6. AC = BC
6. substitution property
7. 232 23
7. reflexive property
8. ABC - ADEC
8.
Tuto
vity