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Given: AD BC and ZBCD
ZADC
Prove: DE CE
D
Demo
B
Angles Segments Triangles Statements Reasons
AAS
CPCTC
Statements
✓1. AD BC
✓2. ZBCD ZADC
✓3. DC DC
4. AADC ABCD
✓ 5. ZDEA and ZCEB are
vertical angles
✓ 6. ZDEA ZCEB
I
SAS
given
Reasons
1. given
2. given
3. reflexive property
4. SAS
5. def. of vertical angles
6. vertical angles theorem

Given AD BC And ZBCD ZADC Prove DE CE D Demo B Angles Segments Triangles Statements Reasons AAS CPCTC Statements 1 AD BC 2 ZBCD ZADC 3 DC DC 4 AADC ABCD 5 ZDEA class=