B Given: ABCD is an isosceles trapezoid.
Prove: AAEB - ADEC
Reasons
1. Glven
Statements
1. ABCD is an isosceles trapezoid
2. ABDC
2
3
3
4. Reflexive Property
4
5.
5
6.
6.
7
7. Vertical Angles
8. MERADEC
8
:: ZBAE / ZCDB
!! CPCTC
!! AAS
SAS
1 SSS
H ZAEB O ZDEC
:: ΔΑΒC ΔDCB
:: Isos. Trap => base angles
1 BC BC
1. Isos. Trap legs
Isos. Trap - diagonals
!! ZABC A ZDOB
HAC 9 BD