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Given: ABCD is a parallelogram.
Diagonals AC, BD intersect at E.
Prove: AE CE and BE DE
B
C
A
E
D
Angles Segments Triangles Statements Reasons
R
ABAE
ABCE
ADAE
ADCE
Statements
1. ZABE and CDE
are alt. interior angles
2. ABCD is a parallelogram
Reasons
1. def. of alt. interior angles
2. given

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Given ABCD is a parallelogram Diagonals AC BD intersect at E Prove AE CE and BE DE B C A E D Angles Segments Triangles Statements Reasons R ABAE ABCE ADAE ADCE class=

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