Proving the Parallelogram Diagonal Theorem Angles Segments Triangles Statements Reasons
Given: ABCD is a parallelogram.
Diagonals AC, BD intersect at E.
Prove: AE = CE and BE DE
ASA
CPCTC
B.
С
given
parallelogram side theorem
Reasons
1. given
2. def. of alt, interior angles
E
Statements
✓ 1. ABCD is a parallelogram
✓ 2. ZABE and ZCDE
are alt, interior angles
✓ 3. ZBAE and ZDCE
are alt. interior angles
✓ 4. AB || CD
✓ 5. ZABEZCDE
✓ 6. ZBAE = ZDCE
3. def. of alt, interior angles
A
D
4. def. of parallelogram
5. alternate interior angles theorem
6. alternate interior angles theorem
Correctl Assemble the next
statement.
) Intro