Angles segments Thangles Statements Reasons Given ABCD is a parallelogram.
Diagonals AC, BD intersect at E
Prove AECE and BE DE
ASA
CPCTC
B.
С
parallelogram side theorem
alternate interior angles theorem
Reasons
1 given
2. def. of alt, interior angles
Statements
1. ABCD is a parallelogram
✓ 2 LABE and LCDE
are alt interior angles
✓ 3. ZBAE and ZDCE
are alt, interior angles
4. AB || CD
3. def. of alt. interior angles
4. def. of parallelogram
А
D

Thank you for points

Step-by-step explanation:

I'm sorry I didn't know the answer

the proof is given below

Step-by-step explanation:

diagonals AC and BD

intersect at E. we have to prove that AE is congruent to CE and BE is congruent to DE

I. e diagonals of parallelogram bisect each other

in ACD and BEC

AD=B. (: opposite sides of parallelogram are equal)

angle DAC= angle BCF. (: alternate angle).

angle ADC= angle CBE. (:alternate angle)

by ASA rule.

ACD= BEC

by CPCT. (: corresponding parts

congruent triangles

AE = EC. and DE = EB

Hence, AE is congruent to CE and BE is congruent to DE

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step-by-step explanation:

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