Mathematics, 13.12.2020 20:00 damian11154

In the figure, AC and BD bisect each other. Complete the statements to prove that quadrilateral ABCD is a parallelogram. Statement
AC and BD bisect each other.
AE = EC and BE = ED
mZAEB= mz CED
AABE ACDE
LACD LCAB
AB|CD
MZBEC= MZAED
ABEC ADEA
BC||AD
Quadrilateral ABCD is a parallelogram. definition of a parallelogram
Reason
given
definition of bisection
SAS criterion
Corresponding angles of congruent triangles are congruent.
converse of Alternate Interior Angles Theorem
Vertical Angles Theorem
SAS criterion for congruence
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