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Prove the diagonals of a parallelogram bisect one another. LOOK AT IMAGE BELOW
1. Let ABCD be a parallelogram. By 1.
definition of a side AB is
parallel to side CD and side BC is
parallel to side DA.
2. Construct diagonals BD and AC 2.
using a straightedge. Label the
point of intersection between the
diagonals point Q. According to
the property of a opposite
sides are congruent so side AB is
congruent to side CD.
3.
by the
Theorem.
4
4. Triangle ABQ and triangle CDQ
are congruent
5
5. AQ is congruent to CQ and BQ is
congruent to Do by
Consequently, diagonals BD and
AC bisect one another by
definition of a bisector
