Transcript 5.1 Properties of parallelograms

A
quadrilateral with both pairs of opposite
sides parallel. We will use this symbol to
shorten things up…
 The
following are several theorems that are
true for all parallelograms, they can be
proven (which we will do) by using what we
have learned about parallel lines and
congruent triangles.
 Opposite
sides of a parallelogram are
congruent.
Given:
EFGH
Prove: EF  HG, FG  EH
 Opposite
angles of a parallelogram are
congruent
 Diagonals
other
of a parallelogram bisect each
Given:
QRST with diagonals
QS and TR
Prove: QS and TR bisect each
other
1
3
4
2
 Consecutive
angles in a parallelogram are
supplementary.
 -Think
about why?