Given: Quadrilateral DEFG is a parallelogram.
22
What is the reason for step 5 in this proof
OA Vertical Angles Theorem
OB. Opposite interior angles of a parallelogram are congruer
OC All angles of a rectangle have the same measure
OD. Alternate Interior Angles Theorem
G
Prove GHE EM
DHE FH
2. DE|GP
lare
Proof
Statement
Reason
1. Quadrilateral DEFG is a parallelogram. given
DGBP
definition of a parallelogram
3. Draw DP and GE . These line segments
cransversals cutting two pairs of parallel lines: drawing line segments
DE and GP and DG and EP.
4. Place point Hwhere DP and GE intersect. defining a point
5. LHGD HEF
HDGA ZHFE
Opposite sides of a
6. DG EF
parallelogram are congruent.
7.
ASA criterion for congruence
B. GHE SH
Corresponding sides of
congruent triangles are
DHE FH
congruent
