Question

Given: Quadrilateral DEFG is a parallelogram.



Prove: GH ≅ EH
DH ≅ FH



What is the missing statement for step 7 in this proof?
A.
ΔDGH ≅ ΔFEH
B.
ΔGHF ≅ ΔEHD
C.
ΔDGF ≅ ΔFED
D.
ΔDEF ≅ ΔEDG

Proof:
Statement Reason
1. Quadrilateral DEFG is a parallelogram. given
2.
definition of a parallelogram
3. Draw and . These line segments are
transversals cutting two pairs of parallel lines:
and and and . drawing line segments
4. Place point H where and intersect. defining a point
5. ∠HGD ≅ ∠HEF
∠HDG ≅ ∠HFE

6. DG ≅ EF Opposite sides of a parallelogram are congruent.
7. ASA criterion for congruence
8. GH ≅ EH
DH ≅ FH Corresponding sides of congruent triangles are congruent.

Answer 1

Answer:

if the opposite sides are parallel of the quadrilateral. then they must be equal due to opposite parallel sides of quadrilateral..

then many d

facts like alternate angles sides

are used for congruency verification..ll

then many other things will be equal due to.. CPCT