1.
Which explanation can be used to show that quadrilateral
EFGH
is a parallelogram?
A.
Both pairs of opposite sides are parallel.
B.
One pair of opposite sides is parallel and congruent.
C.
Both pairs of opposite sides are congruent.
D.
The diagonals bisect each other.
Hint
2.
Is the quadrilateral below a parallelogram? Why or why not?
A.
Yes; Both pairs of opposite sides are parallel.
B.
Yes; Both pairs of opposite sides are congruent.
C.
No; The diagonals are not congruent.
D.
No; Both pairs of opposite sides are not parallel.
Hint
3.
Provide a counterexample for the statement.
If one pair of opposite sides of a quadrilateral is parallel and the other pair of opposite sides is congruent, then the quadrilateral is a parallelogram.
A.
B.
C.
D.
Hint
4.
Is quadrilateral
ABCD
a parallelogram? Explain why or why not.
A.
no; both pairs of opposite sides need to be congruent.
B.
yes; diagonals bisect each other.
C.
yes; opposite sides are congruent.
D.
no; all angles must be congruent.
Hint
5.
Find the value of
n
so that quadrilateral
HJKL
is a parallelogram.
A.
6
B.
48
C.
36
D.
14
Hint