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Parallelogram Proofs

Total questions: 22

Worksheet time: 11mins

Name
Class
Date
1.

Which theorem shows that the quadrilateral is a parallelogram?

a)

Parallelogram Diagonals Converse

b)

Parallelogram Opposite Sides Converse

c)

Parallelogram Opposite Angles Converse

d)

Opposite Sides Parallel and Congruent Theorem

2.

Which theorem shows that the quadrilateral is a parallelogram?

a)

Parallelogram Diagonals Converse

b)

Parallelogram Opposite Sides Converse

c)

Parallelogram Opposite Angles Converse

d)

Opposite Sides Parallel and Congruent Theorem

3.

Which theorem shows that the quadrilateral is a parallelogram?

a)

Parallelogram Diagonals Converse

b)

Parallelogram Opposite Sides Converse

c)

Parallelogram Opposite Angles Converse

d)

Opposite Sides Parallel and Congruent Theorem

4.

Find the values of x and y that make the quadrilateral a parallelogram.

a)

x = 3, y = 2

b)

x = 25, y = 15

c)

x = 15, y = 25

d)

x = 113, y = 67

5.

Find the values of x and y that make the quadrilateral a parallelogram.

a)

x = 4, y = 3

b)

x = 3, y = -2

c)

x = 1, y = 4

d)

x = 3, y = 4

6.

Find the value of x that makes the quadrilateral a parallelogram.

a)

x = -4

b)

x = 1

c)

x = 8

d)

x = 34

7.

Find the value of x that makes the quadrilateral a parallelogram.

a)

x = 26

b)

x = 7

c)

x = 2

d)

x = -2

8.

Parallelograms are ...

a)

triangles

b)

quadrilaterals

c)

pentagons

d)

hexagons

9.
State which method we can use to show that the quadrilateral is a parallelogram. 
a)
Both pairs of opposite angles are congruent.
b)
Both pairs of opposite sides are congruent.
c)
Both pairs of diagonals bisect each other.
d)
Both pairs of opposite sides are parallel. 
10.

Is there enough information to determine that this quadrilateral is a parallelogram?

a)

yes, all opposite sides are congruent

b)

yes, opposite angles are congruent

c)

yes, opposite sides are parallel

d)

yes, consecutive interior angles are supplementary

11.

The opposite sides and opposite angles of a parallelogram are...

a)

congruent

b)

supplementary

c)

perpendicular

d)

not congruent

12.
If Quadrilateral ABCD is a Parallelogram the measure of ∠C is 
a)
68°
b)
112°
c)
22°
d)
158°
13.
How long is the side CD?
a)
7
b)
3
c)
35
d)
27
14.

Is there enough information to determine that this quadrilateral is a parallelogram?

a)

yes, opposite sides are congruent

b)

yes, opposite sides are parallel

c)

no, not all pairs of opposite sides are congruent

d)

no, it is not a quadrilateral

15.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
16.

State which method we can use to show that the quadrilateral is a parallelogram.

a)

Both pairs of opposite angles are congruent.

b)

Both pairs of opposite sides are congruent.

c)

The diagonals bisect each other.

d)

Both pairs of opposite sides are parallel.

17.

Polygon ABCD is a Quadrilateral which of the following pieces of information would prove that ABCD is a parallelogram?

a)

DB=AC

b)

DA=BC

c)

DA||BC

d)

DA||BC, DA=BC

18.

Is the quadrilateral a parallelogram?

a)

Yes; one pair of opposite sides are parallel

b)

Yes; one pair of opposite sides are congruent

c)

Yes; one pair of opposite sides are parallel and congruent

d)

No; only one pair of sides are parallel

e)

No; only one pair of sides are congruent

19.
How do you find the length of the side of a parallelogram?
a)
Use the distance formula
b)
Use the slope formula
c)
Use the midpoint formula
20.
How do you prove two lines are parallel?
a)
Use the distance formula
b)
Use the midpoint formula
c)
Use the slope formula and show the slopes are the same
d)
Use the slope formula and show the slopes are opposite reciprocals
21.
How can you prove two diagonals bisect each other?
a)
Use distance formula and prove they have the same length
b)
Use midpoint formula and prove they have the same midpoint
c)
Use the slope formula and prove they have the same slope
d)
Use the slope formula and prove the slopes are perpendicular
22.

If you can prove that one pair of opposite sides of a parallelogram are the same length and have the same slope, you can prove that it is a parallelogram.

a)

Always

b)

Sometimes

c)

Never