Proving a Quadrilateral Is a Parallelogram

What is the perimeter of parallelogram LMNO?
A. 18 cm
B. 22 cm
C. 40 cm
D. 80 cm

D. 80 cm

In parallelogram LMNO, what are the values of x and y?
A. x = 11, y = 14
B. x = 11, y = 25
C. x = 55, y = 14
D. x = 55, y = 25

C. x = 55, y = 14

In parallelogram LONM, what is OM?
A. 7 cm
B. 17 cm
C. 24 cm
D. 34 cm

D. 34 cm

What is the measure of angle L in parallelogram LMNO?

m<L=40

The perimeter of parallelogram WXYZ is 50 millimeters. What is WZ?
A. 2 mm
B. 7 mm
C. 23 mm
D. 25 mm

A. 2 mm

The perimeter of parallelogram PQSR is 74 cm. What is QS?
1. 4 cm
2. 6 cm
3. 8 cm
4. 12 cm

2. 6 cm

Given: AB ≅ CD and AD ≅ BC
Prove: ABCD is a parallelogram.
What is the missing reason in step 3?

A. triangle angle sum theorem
B. SAS congruency theorem
C. SSS congruency theorem
D. CPCTC

C. SSS congruency theorem

Given: AD ≅ BC and AD ∥ BC
Prove: ABCD is a parallelogram.
What is the missing reason in step 6?

A. SSS congruency theorem
B. CPCTC
C. definition of a parallelogram
D. opposite sides in a parallelogram are congruent

B. CPCTC

What is the measure of angle O in parallelogram LMNO?

m<O = 105 degrees

Which best explains if quadrilateral WXYZ can be a parallelogram?

A. WXYZ is a parallelogram because diagonal XZ is bisected.
B. WXYZ is not necessarily a parallelogram because it is unknown if CZ = CY.
C. WXYZ is a parallelogram because ZC + CX = ZX.
D. WXYZ is not necessarily a parallelogram because it is unknown if WC = CY.

D. WXYZ is not necessarily a parallelogram because it is unknown if WC = CY.