Proving a Quadrilateral Is a Parallelogram

What is the measure of angle L in parallelogram LMNO?

40°

In parallelogram PQRS, what is PQ?

9 cm

In parallelogram LMNO, what is the measure of angle N?

b. 110°

The perimeter of parallelogram ABCD is 46 inches. What is DA?

b. 4 in.

Quadrilateral RSTU is a parallelogram. What must be the value of x?

c. 5

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

c. SSS congruency theorem

In parallelogram RSTU, what is SU?

d. 26 m

What is the perimeter of parallelogram LMNO?

d. 80 cm

Which best explains if quadrilateral WXYZ can be a parallelogram?

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

In parallelogram LMNO, what are the values of x and y?

c. x = 55, y = 14