Parallelograms Assignment and Quiz

Figure CDEF is a parallelogram. Which measures are correct? Check all that apply.

n = 10 CF = 59 FE = 42

Figure ABCD is a parallelogram. Which sequence could be used to prove that AD = BC?

First prove ABC is congruent to CDA, and then state AD and BC are corresponding sides of the triangles.

Yolanda is making a banner for a school pep rally. She cuts fabric in the shape of a parallelogram. The angle at the bottom left corner measures 80°. The measure of the angle at the top left corner must measure

100°

What are the remaining angle measures if the figure is to be a parallelogram? m∠B = __° m∠C = __° m∠D = __°

101 79 101

The parallelogram shown represents a map of the boundaries of a natural preserve. Walking trails run from points A to C and from points B to D. The measurements shown represent miles. What is the sum of the lengths of the two trails?

16 miles

Figure ABCD is a parallelogram. What is the value of n?

17

In parallelogram HGJL, HK = c - 7, JK = 3c - 33, and GK = c + 12. What is the length of segment GL?

50 units

Figure ABCD is a parallelogram. What is the value of p?

6

Lourdes is making a frame in the shape of a parallelogram. She adds diagonal braces to strengthen the frame. How long is the brace that connects points B and D?

60 cm

A plot of land is in the shape of a parallelogram with the dimensions shown. How many feet of fencing are needed to enclose the lot?

68 feet

What is the length of segment EB in parallelogram ABCD?

69 units

What is the measure of ∠A? What is the measure of ∠B?

72° 108°

What is the value of r? What is the length of segment EF?

9 55 units

Figure TUVS is a parallelogram. Which angles equal 91°?

angles T and V

Which concept is used to prove that the opposite sides of a parallelogram are congruent?

congruent triangles

Given: ABCD is a parallelogram. Prove: ∠A and ∠D are supplementary. By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are ____________ angles. Because AB and DC are ____________, the same-side interior angles must be ____________ by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.

same-side interior parallel supplementary

Use parallelogram ABCD. What are the values of x and y?

x = 17 y = 10

Figure ABCD is a parallelogram. What are the measures of angles B and D?

∠B = 55°; ∠D = 55°