Geometry: Polygons, Quadrilaterals, Parallelograms, Parallelogram Proofs

The sides of parallelogram ABCD

are represented as shown.

Find DA.

• 10

• 24

• 12

• 30

In rhombus DOGS, DO = 2p + 9

and OG = 3p - 6.

Find GS.

• 3

• 19

• 15

• 39

In rhombus ABCD, m∠ECB = 5a+4 and m∠EBC = 8a - 5.Find m∠EBC.

• 39

• 43

• 47

• 51

Given parallelogram ABCD, labeled as shown. Find a and b.

• a = 10; b = -30

• a = 40; b = 10

• a = 10; b = 40

• a = 40; b = -10

The figure is a parallelogram.  
Solve for x.  
Give a reason.

• 7

• 1

• 5

• 2

What is reason #4?

• Same-side interior angles theorem

• alternate interior angles theorem

• consecutive angles theorem

• supplementary angles

What is reason #3? Make sure you write-in the reasons on your proofs.

• Definition of a parallelogram

• Definition of a quadrilateral

• opposite sides are congruent property

• opposite sides are supplementary

What is NOT a property of a rectangle?

• Diagonals are congruent.

• Diagonals bisect each other.

• Diagonals are perpendicular.

• All angles are congruent.

What is the name of this shape?

• Kite

• Rhombus

• Square

• Rectangle

Find the value of x.

• x = 80 degrees

• x = 100 degrees

• x = 90 degrees

• x = 110 degrees