Properties of Polygons and Quadrilaterals

The figure is a parallelogram.  
Solve for x.  

• 1

• 11

• 7

• 6

Which quadrilateral(s) have opposite sides that are congruent? (check all that apply)

• Parallelogram

• Rectangle

• Square

• Rhombus

Given Rhombus TUVW. Find m∠1.

• 62

• 28

• 90

• 78

(Hint: These are consecutive angles, then plug in x)

• 117

• 14

• 63

• 180

Which quadrilateral(s) have perpendicular diagonals? (check all that apply)

• Parallelogram

• Rectangle

• Square

• Rhombus

Solve for x in the rectangle.

• x=2

• x=7

• x=8

• x=3

Given rectangle DEFG, if FD = 3x - 7 and EG = x + 5, find EG.

• 6

• 11

• 7

• 5

The figure is a rhombus. Find TU.

• 5

• 10

• 47

• 23.5

• 90
• 45
• 30
• 180

The following quadrilateral has the following vertices: Q(-2,-7), R(1,-5), S(4, -7), and T(1,-9). Determine the specific classification of the quadrilateral.

• Parallelogram

• Rectangle

• Rhombus

• Square