Squares, Rectangles, and Rhombus

ABCD is a rectangle.  m∠BCE = 4x-23 and m∠DCE = 5+5x.  Find m∠BCE. 

• 25

• 12

• 130

• 32

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

• 6

• 11

• 7

• 5

MNKL is a square. Find the measure of angle MKN.

• 180 degrees

• 90 degrees

• 60 degrees

• 45 degrees

ABCD is a rectangle.  m∠BCA = 58.  Find m∠BAC. 

• 90

• 58

• 64

• 32

Using the properties of the special parallelogram, solve for x and y.

• x = 2, y = 1

• x = 2, y = 0

• x = 1, y = 1

• x = 1, y = 0

If AC = 10x+6 and BE = 8x-6, find BD.

• 3

• 18

• 12

• 36

In the rhombus, angle 1 = 10x, angle 2 = x + y, and angle 3 = 15z. Find the value of each variable. 

• x = 10, y = 5, z = 6

• x = 9, y = 81, z = 6

• x = 15, y = 75, z = 4

A rhombus is a parallelogram with...

• four congruent angles

• four right angles

• four congruent sides

• two congruent sides

A rectangle is a parallelogram with...

• four right angles

• four congruent sides

• two sides parallel

• None of the above

A square is a parallelogram with...(read all options before selecting)

• four right angles

• four congruent sides

• four right angles and four congruent sides

• none of the above