Parallelograms
Rhombuses
Rectangles
Squares
100
Name a property that the diagonals of a parallelogram have.
The diagonals bisect each other.
100
In Rhombus MNOP, MN = 24, and NO = 2x + 6. What is the value of x?
x = 9
100
Name the 2 properties that the diagonals of a rectangle have.
They are congruent and bisect each other.
100
How do you prove a rectangle is a square?
Show it has 2 congruent adjacent sides. Also acceptable, show all 4 sides are congruent.
200
If ABCD is a parallelogram and angle A = 2x + 40, and angle B = 3x - 10. Explain how you would set up the equation.
Add the expressions and set them equal to 180 degrees. ( Consecutive Angles are Supplementary )
200

True or False: A parallelogram is always a rhombus.

False - a parallelogram does always have 4 equal sides.

200
In rectangle ABCD, AC = 7x and BD = 3x + 20. What is the value of x?
x = 5.
200
How do you prove a rhombus is a square?
Show it has ONE right angle. Also accpetable, Show it has 4 right angles.
300
If ABCD is a parallelogram, and AB = 3x - 5, and BC = 6x - 2, and AD = 2x + 12. Explain the equation used to solve the problem.
Set the expressions for sides BC and AD equal to one another.
300
In rhombus ABCD, diagonals AC and BD intersect at E. If the measure of angle BAD = 72, what is the measure of angle CED?
Angle CED = 54, use the right triangles, and the fact that the angles bisect the corner angles.
300
In rectangle ABCD, the diagonals intersect at E. AE = 4x + 20, BC = 7x + 12 and DE = 8x + 4. What is the value of x?
x = 4
300
Name at least 7 properties of a square.
(DIAGONALS): perpendicular, congruent, bisect each other, bisect the angles (SIDES): all 4 sides are congruent, opposite sides parallel ( ANGLES): All 4 angles are congruent, consecutive angles are supplementary.
400

True or False: A parallelogram is always a rectangle.

False - not all parallelograms have right angles.

400

Any rhombus with 4 right angles is called a...?

SQUARE

400

True or False: A rectangle is always a parallelogram.

True - parallelograms and rectangles have 2 pairs of parallel sides and 2 pairs of equal sides.

400
One side of a square is 5 cm. What is the length of the diagonal of the square?
5 radical 2 ( 5 times the square root of 2 )
500
In parallelogram ABCD, diagonals AC and BD intersect at E. If angle A = 85, and AE = 3x + 10, and EC = 7x - 30, Find the measure of angle C and the value of x.
Angle C is 85 degrees, and x = 10, b/c the diagonals bisect each other.
500
In rhombus ABCD, the diagonals are drawn and intersect at E. If AC = 20, and BD = 48, what is the measure of AB?
Use the fact that the diagonals bisect each other and are perpendicular. Each right triangle has legs of 10 and 24. Use the pythagorean theorem to figure out that AB = 26.
500
If a rectangle and a rhombus had a child, what would it look like? Why?
It would be a square b/c a square has all of the properties of a rectangle and a rhombus.
500

The diagonal of a square is 6 cm. What is the length of one side of the square? 

4.24

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