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.
100

In a trapezoid, the upper base is 12, and the lower base is 30. What is the median of the trapezoid?

1/2(12 + 30 ) = 1/2(42) = 21

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
Can a rhombus be a rectangle? If so, draw a picture. If not, explain why not.
Yes, it would look like a square. It has all the properties of a rhombus and rectangle.
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.
200

True or False: A rectangle is always a square.

False. A rectangle is sometimes a square if it has four equal sides.

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 CDA?

Angle CDA = 108

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

A square is always a rectangle.

True - squares and rectangles have 4 right angles, 2 pairs of parallel sides, and 2 pairs of equal sides.

300

True or False: A square is always a rhombus.

True

400
To prove a quadrilateral is a parallelogram, show which of the following: ( You may choose more than one. ) I.) Both pairs of opposite sides are congruent. II.) Both pairs of opposite sides are parallel. III.) One pair of sides are parallel and congruent. IV.) The diagonals are congruent.
I, II, and III only. The diagonals are not congruent, they BISECT EACH OTHER.
400

Name 2 properties about the diagonals of a rhombus.

diagonals bisect each other and diagonals are perpendicular

400

What do the angles of a rectangle add up to?

The angles add to 360.

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 )
400

The slopes of two of my sides are equal and the length of my legs are the same. What am I?

An isosceles trapezoid.

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? Leave your answer in simplest radical form.
The square root of 18, which is 3 radical 2.
500

A quadrilateral has these properties: Diagonals bisect each other. Diagonals are congruent. Choose any of the following that it could be. I.) isosceles trapezoid II.) rhombus III.) rectangle IV.) parallelogram V.) square

III.) rectangle and V.) square

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