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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 quadrilateral 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 midesgement 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 find the measure of the angle.

Add the expressions and set them equal to 180 degrees. ( Consecutive Angles are Supplementary )

200

What do a square and rhombus have in common?

  • Four equal sides
  • Opposite angles are equal
  • Diagonals bisect each other
  • Diagonals are perpendicular
  • Opposite sides are parallel
  • Interior angles add up to 360°
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
A quadrilateral has the following properties: Its diagonals bisect the angles. Its diagonals are not congruent. Choose any of the following that it could be. I.) isosceles trapezoid II.) rhombus III.) rectangle IV.) parallelogram V.) square
II.) rhombus only
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 4 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.

300
In an isosceles trapezoid, which of the following are NOT true? Choose all that apply. I.) the diagonals bisect each other II.) the diagonals are congruent III.) the upper base angles are congruent IV.) the non parallel sides are congruent
I only.
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 the 3 properties that the diagonals of a rhombus have.
diagonals bisect each other diagonals are perpendicular diagonals bisect the angles
400

What do all 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 perimeter of the square.

20 cm

400
I have congruent diagonals, the slopes of two of my sides are equal, and the slopes of my other two sides are opposites of each other, namely -1/2 & 1/2. 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 side  of a square is 6 cm. What is the length of the diagonal?

8.5

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