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
What is the difference between a rectangle and a square?
All 4 sides are congruent and diagonals are perpendicular and bisect the angles.
100
In a trapezoid, the upper base is 12, and the lower base is 30. What is the midsegment of the trapezoid?
21
200
If ABCD is a parallelogram and angle A = 2x + 40, and angle B = 3x - 10. What is x equal to?
X= 30
200
When is a rhombus a parallelogram? Always, Sometimes, or Never
Always. It gets all the properties from a parallelogram.
200
In rectangle ABCD, AC = 7x and BD = 3x + 20. What is the value of x?
x = 5.
200
What is the difference between a rhombus and a square?
4 right angles and diagonals bisect each other.
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, BC = 6x - 2, and AD = 2x + 14. What is the length of BC?
x=4 so BC = 6(4)-2= 22
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): There are 4 sides, all 4 sides are congruent, opposite sides parallel ( ANGLES): Add up to 360, 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 the angles of a rectangle add up to?
The angles add to 360.
400
In square ABCD, the diagonals are drawn. What angle do the diagonals create when they are drawn?
90 degrees
400
I have two parallel sides and two congruent sides. 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.
500
In rhombus ABCD, the diagonals are drawn and intersect at E. If AC = 20ft, and BD = 48ft, what is the area of my rhombus?
480 ft 2
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 area of the square?
36 cm2
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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