Special Parallelograms Answers

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1
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The figure shown is a rhombus.

Question illustration
A
x + y = z
B
2x = y + z
C
z + x = 2y
D
2x + 2y = 4z
4

ABCD is a square.

Question illustration
A
5 units
B
7 units
C
11 units
D
13 units
8

Which measures are true for the quilt piece? Select three options.

A
a = 60°
B
x = 3 in.
C
The perimeter of the rhombus is 16 inches.
D
The measure of the greater interior angle of the rhombus is 90°.
E
The length of the longer diagonal is approximately 7 inches.
10

Rectangle PQRS is shown with its diagonals, PR and QS.

Question illustration
A
right triangle
B
equilateral triangle
C
isosceles triangle
D
scalene triangle
11

A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal?

A
31 units
B
39 units
C
41 units
D
49 units
12

Rectangle PQRS is shown with its diagonals, PR and QS.

Question illustration
A
right triangle
B
equilateral triangle
C
isosceles triangle
D
scalene triangle
13

A square with diagonals is shown. The distance from one point to the middle point is x. The length from the center point to another point is x. The length of a side is 8.

Question illustration
A
2.8 units
B
3.3 units
C
4.0 units
D
5.7 units
14

Which measures are true for the quilt piece? Select three options.

A
a = 60°
B
x = 3 in.
C
The perimeter of the rhombus is 16 inches.
D
The measure of the greater interior angle of the rhombus is 90°.
E
The length of the longer diagonal is approximately 7 inches.
15

The figure shown is a rhombus.

Question illustration
A
x + y = z
B
2x = y + z
C
z + x = 2y
D
2x + 2y = 4z
16

Figure ABCD is a parallelogram.

Question illustration
A
13
B
15
C
18
D
23
17

The figure is a parallelogram. One diagonal measures 28 units.

Question illustration
A
No, it is not a rectangle because the diagonals are congruent.
B
No, it is not a rectangle because the sides of the parallelogram do not meet at right angles.
C
Yes, it is a rectangle because the diagonals are congruent.
D
Yes, it is a rectangle because the sides of the parallelogram do meet at right angles.
18

Which statements are true of all squares? Select three options.The diagonals are perpendicular.The diagonals are congruent to each other.The diagonals bisect the vertex angles.The diagonals are congruent to the sides of the square.The diagonals are twice the length of one side of the square.

A
The diagonals are perpendicular.
B
The diagonals are congruent to each other.
C
The diagonals bisect the vertex angles.
D
The diagonals are congruent to the sides of the square.
E
The diagonals are twice the length of one side of the square.
19

The perimeter of square JKLM is 48 units.

Question illustration
A
6
B
9
C
12
D
15
20

A rectangle is shown. All angles are right angles. The length of one side is 2 x and the length of another side is 3 x + 3.

Question illustration
A
14 units
B
28 units
C
33 units
D
45 units

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