AnswersOC27 GEO-1206310-S2-Degele-VOL7006PArea of Triangles and Parallelograms

Perimeter and Area of Rhombi, Trapezoids, and Kites Answers

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On a coordinate plane, trapezoid A B C D has points (negative 3, negative 2), (negative 1, 2), (3, 2), and (5, negative 2).

Question illustration
A
16.5 units
B
18.9 units
C
20.9 units
D
24.0 units
2
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Rhombus A B C D is shown. Lines are drawn from point A to point C and from point D to point B and intersect at point E. All sides are congruent.

Question illustration
A
9
B
10
C
14
D
16
3

A kite is shown. Lines are drawn from each point to the opposite point to form a letter t.

Question illustration
A
48 sq. cm
B
96 sq. cm
C
144 sq. cm
D
192 sq. cm
4

Kite A B C D is shown. Lines are drawn from point A to point C and from point B to point D and intersect.

Question illustration
A
5 units
B
6 units
C
10 units
D
12 units
5

The area of the trapezoid is 40 square units.

Question illustration
A
3 units
B
5 units
C
10 units
D
12 units
6

Kite E F G H is inscribed in a rectangle. Points F and H are midpoints of sides of the rectangle, and creates a side length of x. Lines are drawn from point F to point H and from point E to point G and intersect at a point. Line E G is parallel to a rectangle side. The distance from point F to the intersection is 2, and the distance from H to the intersection is 5.

Question illustration
A
4 units
B
5 units
C
6 units
D
7 units
7

On a coordinate plane, trapezoid A B C D has points (negative 3, negative 2), (negative 1, 2), (3, 2), and (5, negative 2).

Question illustration
A
16 square units
B
24 square units
C
32 square units
D
48 square units
8

A rhombus with congruent sides is shown. Diagonals are drawn. The length of one diagonal is 6, and the length of the other diagonal is 8. The diagonals intersect to cut the lengths in half.

Question illustration
A
12 square units
B
18 square units
C
24 square units
D
48 square units
9

A trapezoid is shown. The lengths of the bases are 4 and 8. The height of the altitude is 4.

Question illustration
A
16 square units
B
24 square units
C
32 square units
D
36 square units
10

4 congruent kites and connected an inscribed within a rectangle. The rectangle is 4 inches wide and 8 inches long.

Question illustration
A
4 sq. in.
B
8 sq. in.
C
12 sq. in.
D
16 sq. in.
11

The diagonal of a square is x units. What is the area of the square in terms of x?

A
square units
Option A
B
square units
Option B
C
2x square units
D
square units
Option D
12

The area of a rhombus is 65 square units. The length of one diagonal is 13 units. What is the length of the other diagonal?

A
5 units
B
6 units
C
10 units
D
12 units
13

A kite is inscribed within a square with a side lengths of 9 units.

Question illustration
A
27.5 square units
B
36.0 square units
C
40.5 square units
D
45.0 square units
14

On a coordinate plane, kite W X Y Z has points (1, 1), (3, 4), (5, 1), (3, negative 3).

Question illustration
A
10.6 units
B
11.5 units
C
14.0 units
D
16.2 units
15

Kite A B C D is shown. Lines are drawn from point A to point C and from point B to point D and intersect.

Question illustration
A
15 square units
B
30 square units
C
45 square units
D
60 square units

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