AnswersOC27 GEO-1206310-S1-Degele-VOL7006PParallel and Perpendicular Lines

Perimeter and Area of Rhombi, Trapezoids, and Kites Answers

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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
2
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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 square units
B
24 square units
C
32 square units
D
48 square units
3

The area of the trapezoid is 40 square units.

Question illustration
A
3 units
B
5 units
C
10 units
D
12 units
4

A kite has vertices at (2, 4), (5, 4), (5, 1), and (0, –1).What is the approximate perimeter of the kite? Round to the nearest tenth.

A
11.3 units
B
13.6 units
C
16.8 units
D
20.0 units
5

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
6

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
7

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
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

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
10

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

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