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

Perimeter and Area of Rhombi, Trapezoids, and Kites Answers

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On a coordinate plane, parallelogram A B C D is shown. Point A is at (1, 3), point B is at (8, 8), point C is at (12, 5), and point D is at (5, 0).

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A
3.7 units
B
4.1 units
C
4.8 units
D
5.6 units
2
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Michael is finding the area of parallelogram ABCD. To do this, he follows the steps in the table. Step 1 Draw a rectangle around parallelogram ABCD.Step 2Find the area of the rectangle.Step 3Find the area of the four right triangles created in the corners of the rectangle.Step 4Subtract the area of the right triangles from the area of the rectangle.

A
2 units by 4 units
B
3 units by 2 units
C
4 units by 4 units
D
5 units by 6 units
3

On a coordinate plane, parallelograms A B C D and E F G H are shown. Parallelogram A B C D has points (4, 2), (7, 2), (4, 6), (1, 6). Parallelogram E F G H has points (negative 2, 2), (negative 5, 2), (negative 6, 6), and (negative 3, 6).

Question illustration
A
The area of parallelogram ABCD is 4 square units greater than the area of parallelogram EFGH.
B
The area of parallelogram ABCD is 2 square units greater than the area of parallelogram EFGH.
C
The area of parallelogram ABCD is equal to the area of parallelogram EFGH.
D
The area of parallelogram ABCD is 2 square units less than the area of parallelogram EFGH.
4

On a coordinate plane, parallelogram R S T U is shown. Point R is at (1, 1), point S is at (7, 0), point T is at (10, 4), and point U is at (4, 5).

Question illustration
A
4.5 units
B
5.4 units
C
9.0 units
D
10.8 units
5

On a coordinate plane, triangle A B C is shown. Point A is at (0, 0), point B is at (3, 4), and point C is at (3, 2).

Question illustration
A
2.5 square units
B
3 square units
C
3.5 square units
D
4 square units
6

Payton cut out two shapes, as shown, that she will later put together to resemble a house.

Question illustration
A
20 square units
B
21 square units
C
22 square units
D
23 square units
7

On a coordinate plane, triangle R S T has points (negative 5, 6), (3, 4), and (negative 2, 2).

Question illustration
A
(8 ∙ 4) - (10 + 12 + 16)
Option A
B
(8 ∙ 4) - (10 + 12 + 16)
C
(8 ∙ 4) - (5 + 6 + 8)
Option C
D
(8 ∙ 4) - (5 - 6 - 8)
8

On a coordinate plane, parallelogram A B C D has points (negative 3, 5), (1, 5), (5, 0), and (1, 0).

Question illustration
A
16 square units
B
20 square units
C
24 square units
D
25 square units
9

On a coordinate plane, triangle Q R S has points (negative 1, 2), (1, negative 4), (negative 2, negative 2).

Question illustration
A
7 square units
B
9 square units
C
10 square units
D
13 square units
10

On a coordinate plane, triangle G H J has points (1, 1), (4, 1), (4, 5).

Question illustration
A
5 square units
B
6 square units
C
7 square units
D
12 square units

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