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

Area of Triangles and Parallelograms Answers

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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.
2
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On a coordinate plane, parallelogram A B C D has points (3, 6), (6, 5), (5, 1), and (2, 2).

Question illustration
A
13 square units
B
14 square units
C
15 square units
D
16 square units
3

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)
4

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).

Question illustration
A
3.7 units
B
4.1 units
C
4.8 units
D
5.6 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

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
7

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
8

A hole the size of a photograph is cut from a red piece of paper to use in a picture frame.

Question illustration
A
17 square units
B
25 square units
C
39 square units
D
47 square units
9

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
10

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
11

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
12

For a project, Carlos must provide one cut-out paper model of each type of triangle: acute, right, and obtuse. He sketches each triangle on graph paper before making the models.

Question illustration
A
12.5 square units
B
13 square units
C
13.5 square units
D
14 square units
13

On a coordinate plane, triangle L M N has points (1, negative 1), (3, 2), and (1, 3). An altitude is drawn from point M to point P on side N L.

Question illustration
A
3 square units
B
4 square units
C
6 square units
D
8 square units
14

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

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