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

Area of Triangles and Parallelograms Answers

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21
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On a coordinate plane, triangle A B C has points (1, 1), (4, 0), (3, 5).

Question illustration
A
3 square units
B
7 square units
C
11 square units
D
15 square units
22
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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
23

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
24

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
25

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
26

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
27

On a coordinate plane, triangle A B C is shown. Point A is at (negative 1, 1), point B is at (3, 2), and points C is at (negative 1, negative 1)

Question illustration
A
0.625 units
B
0.8 units
C
1.25 units
D
1.6 units
28

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)

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