Area of Triangles and Parallelograms — Cumulative exam Answers

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On a coordinate plane, a circle has a center at (negative 2, 1).

Question illustration
A
x2 + y2 + 4x – 2y – 4 = 0
B
x2 + y2 + 4x – 2y + 2 = 0
C
x2 + y² – 4x + 2y – 4 = 0
D
x2 + y² – 4x + 2y + 2 = 0
42
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Triangle BDC is isosceles.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
43

Kite E F G H is inscribed within a rectangle. Points F and H are midpoints of the sides of the rectangle. Points E and G are parallel to the side of the rectangle.

Question illustration
A
The area of EFGH is of the area of the rectangle if E and G are not midpoints.
Option A
B
The area of EFGH is of the area of the rectangle only if E and G are midpoints.
Option B
C
The area of EFGH is always of the area of the rectangle.
Option C
D
The area of EFGH is always of the area of the rectangle.
Option D
44

On a coordinate plane, triangles R S T and L M N are shown. Triangle R S T has points (5, 5), (2, 1), and (1, 3). Triangle L M N has points (0, negative 1), (2, negative 4), and (negative 2, negative 3).

Question illustration
A
The area of △RST is 2 square units less than the area of △LMN.
B
The area of △RST is equal to the area of △LMN.
C
The area of △RST is 2 square units greater than the area of △LMN.
D
The area of △RST is 4 square units greater than the area of △LMN.
45

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

Question illustration
A
7 square units
B
8 square units
C
14 square units
D
16 square units
46

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

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Area of Triangles and Parallelograms —…