AnswersGeometry with StatisticsGeometric Modeling in Two Dimensions

Geometric Modeling in Two Dimensions — Test Answers

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What is the perimeter?

A
20 centimeters
B
5 centimeters
C
10 centimeters
D
2 centimeters
3

How does the area of triangle ABC compare to the area of parallelogram GHJK ?

A
The area of triangle ABC is 2 square units greater than the area of parallelogram GHJK .
B
The area of triangle ABC is 1 square unit greater than the area of parallelogram GHJK .
C
The area of triangle ABC is equal to the area of parallelogram GHJK .
D
The area of triangle ABC is 1 square unit less than the area of parallelogram GHJK .
4

What is the area of the shaded region?

A
25 pi minus 30 times square centimeter
B
25 pi minus 12 times square centimeter
C
25 pi minus 48 times square centimeter
D
25 pi minus 24 times times square centimeter
5

Which polygon is a concave octagon?

A
Image with description A polygon with 8 sides and 1 interior angle greater than 180 degrees.
B
Image with description A polygon with 8 sides and no interior angles greater than 180 degrees.
C
Image with description A polygon with 7 sides and 1 interior angle greater than 180 degrees.
D
Image with description A polygon with 8 sides and no interior angles greater than 180 degrees.
6

What is the approximate area of the hexagon?

A
42 in. squared
B
24 in. squared
C
48 in. squared
D
84 in. squared
7

What is the measure of angle cap b ?

A
108 degrees
B
118 degrees
C
128 degrees
D
98 degrees
8

Recall that in a 30 degrees - 60 degrees - 90 degrees triangle, if the shortest leg measures x units, then the longer leg measures x square root of 3 units and the hypotenuse measures 2 x units.

A
300 minus 75 pi square feet
B
150 square root of 3 minus 25 pi square feet
C
150 square root of 3 minus 75 pi times square feet
D
300 minus 25 pi square feet
9

What is the area of triangle GHJ ?

A
6 square units
B
5 square units
C
12 square units
D
7 square units
10

What is the area of parallelogram RSTU ?

A
24 square units
B
32 square units
C
28 square units
D
21 square units
12

Trapezoid ABCD is graphed in a coordinate plane. What is the area of the trapezoid?

A
24 square units
B
12 square units
C
10 square units
D
20 square units
13

What is the area of parallelogram RSTU ?

A
38 square units
B
32 square units
C
24 square units
D
26 square units
16

What is the measure of angle BCD ?

A
155 degrees
B
25 degrees
C
40 degrees
D
140 degrees
17

What type of polygon is shown?

A
convex heptagon
B
concave heptagon
C
convex hexagon
D
concave hexagon
18

In the regular nonagon shown, what is the measure of angle x ?

A
60 degrees
B
45 degrees
C
40 degrees
D
36 degrees
19

Figure ABCD is a parallelogram. Two trapezoids are created using line segment XY such that line segment AX is congruent to line segment CY What is true about the areas of the trapezoids?

A
Each area is equal to half of the area of ABCD .
B
The area of AXYD is greater than the area of BXYC .
C
Each area is equal to the area of ABCD .
D
The area of AXYD is less than the area of BXYC .

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