AnswersFoundations of Math 1Two-Dimensional Geometry

Two-Dimensional Geometry — Test Answers

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In the diagram, SR is equal to 4 square root of 2 and QR is equal to square root of 10 What is the perimeter of parallelogram PQRS ?

A
8 square root of 2 plus 8 units
B
16 square root of 2 units
C
square root of 10 units
D
8 square root of 2 plus 2 square root of 10 units
3

What is the area of parallelogram RSTU ?

A
24 square units
B
21 square units
C
32 square units
D
28 square units
4

What is the perimeter of rectangle EFGH ?

A
square root of 10 plus square root of 29 units
B
2 square root of 10 plus 2 square root of 29 units
C
22 units
D
39 units
5

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

A
20 square units
B
24 square units
C
12 square units
D
10 square units
6

In circle cap c , r is equal to 32 units. What is the area of circle cap c ?

A
1024 pi units squared
B
256 pi units squared
C
64 pi units squared
D
32 pi units squared
8

What is the area of triangle LMN ?

A
14 square units
B
24 square units
C
12 square units
D
15 square units
9

What is the approximate length of arc QR ? Round to the nearest tenth of a centimeter.

A
19 point 9 centimeters
B
43 point 0 centimeters
C
21 point 5 centimeters
D
9 point 9 centimeters
10

What is the perimeter of trapezoid JKLM ?

A
9 plus square root of 2 plus square root of 5 units
B
2 plus square root of 2 plus square root of 5 units
C
9 plus 2 square root of 2 units
D
square root of 2 plus square root of 5 units
13

Which statement proves that triangle XYZ is an isosceles right triangle?

A
The slope of line segment XZ is 3 fourths , the slope of line segment XY is negative 4 thirds , and XZ is equal to XY is equal to 5 .
B
The slope of line segment XZ is 3 fourths , the slope of line segment XY is negative 4 thirds , and the slope of line segment ZY is equal to 7 .
C
line segment XZ perpendicular to line segment XY
D
XZ is equal to XY is equal to 5
14

The measure of central angle ABC is (π)/(2) radians. What is the area of the shaded sector?

A
6 pi units squared
B
9 pi units squared
C
18 pi units squared
D
36 pi units squared
15

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
The area of AXYD is less than the area of BXYC .
B
Each area is equal to the area of ABCD .
C
Each area is equal to half of the area of ABCD .
D
The area of AXYD is greater than the area of BXYC .
16

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 equal to the area of parallelogram GHJK .
C
The area of triangle ABC is 1 square unit greater than the area of parallelogram GHJK .
D
The area of triangle ABC is 1 square unit less than the area of parallelogram GHJK .
19

What is the total area of the three triangles?

A
13 point 5 square units
B
13 square units
C
12 point 5 square units
D
14 square units
20

line segment BC is parallel to line segment AD and line segment CD is parallel to line segment BA because the ________________________________. Therefore, ABCD is a parallelogram because both pairs of opposite sides are parallel.

A
slopes of opposite sides are equal
B
slopes of consecutive sides are not equal
C
lengths of opposite sides are equal
D
lengths of consecutive sides are not equal

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