Geometry (10.2) Semester 2 Review

7.82

Find the value of x, the slant height of the regular pyramid. Round your answer to the nearest hundredth if necessary.

7sqrt(5)

Multiply the radicals. Then simplify if possible: sqrt(7) x sqrt(35)

cube

Name the geometric solid suggested by a building block

arc ADB

Name the major arc in the image

arc AB

Name the minor arc in the image.

12

Solve for x

26

Solve for x

4

Solve for x

64

Solve for x

84 ft

Find the height of the building to the nearest foot.

150.8

Find the lateral area of the cylinder to the nearest square unit. Use 3.14 for pi. The diagram is not to scale.

68

Find the measure of angle A

37.28

Campsites D and E are on opposite sides of a lake. A survey crew made the measurements shown on the diagram. What is the distance between the two campsites? The diagram is not to scale.

Rectangular prism

Classify the following figure

8

How many vertices does the shape have

76

Use the image.

61

Find the area of the shaded region to the nearest whole number. Use 3.14 for pi.

150

Find the area of the trapezoid

219.8

Find the circumference of the circle. Use 3.14 for pi.

sin(40 degrees)

What is the exact value of sin(40 degrees)

chord

A _______ is a segment whose endpoints are on a circle.

13

A circle has the given area (see image). What is the diameter?

13.8

A circle with a diameter of 8 inches has its center at the center of a square with 8 inch sides. Find the area of a region that is inside the square and outside the circle (see image). Use 3.14 for pi.

6

A parallelogram has a height of 14 feet and an area of 84 square feet. Find the base.

5 cm

A represents the area of the trapezoid. Find the missing measure. A= 135 square cm

AA Similarity Postulate

Can the two triangles (not drawn to scale) be shown to be similar with only the given information? If so, state which postulate or theorem can be used.

4 in

For the pair of similar polygons find the missing side.

Regular octagon

Identify the shape

x=30, y=90

If C is the center of the circle, Find x and y

No

In the following image is CE/CA = CB/CD?

yes

In the following image, is z=w?

concave

Is the polygon convex or concave?

convex

Is the shape convex or concave?

62

Find the measure of the marked acute angle to the nearest degree. The diagram is not to scale.

75

Find the measure of the minor arc

x=6, y=6

Find the missing measures. Write all radicals in simplest form.

9

Find the number of edges

5

Find the number of faces

4/3

Find the ratio of the perimeter of the larger rectangle to the perimeter of the smaller rectangle.

3

Find the scale factor of the dilation

1080

Find the sum of the measures of regular octagon.

452.39

Find the surface area of a sphere if the radius is 6 meters. Use 3.14 for pi. Round to the nearest square meter.

1130.97

Find the surface area of the cone to the nearest whole number. Use 3.14 for pi.

424

Find the surface area of the cylinder to the nearest square unit. Use 3.14 for pi. The diagram is not to scale.

220

Find the surface area of the solid. Round to the nearest tenth. The diagram is not to scale.

544.58

Find the surface area of the triangular prism. Round to the nearest hundredth if necessary.

430

Find the surface area. The diagram is not to scale.

81

Find the value of a

83

Find the value of b

99

Find the value of c

97

Find the value of d

x=88, y=93

Find the value of each variable

x=10, y=25.5

Find the value of each variable. The diagram is not to scale.

148

Find the value of x

50

Find the value of x

15

Find the value of x in the diagram.

15sqrt(3)

Find the value of x. Round to the nearest tenth if necessary.

18

Find the value of x. Round to the nearest tenth if necessary.

18.3

Find the value of x. Round to the nearest tenth. Diagram not to scale.

1436.76

Find the volume of a sphere if the diameter is 14 meters. Use 3.14 for pi. Round your answers to the nearest cubic meter.

294

Find the volume of the combined prisms.

198

Find the volume of the cylinder. Use 3.14 for pi and round your answer to the nearest cubic foot. The diagram is not to scale.

217.4

Find the volume of the hemisphere. Use 3.14 for pi and round to the nearest tenth.

1734

Find the volume of the pyramid. The diagram is not to scale.

108

Find the volume of the rectangular prism. The diagram is not to scale.

216

Find the volume of the solid. Round the answer to the nearest hundredth, if necessary. The diagram is not to scale.

1186.9

Find the volume of the solid. Round to the nearest tenth and use 3.14 for pi. The diagram is not to scale.

XY = 8

In the diagram, XY:YZ is 1:3 and XZ = 32. Find XY

24

In the diagram, XY:YZ is 1:3 and XZ = 32. Find YZ

Enlargement

Tell whether the dilation is a reduction or an enlargement.

tangent

Tell which word best describes the line or segment in the image.

29.7

Using your knowledge of special right triangles, find the length of the hypotenuse. Round to the nearest hundredth when necessary.

triangle DEF ~ triangle JKL, x=12

Write a similarity statement for the triangles and find the

x^2 + y^2 = 81

Write the equation for the circle

(x+1)^2 + (y+3)^2 = 36

Write the standard equation of the circle with center (-1, -3) and radius 6.

25

Find the measure of angle BAC

84

Find the measure of angle RQT

1.4

A rectangular pyramid has a volume of 42 cubic yards, a width of 10 yards and a length of 3 yards. What is the height of the pyramid?

3rd

An angle that is more than 180 degrees has a positive tangent ratio. In which quadrant is the angle?

SSS Similarity Theorem

Are the two triangles similar? If so, state the postulate or theorem that justifies your answer.

Rotation of 90 degrees counterclockwise about the origin.

Describe the transformation.

similar, triangle ABC ~triangle FED

Determine whether the two triangles are similar. If they are similar, write a similarity statement.

40

Find the area of the triangle

x=7.5, y=18.5

Find the lengths of the legs of the triangle. Round answers to the nearest tenth. The diagram is not to scale.

104

Find the measure of angle A in the diagram

70

Find the area (in square feet) of the triangle. It is not drawn to scale.

1.5386

Find the area of the circle

576sqrt(3)

Find the area of the equilateral triangle.

65

Find the area of the figure in square inches.

336

Find the area of the rhombus

2

Solve for x

x=30

Solve for x

8.5

The diameter of a circle is 17cm. Find the radius

2.85

The diameter of a circle is 5.7ft. Find the radius

Inside

The equation of a circle is shown. Is the point (6,0) ON, INSIDE, or OUTSIDE the circle?

18 square feet

The perimeter of a square is 72 feet. Find the area of the square in square feet.

90

The sum of the interior angles of a regular quadrilateral is 360 degrees. What is the measure of each angle?

0.5446

Use a calculator to approximate sin33 degrees to four decimal places.

28

Use a calculator to find the measure of the angle to the nearest degree. cosN=0.8829

BC/AC

Use the diagram to find the ratio for cosC

6.4

Use the diagram. Find AO to the nearest tenth.

r = 5

Use the diagram. Find r to the nearest tenth. The diagram is not to scale.

4.19

Use the image to find the length of arc AB and round to the nearest hundredth.

126

Use the image to find the measure of arc AC.

80

Use the information in the diagram to determine the height of the tree.

30

What acute angle (in Quadrant 1) has cosine ratio equal to sqrt(3)/2

0

What is the exact value of cos(90 degrees)

Undefined

What is the exact value of tan(270 degree)

Triangular pyramid

What shape will be made if this net is folded along the dotted lines?