Title: (Canvas - Quiz) Semester 2 Final Review
Course: HBUHSD Geometry Resource Course

Q: Determine whether each pair of actions results in independent or dependent events.
Roll a standard number cube. Then pick a marble out of a bag.
- Independent; the roll will affect the marble selection.
- Independent; the roll will not affect the marble selection.
- Dependent; the roll will affect the marble selection.
- Dependent; the roll will not affect the marble selection.
A: Independent; the roll will not affect the marble selection.

Q: Determine whether each pair of actions results in independent or dependent events.
Pick one marble out of a bag. Then, without replacing the marble, pick another marble.
- Independent; the first marble selection will not affect the second marble selection.
- Dependent; the first marble selection will not affect the second marble selection.
- Dependent; the first marble selection will affect the second marble selection.
- Independent; the first marble selection will affect the second marble selection.
A: Dependent; the first marble selection will affect the second marble selection.

Q: Given that two points on line m are P(10, 9) and Q(5, 1), write a ratio expressing the slope of m.
A: (a choice with no text)
If right: | Slope = = = | Substitute values from the coordinates, (10, 9) and (5, 1). = | Then simplify the expression.
If wrong: | Slope = = = | Substitute values from the coordinates, (10, 9) and (5, 1). = | Then simplify the expression.

Q: Solve the proportion .
- w =
- w =
- w =
- w =
A: w =
If right: 18(23w) = 1(18) | Cross Products Property 414w = 18 | Simplify. w = | Divide both sides by 414.
If wrong: 18(23w) = 1(18) | Cross Products Property 414w = 18 | Simplify. w = | Divide both sides by 414.

Q: Find the length of the missing side. Leave your answer in simplest radical
form.
- cm
- cm
- cm
- cm
A: cm

Q: Find the length of the hypotenuse.
- 12
- 6
- 5
- 18
A: 6

Q: Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
A: (a choice with no text)

Q: Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
- x = , y = 15
- x = , y = 30
- x = 30, y =
- x = 15, y =
A: x = , y = 30

Q: Find GH. Round to the nearest hundredth.
- GH = 32.08 in.
- GH = 15.07 in.
- GH = 22.46 in.
- GH = 26.28 in.
A: GH = 22.46 in.
If right: GH is the length of the hypotenuse of the triangle. You are given FH, which is adjacent to . Since the adjacent side and hypotenuse are involved, use the cosine ratio. | Write a trigonometric ratio. | Substitute the given values. | Multiply both sides by GH and divide by cos 35. in | Simplify the expression.
If wrong: GH is the length of the hypotenuse of the triangle. You are given FH, which is adjacent to . Since the adjacent side and hypotenuse are involved, use the cosine ratio. | Write a trigonometric ratio. | Substitute the given values. | Multiply both sides by GH and divide by cos 35. in | Simplify the expression.

Q: Find the value of x. Round to the nearest tenth.
- 4.3
- 2.9
- 8.7
- 2.5
A: 2.9

Q: Find the value of x. Round to the nearest degree.
- 61
- 58
- 28
- 32
A: 58

Q: Find the value of x. Round to the nearest tenth.
- 33
- 33.5
- 8.3
- 7.8
A: 33

Q: Find the area of the parallelogram.
- 440 in
- 176 in
- 264 in
- 352 in
A: 352 in
If right: Step 1 Use the Pythagorean Theorem to find the height h. Step 2 Use h to find the area of the parallelogram. | Area of a parallelogram | Substitute 22 for b and 16 for h. | Simplify.
If wrong: Step 1 Use the Pythagorean Theorem to find the height h. Step 2 Use h to find the area of the parallelogram. | Area of a parallelogram | Substitute 22 for b and 16 for h. | Simplify.

Q: Find the area of a trapezoid, in which
- 3 cm
- 19 cm
- 17 cm
- 34 cm
A: 17 cm
If right: | Area of a trapezoid | Substitute 7 for , 10 for , and 2 for h. | Simplify.
If wrong: | Area of a trapezoid | Substitute 7 for , 10 for , and 2 for h. | Simplify.

Q: Find the area of in terms of .
- 16
- 4
- 8
- 4
A: 4
If right: | Area of a circle | Divide the diameter by 2 to find the radius, 2, | Simplify.
If wrong: | Area of a circle | Divide the diameter by 2 to find the radius, 2, | Simplify.

Q: Find the area of a regular hexagon with side length 8 m. Round to the nearest tenth.
- 332.6 m
- 96 m
- 166.3 m
- 83.1 m
A: 166.3 m
If right: The perimeter is . The hexagon can be divided into 6 equilateral triangles with side length 8 m. By the 30°-60°-90° Triangle Theorem, the apothem is m. | Area of a regular polygon | Substitute for a and 48 for P. | Simplify.
If wrong: The perimeter is . The hexagon can be divided into 6 equilateral triangles with side length 8 m. By the 30°-60°-90° Triangle Theorem, the apothem is m. | Area of a regular polygon | Substitute for a and 48 for P. | Simplify.

Q: The radius of A is multiplied by . Describe the effect of the change on the area.
- The area is multiplied by 2.
- The area is multiplied by .
- There is no effect on the area.
- The area is multiplied by .
A: The area is multiplied by .
If right: original dimensions: in^2 | radius multiplied by : in^2 The area is multiplied by .
If wrong: original dimensions: in^2 | radius multiplied by : in^2 The area is multiplied by .

Q: Find the area of the triangle.
- 171 yd^2
- 14 yd^2
- 28 yd^2
- 85.5 yd^2
A: 85.5 yd^2

Q: A jewelry store buys small boxes in which to wrap items that they sell. The diagram below shows one of the boxes. Find the lateral area and the surface area of the box to the nearest whole number.
- 52 cm^; 299 cm^
- 104 cm^; 299 cm^
- 52 cm^; 234 cm^
- 104 cm^; 234 cm^
A: 104 cm^; 234 cm^

Q: Find the lateral area and surface area of the right cylinder. Give your answer in terms of .
- lateral area: ;
surface area:
- lateral area: ;
surface area:
- lateral area: ;
surface area:
- lateral area: ;
surface area:
A: lateral area: ;
surface area:
If right: Step 1 Find the lateral area for the cylinder. | Lateral area of a cylinder | Substitute. | Simplify. Step 2 Find the surface area for the cylinder. | Surface area of a cylinder | Substitute. | Simplify.
If wrong: Step 1 Find the lateral area for the cylinder. | Lateral area of a cylinder | Substitute. | Simplify. Step 2 Find the surface area for the cylinder. | Surface area of a cylinder | Substitute. | Simplify.

Q: is tangent to . If and , what is ?
The diagram is not to scale.
- 25
- 31
- 24
- 36
A: 24

Q: Write the standard equation for the circle.
center (–4, 2), r = 10
- (x – 4)^ + (y + 2)^ = 10
- (x – 2)^ + (y + 4)^ = 100
- (x + 4)^ + (y – 2)^ = 100
- (x + 4)^ + (y – 2)^ = 10
A: (x + 4)^ + (y – 2)^ = 100

Q: Use the process of completing the square to put the equation in the standard form of a circle to find the center and radius.
- circle; center (–2, –2); radius = 16
- circle; center (–2, –2); radius = 4
- circle; center (2, 2); radius = 16
- circle; center (2, 2); radius = 4
A: circle; center (–2, –2); radius = 4

Q: A spinner is numbered from 1 through 10 with each number equally likely to occur. What is the probability of obtaining a number less than 3 or greater than 8 in a single spin?
A: (a choice with no text)

Q: You roll a standard number cube. Find P(number is not 2).
A: (a choice with no text)

Q: Suppose S and T are mutually exclusive events, P(S) = 16%, and P(T) = 64%. Find P(S or T).
- 48%
- 1024%
- 80%
- 10.24%
A: 80%

Q: The contingency table shows the results of a survey of a certain forest. Find the probability that a randomly chosen tree will be a California redwood tree and taller than 300 ft.

Trees in Forest
Height of 300 ft | Over | Under | Totals
California Redwood | 35 | 130 | 165
Giant Sequoia | 30 | 130 | 160
Totals | 65 | 260 | 325
- 45.9%
- 8.2%
- 41.7%
- 4.1%
A: 4.1%

Q: The table shows the results of a survey of students in two math classes. The students were asked whether they watched more than one hour of TV the night before.
Find P(more than 1 hour of TV | 6th period class).

TV Survey Results
 | Yes | No
3rd period class | 8 | 7
6th period class | 15 | 8
- 55%
- 72.7%
- 57.9%
- 42.1%
A: 57.9%

Q: Each person in a group of college students was identified by graduating year and asked when he or she preferred taking classes: morning, afternoon, or evening. The results are shown in the table. Find the probability that the student preferred afternoon classes given he or she is a freshman.

Survey of Class Times
 | Freshman | Sophomore | Junior | Senior
Morning | 19 | 3 | 14 | 3
Afternoon | 11 | 16 | 9 | 19
Evening | 3 | 19 | 19 | 13
- 65.4%
- 8.3%
- 42.1%
- 61.5%
A: 61.5%

Q: To approach the runway, a small plane must begin a 7 descent starting from a height of 1586 feet above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach?
- 2.4 mi
- 2.5 mi
- 0.3 mi
- 13,013.9 mi
A: 2.5 mi