GEOMETRY SEMESTER 2 INSTRUCTIONAL MATERIALS
Courses: Geometry S2 (#2212) and Foundations in Geometry S2 (#7772)
2016-2017
Instructional Materials for WCSD Math Common Finals
The Instructional Materials are for student and teacher use and are aligned
to the 2016-2017 Course Guides for the following courses:
High School:
 Geometry S2 (#2212)
 Foundations in Geometry S2 (#7772)
When used as test practice, success on the Instructional Materials does not
guarantee success on the district math common final.
Students can use these Instructional Materials to become familiar with the
format and language used on the district common finals. Familiarity with
standards and vocabulary as well as interaction with the types of problems
included in the Instructional Materials can result in less anxiety on the part
of the students. The length of the actual final exam may differ in length
from the Instructional Materials.
Teachers can use the Instructional Materials in conjunction with the course
guides to ensure that instruction and content is aligned with what will be
assessed. The Instructional Materials are not representative of the depth
or full range of learning that should occur in the classroom.
*Students will be allowed to use a
non-programmable scientific calculator
on Geometry Semester 1 and
Geometry Semester 2 final exams.
Released 12/9/2016
GEOMETRY SEMESTER 2 INSTRUCTIONAL MATERIALS
2016-2017
Courses: Geometry S2 (#2212) and Foundations in Geometry S2 (#7772)
Geometry Reference Sheet
Note: You may use these formulas throughout this entire test.
Linear
Quadratic
𝑦2 − 𝑦1
𝑥2 − 𝑥1
Vertex-Form
𝑦 = 𝑎(𝑥 − h)2 + 𝑘
𝑥1 + 𝑥2 𝑦1 + 𝑦2
𝑀=(
,
)
2
2
Standard Form
𝑦 = 𝑎𝑥 2 + 𝑏𝑥 + 𝑐
𝑑 = √(𝑥2 − 𝑥1 )2 + (𝑦2 − 𝑦1 )2
Intercept Form
𝑦 = 𝑎(𝑥 − 𝑝)(𝑥 − 𝑞)
Slope
𝑚=
Midpoint
Distance
Slope-Intercept Form
𝑦 = 𝑚𝑥 + 𝑏
Exponential
(h, k) Form
Probability
𝑦 = 𝑎𝑏 𝑥−h + 𝑘
𝑃(𝐴 𝑎𝑛𝑑 𝐵) = 𝑃(𝐴) ∙ 𝑃(𝐵)
𝑃(𝐴 𝑎𝑛𝑑 𝐵) = 𝑃(𝐴) ∙ 𝑃(𝐵|𝐴)
𝑃(𝐴 𝑜𝑟 𝐵) = 𝑃(𝐴) + 𝑃(𝐵) − 𝑃(𝐴 𝑎𝑛𝑑 𝐵)
Volume and Surface Area
𝑉 = 𝜋𝑟 2 ℎ
4
𝑉 = 𝜋𝑟 3
3
𝑆𝐴 = 2(𝜋𝑟 2 ) + ℎ(2𝜋𝑟)
𝑆𝐴 = 4𝜋𝑟 2
1
1
𝑉 = 𝜋𝑟 2 ℎ
3
1
𝑆𝐴 = 𝜋𝑟 2 + (2𝜋𝑟 ∙ 𝑙)
2
Released 12/9/2016
𝑉 = 𝐵ℎ
3
1
𝑆𝐴 = 𝐵 + (𝑃𝑙)
2
Where 𝐵 =base area
and 𝑃 =base perimeter
GEOMETRY SEMESTER 2 INSTRUCTIONAL MATERIALS
Courses: Geometry S2 (#2212) and Foundations in Geometry S2 (#7772)
2016-2017
Multiple Choice: Identify the choice that best completes the statement or answers the
question. Figures are not necessarily drawn to scale.
1. The ratios of the areas of square A to square B is
what is the length of a side of square A?
2.
16
. If the area of square B is 100 𝑐𝑚2 ,
25
A. 4 𝑐𝑚
C. 10 𝑐𝑚
B. 8 𝑐𝑚
D. 64 𝑐𝑚
A statue of a Rubik’s Cube is built from a scale model. The scale of the model to the
statue is 6 𝑖𝑛𝑐ℎ𝑒𝑠 to 5 𝑓𝑒𝑒𝑡. What is the ratio of the volume of the model to the volume
of the actual statue in cubic feet?
A.
1: 1000
B.
1: 10
C.
216: 125
D.
6: 5
3. What is the scale factor of the dilation of ∆𝐴𝐵𝐶 to image ∆𝐴′𝐵′𝐶′ ?
A. −2
B. 1
C. 2
D. 3
Released 12/9/2016
GEOMETRY SEMESTER 2 INSTRUCTIONAL MATERIALS
Courses: Geometry S2 (#2212) and Foundations in Geometry S2 (#7772)
2016-2017
4. Apply the dilation 𝐷: (𝑥, 𝑦) → (4𝑥, 4𝑦) to the polygon with the given vertices. Name the
coordinates of the image points.
A. 𝐴′ (8, 4), 𝐵 ′ (16, 4), 𝐶 ′ (16, −12)
B. 𝐴′ (8, 4), 𝐵 ′ (16, 4), 𝐶 ′ (16, 12)
C. 𝐴′ (0.5, 0.25), 𝐵 ′ (1, 0.25), 𝐶 ′ (1, −0.75)
D. 𝐴′ (0.5, 0.25), 𝐵 ′ (1, 0.25), 𝐶 ′ (1, 0.75)
5. What is the value for 𝑥 ?
A. 𝑥 = 18
B. 𝑥 = 16
C. 𝑥 = 12
D. 𝑥 = 3
̅̅̅̅ ?
6. In the figure below, what is the length of 𝐴𝐵
A. 𝐴𝐵 = 7
B. 𝐴𝐵 = 11
C. 𝐴𝐵 = 16
D. 𝐴𝐵 = 20
Released 12/9/2016
GEOMETRY SEMESTER 2 INSTRUCTIONAL MATERIALS
Courses: Geometry S2 (#2212) and Foundations in Geometry S2 (#7772)
2016-2017
7. Two triangles are similar and the ratio of each pair of corresponding sides is 2: 1 . Which
statement regarding the two triangles is not true?
A. Their perimeters have a ratio of 2: 1
B. The scale factor is a ratio of 2: 1
C. Their corresponding angles have a ratio of 2: 1
D. Their areas have a ratio of 4: 1
8. What is the value of 𝑛 ?
A. 𝑛 = 39
B. 𝑛 = 54
C. 𝑛 = 63
D. 𝑛 = 90
9. In ∆𝐿𝑀𝑁, 𝑆 is the midpoint of ̅̅̅̅
𝐿𝑀, 𝑇 is the midpoint of ̅̅̅̅̅
𝑀𝑁, and R is the midpoint of ̅̅̅̅
𝐿𝑁.
Given the following, what is the perimeter of ∆𝑅𝑆𝑇 ?
 𝐿𝑆 = 8.2𝑥
 𝑆𝑇 = 4.3𝑥
 𝑀𝑁 = 6𝑥
A. 11.4𝑥
B. 15.5𝑥
C. 18.4𝑥
D. 18.5𝑥
Released 12/9/2016
GEOMETRY SEMESTER 2 INSTRUCTIONAL MATERIALS
Courses: Geometry S2 (#2212) and Foundations in Geometry S2 (#7772)
2016-2017
10. Use the diagram to find the values of x and y.
A. 𝑥 = 5√15, 𝑦 = 20√5
B. 𝑥 = 5√15, 𝑦 = 10√5
C. 𝑥 = 5√5, 𝑦 = 20√5
D. 𝑥 = 5√5, 𝑦 = 10√5
11. Three students were asked to explain which transformations map the pre-image of ∆𝑋𝑌𝑍
onto the image ∆𝑋′𝑌′𝑍 in the diagram below.
Based on the following responses, whose reasoning is correct?
 Jason says the image is result of translating the pre-image along the vector ⟨1, −2⟩
and performing a dilation with a scale factor of 3.

Sanjay says the pre-image is rotated 180° about the origin and dilated
by a scale factor of 3.

Teresa says the image is a result of applying the rule (𝑥, 𝑦) → (3(𝑥 + 1), 3(𝑦 − 2)).
A.
Jason and Teresa are correct.
B.
Sanjay and Jason are correct.
C.
Only Jason is correct.
D.
Jason, Sanjay, and Teresa are all correct.
Released 12/9/2016
GEOMETRY SEMESTER 2 INSTRUCTIONAL MATERIALS
Courses: Geometry S2 (#2212) and Foundations in Geometry S2 (#7772)
2016-2017
12. In the right triangle, 𝑥 and 𝑦 represent unknown side lengths.
What is the length of side 𝑥 ?
A. 2
B. 4
C. 2√3
D. 3√2
13. In the figure, what is the distance a ball travels when thrown from second base to home
plate?
A. 90 𝑓𝑒𝑒𝑡
B. 180 𝑓𝑒𝑒𝑡
C. 90√2 𝑓𝑒𝑒𝑡
D. 2√90 𝑓𝑒𝑒𝑡
14. What is cos 𝑥° in the triangle?
A.
40
41
C.
41
9
B.
9
41
D.
9
40
Released 12/9/2016
GEOMETRY SEMESTER 2 INSTRUCTIONAL MATERIALS
Courses: Geometry S2 (#2212) and Foundations in Geometry S2 (#7772)
2016-2017
15. Which of the following has the same value as sin 𝑀 ?
A. sin 𝑁
B. tan 𝑀
C. cos 𝑁
D. cos 𝑀
16. What is the measure of angle A in the triangle, rounded to the nearest degree?
A. 35°
B. 44°
C. 46°
D. 72°
17. A person is standing at ground level with the base of the Empire State Building in New
York City. The angle formed by the ground and a line segment from his position to the
top of the building is 48.4°. The height of the Empire State Building is 1472 feet. Find
the distance that he is standing from the base of the Empire State Building to the nearest
foot.
A. 8 𝑓𝑒𝑒𝑡
C. 1968 𝑓𝑒𝑒𝑡
B. 1307 𝑓𝑒𝑒𝑡
D. 2217 𝑓𝑒𝑒𝑡
18. Find the value of x in the diagram below. Round your answers to the nearest tenth if
necessary.
A. 𝑥 = 12.2
B. 𝑥 = 13.1
C. 𝑥 = 24.5
D. 𝑥 = 26.2
Released 12/9/2016
GEOMETRY SEMESTER 2 INSTRUCTIONAL MATERIALS
2016-2017
Courses: Geometry S2 (#2212) and Foundations in Geometry S2 (#7772)
19. Three students were asked to find the value of x in the diagram below.
The first step of each student’s work is shown below. Determine which student(s) set up
the problem correctly.
Lewis
cos 26 =
Alexa
𝑥
16
tan 26 =
Miranda
7
𝑥
sin 64 =
16
𝑥
A. Lewis, Alexa, and Miranda
B. Miranda and Alexa
C. Lewis and Miranda
D. Lewis and Alexa
20. In a large city, a circle with a radius of 3 𝑚𝑖𝑙𝑒𝑠 contains a population of 30,348 people.
What is the expected population of a circle with a 4 𝑚𝑖𝑙𝑒 radius in the same city?
A. 121,392 𝑝𝑒𝑜𝑝𝑙𝑒
C. 53,952 𝑝𝑒𝑜𝑝𝑙𝑒
B. 91,044 𝑝𝑒𝑜𝑝𝑙𝑒
D. 40,464 𝑝𝑒𝑜𝑝𝑙𝑒
21. What is the area of a regular hexagon with an apothem of 10 𝑐𝑚
and a side length of
A. 200√3 𝑐𝑚2
B. 300√3 𝑐𝑚2
C. 600√3 𝑐𝑚2
D. 600 𝑐𝑚2
Released 12/9/2016
20√3
3
𝑐𝑚 ?
GEOMETRY SEMESTER 2 INSTRUCTIONAL MATERIALS
Courses: Geometry S2 (#2212) and Foundations in Geometry S2 (#7772)
2016-2017
22. Given that the side of the regular pentagon is 8 𝑓𝑡, what is the approximate area of the
shaded triangle?
A. 11 𝑓𝑡 2
B. 22 𝑓𝑡 2
C. 8√3 𝑓𝑡 2
D. 16√3 𝑓𝑡 2
23. What best describes the cross section shown on the cube?
A. square
C.
trapezoid
B. triangle
D.
rectangle
24. A layered cake is a solid of revolution. Which of the following is the drawing of a twodimensional shape and an axis of rotation that could form the cake?
A.
C.
B.
D.
Released 12/9/2016
GEOMETRY SEMESTER 2 INSTRUCTIONAL MATERIALS
Courses: Geometry S2 (#2212) and Foundations in Geometry S2 (#7772)
2016-2017
25. Jamal wants to fill a container with two different colors of sand for an art project. The
container is 9 𝑖𝑛𝑐ℎ𝑒𝑠 tall and has a regular polygon base. He is going to fill part of the
container with 10 𝑖𝑛3 of blue sand. How much green sand does Jamal need to purchase
to fill the rest of the container? Round your answer to the nearest tenth if necessary.
A. 36.8 𝑖𝑛3
B. 44 𝑖𝑛3
C. 46.8 𝑖𝑛3
D. 54 𝑖𝑛3
26. Compare the volumes of the cone and the regular pyramid below. Which statement is
true?
ℎ𝑒𝑖𝑔ℎ𝑡 12 𝑖𝑛𝑐ℎ𝑒𝑠
𝑟𝑎𝑑𝑖𝑢𝑠 7 𝑖𝑛𝑐ℎ𝑒𝑠
ℎ𝑒𝑖𝑔ℎ𝑡 7 𝑖𝑛𝑐ℎ𝑒𝑠
𝑠𝑖𝑑𝑒 𝑙𝑒𝑛𝑔𝑡ℎ 12 𝑖𝑛𝑐ℎ𝑒𝑠
A. The volume of the pyramid is about 140 𝑖𝑛3 more than the volume of the cone.
B. The volume of the cone is about 279.8 𝑖𝑛3 more than the volume of the pyramid.
C. The volume of the cone is about 531.8 𝑖𝑛3 more than the volume of the pyramid.
D. The volume of the cone is about 112 𝑖𝑛3 more than the volume of the pyramid.
Released 12/9/2016
GEOMETRY SEMESTER 2 INSTRUCTIONAL MATERIALS
Courses: Geometry S2 (#2212) and Foundations in Geometry S2 (#7772)
2016-2017
27. A tanker truck can carry 3,000 𝑔𝑎𝑙𝑙𝑜𝑛𝑠 of fuel and is going to fill an empty cylindrical
gas tank with a height of 4 𝑓𝑒𝑒𝑡. The operator doesn’t know the radius of the tank and is
unsure whether the tank will be able to hold all of the fuel. When the height of the fuel in
the tank reaches 1 𝑓𝑜𝑜𝑡, the operator looks at the pumping gauge and determines that
approximately 846 𝑔𝑎𝑙𝑙𝑜𝑛𝑠 of fuel were pumped into the tank. Based on this
information, will the tank hold all 3,000 𝑔𝑎𝑙𝑙𝑜𝑛𝑠 of fuel? Explain.
A. Yes, the tank can hold a total of 4,280 𝑔𝑎𝑙𝑙𝑜𝑛𝑠 of fuel.
B. Yes, the tank can hold a total of 3,384 𝑔𝑎𝑙𝑙𝑜𝑛𝑠 of fuel.
C. No, the tank can only hold a total of 2,538 𝑔𝑎𝑙𝑙𝑜𝑛𝑠 of fuel.
D. No, the tank can only hold a total of 2,154 𝑔𝑎𝑙𝑙𝑜𝑛𝑠 of fuel.
Released 12/9/2016
GEOMETRY SEMESTER 2 INSTRUCTIONAL MATERIALS
2016-2017
Courses: Geometry S2 (#2212) and Foundations in Geometry S2 (#7772)
28.
Three students were asked to find the volume of a cylinder with a hemisphere removed
from one end.
Each student’s work is shown below. Determine which student is correct.
Student X
Student Y
Student Z
1 4
𝑉𝑜𝑙𝑢𝑚𝑒 = 𝜋𝑟 2 ℎ − ( 𝜋𝑟 3 )
2 3
1
4
= 𝜋 ∙ 52 ∙ 6 − ( 𝜋 ∙ 53 )
2 3
1 500
= 150𝜋 − (
𝜋)
2 3
250
= 150𝜋 −
𝜋
3
200
=
𝜋 𝑖𝑛3
3
4
𝑉𝑜𝑙𝑢𝑚𝑒 = 𝜋𝑟 2 ℎ − 𝜋𝑟 3
3
4
= 𝜋 ∙ 32 ∙ 10 − 𝜋 ∙ 33
3
1 4
𝑉𝑜𝑙𝑢𝑚𝑒 = 𝜋𝑟 2 ℎ − ( 𝜋𝑟 3 )
2 3
1 4
= 𝜋 ∙ 32 ∙ 10 − ( 𝜋 ∙ 33 )
2 3
1
= 90𝜋 − (36𝜋)
2
= 90𝜋 − 36𝜋
= 54𝜋 𝑖𝑛3
= 90𝜋 − 18𝜋
= 72𝜋 𝑖𝑛3
A. Student X is correct.
B. Student Y is correct.
C. Student Z is correct.
D. None of the students is correct.
29. What is the height of a square pyramid that has a side length of 13 𝑓𝑒𝑒𝑡 and a volume of
1521 𝑓𝑡 3 ?
A. ℎ = 3 𝑓𝑒𝑒𝑡
C. ℎ = 27 𝑓𝑒𝑒𝑡
B. ℎ = 9 𝑓𝑒𝑒𝑡
D. ℎ = 39 𝑓𝑒𝑒𝑡
Released 12/9/2016
GEOMETRY SEMESTER 2 INSTRUCTIONAL MATERIALS
Courses: Geometry S2 (#2212) and Foundations in Geometry S2 (#7772)
2016-2017
30. A food manufacturer sells yogurt in cone shaped cups with the dimensions shown.
To the nearest tenth, how many fluid ounces of yogurt does the cup hold if
1 𝑐𝑚3 ≈ 0.034 𝑓𝑙 𝑜𝑧 ?
A. 0.6 𝑓𝑙 𝑜𝑧
B. 5.7 𝑓𝑙 𝑜𝑧
C. 17.1 𝑓𝑙 𝑜𝑧
D. 22.8 𝑓𝑙 𝑜𝑧
31.
What is the volume of the sphere in terms of 𝑥 ?
A. 36𝜋𝑥 3 𝑓𝑡 3
B. 48𝜋𝑥 3 𝑓𝑡 3
C. 288𝜋𝑥 3 𝑓𝑡 3
D. 864𝜋𝑥 3 𝑓𝑡 3
32. You want to design a cylindrical container for oatmeal that has a volume of 90 𝑖𝑛3 . You
also want the height of the container to be 3.5 times the radius. To the nearest tenth,
what should the approximate radius of the container be?
A. 2.0 𝑖𝑛
C. 3.0 𝑖𝑛
B. 2.9 𝑖𝑛
D. 3.1 𝑖𝑛
Released 12/9/2016
GEOMETRY SEMESTER 2 INSTRUCTIONAL MATERIALS
Courses: Geometry S2 (#2212) and Foundations in Geometry S2 (#7772)
2016-2017
33. Given mAC = mBC and ∠𝐴𝐷𝐵 is a central angle, what is the value of 𝑥 and BC ?
A. 𝑥 = 18, mBC = 136°
B. 𝑥 = 9.2, mBC = 88°
C. 𝑥 = 18, mBC = 88°
D. 𝑥 = 9.2, mBC = 136°
34. In the figure below, ∠𝑄𝑃𝑅 is a circumscribed angle. Find the value of x.
A. 𝑥 = 3.5
B. 𝑥 = 5
C. 𝑥 = 8.5
D. 𝑥 = 12
35. What is the measure of RS ?
A. 54°
B. 38°
C. 32°
D. 27°
Released 12/9/2016
GEOMETRY SEMESTER 2 INSTRUCTIONAL MATERIALS
Courses: Geometry S2 (#2212) and Foundations in Geometry S2 (#7772)
2016-2017
36. What is the measure of the inscribed angle (𝑥), if the ray is tangent to the circle?
A. 140°
B. 110°
C. 70°
D. 55°
37. What is the length of the minor arc AB in the circle with a radius of 45 𝑐𝑚 ?
A. 20𝜋 𝑐𝑚
B. 10𝜋 𝑐𝑚
C. 5𝜋 𝑐𝑚
D. 2𝜋 𝑐𝑚
38. What is the area of a circular pool that has a circumference of 100𝜋 𝑓𝑒𝑒𝑡 ?
A. 10𝜋 𝑓𝑡 2
C. 100𝜋 𝑓𝑡 2
B. 50𝜋 𝑓𝑡 2
D. 2500𝜋 𝑓𝑡 2
39. The diameter of a circular pizza pan is 18 𝑖𝑛𝑐ℎ𝑒𝑠. Two-thirds of the pizza is eaten by
your friends. What is the approximate area of the pizza pan that is covered by the
remaining pizza?
A. 170 𝑖𝑛2
C. 54 𝑖𝑛2
B. 85 𝑖𝑛2
D. 27 𝑖𝑛2
Released 12/9/2016
GEOMETRY SEMESTER 2 INSTRUCTIONAL MATERIALS
Courses: Geometry S2 (#2212) and Foundations in Geometry S2 (#7772)
40.
2016-2017
A circle has an arc length of 10 𝑓𝑒𝑒𝑡. The central angle formed is 60°. What is the
area of the sector? (Hint: find the radius first)
150 2
𝑓𝑡
𝜋
𝜋
B.
𝑓𝑡 2
150
A.
C.
𝜋
𝑓𝑡 2
360
D.
900 2
𝑓𝑡
𝜋
41. A large circular cake is cut into the pieces shown below. If a person asks for a smaller
piece of cake, which piece of cake should you serve them? Explain.
A. You should serve them piece A because it has an area 0.5𝜋 𝑖𝑛2 less than piece B.
B. You should serve them piece A because it has an area 3.5𝜋 𝑖𝑛2 less than piece B.
C. You should serve them piece B because it has an area 1.75𝜋 𝑖𝑛2 less than piece A.
D. You should serve them piece B because it has an area 8𝜋 𝑖𝑛2 less than piece A.
42. Given the square inside the circle with radius 6. What is the probability that the point
lies inside the square, if a point is chosen at random inside the circle?
A.
72 − 36𝜋
𝜋
C.
√2
𝜋
B.
2−𝜋
𝜋
D.
2
𝜋
Released 12/9/2016
GEOMETRY SEMESTER 2 INSTRUCTIONAL MATERIALS
Courses: Geometry S2 (#2212) and Foundations in Geometry S2 (#7772)
43.
2016-2017
A grab bag contains 7 football cards and 3 basketball cards. An experiment consists of
taking one card out of the bag, then selecting another card. What is the probability of
selecting a football card, replacing it, and then selecting a basketball card? If necessary,
round answers to the nearest hundredth.
A. 0.23
C. 0.21
B. 0.09
D. 0.49
44. A bag contains hair ribbons for a spirit rally. The bag contains 5 black ribbons and 7
green ribbons. Lila selects a ribbon at random, then Jessica selects a ribbon at random
from the remaining ribbons. Find the probability that both events 𝐴 and 𝐵 occur. Which
is the correct answer in simplest fraction form?
𝐸𝑣𝑒𝑛𝑡 𝐴: 𝐿𝑖𝑙𝑎 𝑠𝑒𝑙𝑒𝑐𝑡𝑠 𝑎 𝑏𝑙𝑎𝑐𝑘 𝑟𝑖𝑏𝑏𝑜𝑛.
𝐸𝑣𝑒𝑛𝑡 𝐵: 𝐽𝑒𝑠𝑠𝑖𝑐𝑎 𝑠𝑒𝑙𝑒𝑐𝑡𝑠 𝑎 𝑔𝑟𝑒𝑒𝑛 𝑟𝑖𝑏𝑏𝑜𝑛.
A.
7
33
C.
35
132
B.
35
144
D.
5
22
45. The table shows the distribution of male and female students and left- and right-handed
students in the math club. Find the probability that a female student selected at random is
left-handed. Which is the correct answer as a fraction in simplest form?
Male
Female
Left-handed
2
6
Right-handed
35
36
A.
3
4
C.
1
6
B.
1
7
D.
6
79
Released 12/9/2016
GEOMETRY SEMESTER 2 INSTRUCTIONAL MATERIALS
2016-2017
Courses: Geometry S2 (#2212) and Foundations in Geometry S2 (#7772)
46. The table shows the distribution of the labor force in the United States in the year 2000.
Suppose that a worker is selected at random. Find the probability of randomly selecting a
worker in the Industry field given that the worker is female. Which is the correct answer
as a decimal rounded to the nearest thousandth?
Male
Female
Agriculture
3,132,000
667,000
Industry
25,056,000
8,004,000
A. 0.141
C. 0.121
B. 0.242
D. 0.312
Services
50,112,000
57,362,000
47. Events 𝐴 and 𝐵 are independent. Find the missing probability.
𝑃(𝐴) =_______
𝑃(𝐵) = 0.3
𝑃(𝐴 𝑎𝑛𝑑 𝐵) = 0.06
A. 0.7
C. 0.2
B. 0.24
D. 0.3
48. If 𝑃(𝐴) = 0.43 and 𝑃(𝐵|𝐴) = 0.89, find 𝑃(𝐴 𝑎𝑛𝑑 𝐵).
A. 0.51
C. 0.11
B. 0.48
D. 0.38
49. The sections on a spinner are numbered from 1 through 8. If the probability of landing on
a given section is the same for all the sections, what is the probability of spinning a
number less than 4 or greater than 7 in a single spin?
A.
1
2
C.
3
8
B.
1
8
D.
5
8
Released 12/9/2016
GEOMETRY SEMESTER 2 INSTRUCTIONAL MATERIALS
Courses: Geometry S2 (#2212) and Foundations in Geometry S2 (#7772)
2016-2017
50. A certain disease occurs in 4% of the population. A blood test for this disease shows a
false positive 12% of the time. That means a test will show positive given that the person
does not have the disease. What is the probability that a person tests positive but does not
have the disease?
A. 0.12
C. 0.1152
B. 0.125
D. 0.0048
51. If constructing a circumscribed circle, which of the following intersect at a common
point?
A. angle bisectors
B. perpendicular bisectors
C. medians
D. midpoints
52. When constructing an inscribed polygon, which of the following tools should be used to
place the vertices of the polygon on the circle?
A. a string
B. protractor
C. compass
D. none of the above
Released 12/9/2016
GEOMETRY SEMESTER 2 INSTRUCTIONAL MATERIALS
Courses: Geometry S2 (#2212) and Foundations in Geometry S2 (#7772)
53. Find the angle measures of 𝐴𝐵𝐶𝐷.
A. 𝑚∠𝐴 = 71°
𝑚∠𝐵 = 54°
𝑚∠𝐶 = 109°
𝑚∠𝐷 = 126°
C. 𝑚∠𝐴 = 35°
𝑚∠𝐵 = 134°
𝑚∠𝐶 = 145°
𝑚∠𝐷 = 54°
B. 𝑚∠𝐴 = 34°
𝑚∠𝐵 = 54°
𝑚∠𝐶 = 146°
𝑚∠𝐷 = 126°
D. 𝑚∠𝐴 = 71°
𝑚∠𝐵 = 50°
𝑚∠𝐶 = 109°
𝑚∠𝐷 = 130°
54. Which circle is inscribed in the triangle?
A. Circle 𝑋
B. Circle 𝑌
C. Circle 𝑍
D. All of the above
Released 12/9/2016
2016-2017
GEOMETRY SEMESTER 2 INSTRUCTIONAL MATERIALS
Courses: Geometry S2 (#2212) and Foundations in Geometry S2 (#7772)
2016-2017
55. The diagram below shows the construction of the center of the circle circumscribed about
∆𝐴𝐵𝐶. Which construction does this figure represent?
A. The intersection of the angle bisectors of ∆𝐴𝐵𝐶
B. The intersection of the medians of ∆𝐴𝐵𝐶
C. The intersection of the altitudes of ∆𝐴𝐵𝐶
D. The intersection of the perpendicular bisectors of ∆𝐴𝐵𝐶
56. Which geometric principle is used in the construction shown below?
A. The intersection of the angle bisectors of a triangle is the center
of the inscribed circle.
B. The intersection of the angle bisectors of a triangle is the center of the
circumscribed circle.
C. The intersection of the medians of a triangle is the center of the
inscribed circle.
D. The intersection of the medians of a triangle is the center of the
circumscribed circle.
Released 12/9/2016
GEOMETRY SEMESTER 2 INSTRUCTIONAL MATERIALS
2016-2017
Courses: Geometry S2 (#2212) and Foundations in Geometry S2 (#7772)
Geometry Semester 2 Instructional Material Answers 2016-17
Unit 8
Unit 9
Unit 10
Unit 11
Unit 12
Unit 13
Unit 14
1.
B
12. B
20. C
25. A
33. A
42. D
51. B
2.
A
13. C
21. A
26. B
34. B
43. C
52. C
3.
D
14. A
22. B
27. B
35. C
44. C
53. A
4.
A
15. C
23. C
28. C
36. B
45. B
54. A
5.
A
16. C
24. D
29. C
37. B
46. C
55. D
6.
D
17. B
30. B
38. D
47. C
56. A
7.
C
18. D
31. C
39. B
48. D
8.
D
19. D
32. A
40. A
49. A
9.
B
41. A
50. C
10. D
11. A
Released 12/9/2016