a guide to preparing for the honors geometry...

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A Guide to Preparing for the

Honors Geometry Midterm Exam

- Chapter 1 Sections 1-5, 7, 8

- Chapter 2 Sections 1-6

- Chapter 3 Sections 1-5, 7, 8

- Chapter 4 Sections 1-7

- Chapter 5 Sections 1, 2, 6

1. Notes and Homework

Your notes and your textbook are the primary tools for preparing for this comprehensive test. If

you have consistently taken thorough notes, practiced problems in class, and completed/corrected

your homework assignments, then the BEST POSSIBLE PREPARATION is to review all of this

information carefully. A semester of school work cannot be reduced to a single study guide.

2. The Study Guide

A study guide is meant to be an outline of possible exam topics; it is not a replica of the exam

questions or style. The totality of topics covered in the first 90 school days cannot be summarized

on a couple pieces of paper; however this study guide is made to help refresh your skills in

preparation for the exam.

3. Tests and Quizzes

The design of the midterm will be consistent with the tests you have received throughout the year.

Consequently, it will benefit you to study your previous exams in preparation for the midterm. It

is important to know that the midterm is a timed test and is created for an honors level student

who has worked to master the material of the class. Open response questions, being worth more

than multiple choice questions, should be a priority when taking the exam and test pacing

SHOULD BE PRACTICED as unanswered questions will be marked incorrect.

4. Studying for the exam:

- Review: Consider all of the above categories, complete the study guide, review your old

homework sets and formulate a list of SPECIFIC questions.

- Seek help: Friends, study groups, teachers, and pearsonsuccessnet are all resources you have

at your disposal. Ultimately, if you are able to find the answer to your own question you are

more likely remember it on the day of the test. Therefore, the first question you want to ask

ANYONE when you are seeking help is, “do you know where I could find the information to

answer this question?”

- Flash cards: Whether you have noticed it, or not, we have covered over 100 subject-specific

vocabulary terms, definitions, postulates, and theorems in the past four months. If you do not

understand a question, it is very hard to answer it. Create a stack of flash cards with the terms

that will require more studying.

- PLEASE NOTE: It is each student’s responsibility to allocate time in preparation for the

midterm exam. DO NOT wait to the last days before the exam to start studying! Teachers are

a resource to guide your studying, be sure that if you plan on meeting with your teacher that

your questions are specific and prepared ahead of meeting with them.

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Honors Geometry Midterm Study Guide

Mrs. Silva and Mr. Voci

____ 1. What is the value of x?

38°

Drawing not to scale

2121

xº

a. 76° b. 142° c. 152° d. 71°

____ 2. When the net is folded into the rectangular prism shown beside it, which letters will be on the front and back

of the rectangular prism?

L

M

N

O

P Q

M

Q

a. The letter on the front will be L.

The letter on the back will be O.

b. The letter on the front will be O.

The letter on the back will be N.

c. The letter on the front will be N.

The letter on the back will be L.

d. The letter on the front will be N.

The letter on the back will be O.

____ 3. If and , which additional statement does NOT allow you to conclude that

?

a. c. b. d.

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____ 4. How are the two angles related?

74°

106°


a. complementary c. vertical

b. adjacent d. supplementary

____ 5. Ken is adding a ribbon border to the edge of his kite. Two sides of the kite measure 9.5 inches, while the other

two sides measure 17.8 inches. How much ribbon does Ken need?

a. 45.1 in. b. 54.6 in. c. 27.3 in. d. 36.8 in.

____ 6. Which three lengths could be the lengths of the sides of a triangle?

a. 21 cm, 7 cm, 6 cm c. 12 cm, 5 cm, 17 cm

b. 9 cm, 22 cm, 11 cm d. 10 cm, 15 cm, 24 cm

____ 7. R, S, and T are the vertices of one triangle. E, F, and D are the vertices of another triangle.

RS = 4, and EF = 4. Are the two triangles congruent? If yes, explain and

tell which segment is congruent to

a. yes, by ASA;

b. yes, by AAS;

c. yes, by SAS;

d. No, the two triangles are not congruent.

____ 8. Which congruence statement does NOT necessarily describe the triangles shown if

E G

D F H

a. c. b. d.

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____ 9. Name the plane represented by the front of the box.

a. FBC b. FKG c. FEC d. BAD

____ 10. Given and , find and

a. 22 b. 10 c. 25 d. 11

____ 11. What is the length of ?

0 2 4 6 8 100–2–4–6–8–10

A B C D

a. 7 b. 17 c. 1 d. 15

____ 12. Each unit on the map represents 5 miles. What is the actual distance from Oceanfront to Seaside?

OceanfrontLandview

Seaside

2 4 6 8–2–4–6–8 x

2

4

6

8

–2

–4

–6

–8

y

a. about 8 miles c. about 40 miles

b. about 10 miles d. about 50 miles

____ 13. Which statement is true?

a. are same-side angles.

b. are same-side angles.

c. are alternate interior angles.

d. are alternate interior angles.

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____ 14. What additional information will allow you to prove the triangles congruent by the HL Theorem?

A

E

B

D

C

|

|

a. c. b. d.

____ 15. Find the value of x. The diagram is not to scale.

T U

(3x – 50)° (7x)°

S

R

||

a. b. c. d. none of these

____ 16. ____ two points are collinear.

a. No b. Sometimes c. Any

____ 17. Which statement is the Law of Syllogism?

a. If and are true statements, then is a true statement.

b. If is a true statement and q is true, then p is true.

c. If is a true statement and p is true, then q is true.

d. If and are true statements, then is a true statement.

____ 18. Write an equation in point-slope form of the line through point J(10, –1) with slope 7.

a. c.

b. d.

____ 19. A high school soccer team is going to Columbus, Ohio to see a professional soccer game. A coordinate grid is

superimposed on a highway map of Ohio. The high school is at point (3, 4) and the stadium in Columbus is at

point (7, 1). The map shows a highway rest stop halfway between the cities. What are the coordinates of the

rest stop? What is the approximate distance between the high school and the stadium? (One unit 6.4 miles.)

a. , 160 miles

c. , 16 miles

b. , 32 miles

d. , 5 miles

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____ 20. Which three-dimensional figure matches this net?

a.

c.

b. d.

____ 21. Match the isometric drawing with the correct orthographic drawing.

a. c.

b. d.

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____ 22. Which statement is not necessarily true?

Given: is the bisector of

J L

E

D

K

a. c. DK = KE

b. K is the midpoint of . d. DJ = DL

Open Response Practice

23. If is opposite and is opposite , what can you conclude? Explain.

24. A tennis court has a baseline at each end. One is labeled in the picture. Which part of the tennis court is

equidistant from the midpoints of the two baselines? Explain.

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25. What is the value of x? Identify the missing justifications.

, , and .

Q

P

QQ SQ

R


a. __________

x – 7 + x + 3 = 100 b. Substitution Property

2x – 4 = 100 c. Simplify

2x = 104 d. __________

x = 52 e. Division Property of Equality

26. What is the intersection of plane WZVS and plane STUV?

27. What segment is congruent to ?

0 2 4 6 80–2–4–6–8

A EB C D

28. The complement of an angle is 35°. What is the measure of the angle?

29. If , what are the congruent corresponding parts?

N P

M O Q

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30. Identify the hypothesis and conclusion of this conditional statement:

If tomorrow is Monday, then yesterday was Saturday.

31. What is an equation in slope-intercept form for the line given?

(–1, 3)(3, 2)

2 4 6 8–2–4–6–8 x

2

4

6

8

–2

–4

–6

–8

y

32. If , find the value of x. The drawing is not to scale.

E GF

33. M is the midpoint of for the points C(6, 3) and F(8, 5). Find MF.

34. Are the triangles congruent? Justify your answer.

35. Find the value of x for which l is parallel to m. The diagram is not to scale.

l

m

163°

x -4 17 )º(

36. What is a counterexample for the conjecture?

Conjecture: Any number that is divisible by 6 is also divisible by 12.

37. Find the perimeter of parallelogram ABCD with vertices A(–5, 6), B(2, 6), C(1, –2), and D(8, –2).

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38. Draw a net for the figure shown. Label the net with its dimensions.

39. Complete the statement.

The drawing is not to scale.

If 84º, then ? .

40. Name an angle supplementary to

41. Explain how you can use SSS, SAS, ASA, or AAS with the definition of congruent triangles to complete a

proof.

Given:

Prove:

N

M

P

O

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42. Find The diagram is not to scale.

Q

78°

39°

R

43. Find the coordinates of the midpoint of the segment whose endpoints are H(9, 14) and K(3, 12).

44. How many cubes would you use to make the structure below?

45. What is the value of x?

(3x – 10)º

95


º

46. and are a linear pair. , and . Find the measure of each angle.

47. What other information do you need in order to prove the triangles congruent using the SAS Congruence

Postulate?

A

B C D

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48. If the perimeter of a square is 104 inches, what is its area?

49. Find the value of x. The diagram is not to scale.

37

37

28 28

31

x

50. If , and , find the degree measure of

The diagram is not to scale.

51. What is the equation in point-slope form for the line parallel to y = 3x – 13 that contains P(0, 4)?

52. Separate and redraw and . Identify any common angles or sides.

C

G

A EB D

FF

53. Vernon is making a container, as shown below, for shipping an odd-shaped item. Draw a net for the container.

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54. Complete the proof by providing the missing reasons.

Given: ,

Prove:

C

A

D

B E

Statement Reason

1. , , and 1. Given

2. are right angles 2. Definition of perpendicular segments

3. 3. ?

4. 4. ?

5. 5. ?

55. Use the information in the diagram to determine the measure of the angle formed by the line from the point on

the ground to the top of the building and the side of the building. The diagram is not to scale.

54º

56. Two sides of a triangle have lengths 8 and 18. What must be true about the length of the third side?

57. Name the line and plane shown in the diagram.

X

Y

V

W

[]

58. Is by HL? If so, name the legs that allow the use of HL.

A

B

C

D

59. Write a two-column proof to show that

Given: and

MO

N P

Q

R

60. Complete the statement.

?

61. Write this statement as a conditional in if-then form: All triangles have three sides.

62. Find the values of x and y.

A

DB C

||

((

68°


y°

x°

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63. The figure is formed from rectangles. Find the total area. The diagram is not to scale.

5 ft2 ft

2 ft

7 ft

64. Find the area of the circle in terms of .

22 in.

65. Based on the pattern, what are the next two terms of the sequence?

4, 13, 22, 31, . . .

66. What is the converse of the following conditional?

If a number is a natural number, then it is a whole number.

67. B is the midpoint of D is the midpoint of and AE = 25. Find BD. The diagram is not to scale.

A E

C

B D

68. Use the Law of Detachment and the Law of Syllogism to draw a conclusion from the three given statements.

If a person lives in Santiago, then that person lives in Brazil.

If a person lives in Brazil, then that person lives in South America.

Paul lives in Santiago.

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69. Find the value of k. The diagram is not to scale.

64°

47° k °

70. Determine which triangles in the figure are congruent by AAS.

A

B

C

D

E

F

71. Is there enough information to prove the two triangles congruent? If yes, write the congruence statement and

name the postulate you would use. If no, write not possible and tell what other information you would need.

Q

S

P R

| |

(

)

72. Which point is the midpoint of ?

0 2 4 6 80–2–4–6–8

A ECB D

73. Based on the given information, can you conclude that ? Explain.

Given: , , and

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74. Complete the two-column proof.

Given:

Prove:


75. Write a two-column proof.

Given: and

Prove:

B

E

A

D

C

76. Find the values of the variables. Show your work and explain your steps. The diagram is not to scale.

z

31o

68o

x

v

w

y

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77. Write a two-column proof.

Given: are supplementary.

Prove:

l

2

m

6

1

3 4

5

7 8

a guide to preparing for the honors geometry...

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