Fall Semester Exam Review
Fall semester exam Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. Name an angle supplementary to
a. / / b. / / c. / / d. /____ 2. Which two statements contradict each other?
I. Jon, Elizabeth, and Franco read 27 books among them for a class.
II. Franco read 6 books.
III. None of the three students read more than 7 books.
a. / II and IIIb. / I and II
c. / I and III
d. / No two of the statements contradict each other.
____ 3. What is the missing reason in the two-column proof?
Given: bisects and bisects
Prove:
Statements / Reasons1. bisects / 1. Given
2. / 2. Definition of angle bisector
3. / 3. Reflexive property
4. bisects / 4. Given
5. / 5. Definition of angle bisector
6. / 6. ?
a. / AAS Theorem / c. / ASA Postulate
b. / SSS Postulate / d. / SAS Postulate
Write an equation for the line that is parallel to the given line and that passes through the given point.
____ 4. y = –5x + 3; (–6, 3)
a. / y = –5x + 27 / c. / y = –5x – 27b. / y = 5x – 9 / d. / y = –5x + 9
Find the value of x. Round your answer to the nearest tenth.
____ 5.
a. / 7.8 / b. / 15.6 / c. / 5.2 / d. / 4.5____ 6. . Complete the statements.
a. /b. /
a. / ; AE / b. / E; AE / c. / ; DC / d. / E; DC
____ 7. If find the values of x, EF, and FG. The drawing is not to scale.
a. / x = 4, EF = 10, FG = 18 / c. / x = 12, EF = 10, FG = 18b. / x = 4, EF = –6, FG = –6 / d. / x = 12, EF = 38, FG = 54
____ 8. Q is equidistant from the sides of Find the value of x. The diagram is not to scale.
a. / 11 / b. / 7 / c. / 22 / d. / 4____ 9. Write the contrapositive of the conditional statement illustrated by this Venn diagram.
a. / If an animal is not a poodle, then it is a dog.b. / If an animal is not a poodle, then it is not a dog.
c. / If an animal is not a dog, then it is a poodle.
d. / If an animal is not a dog, then it is not a poodle.
____ 10. In each pair of triangles, parts are congruent as marked. Which pair of triangles is congruent by ASA?
a. / / c. /b. / / d. /
____ 11. Line r is parallel to line t. Find m5. The diagram is not to scale.
a. / 48 / b. / 132 / c. / 38 / d. / 148____ 12. The vertices of a triangle are P(–2, 1), Q(6, –3), and R(2, 3). Name the vertices of the image reflected in the x-axis.
a. / / c. /b. / / d. /
____ 13. Name the angle included by the sides and
a. / / b. / / c. / / d. / none of these____ 14. Is there enough information to conclude that the two triangles are congruent? If so, what is a correct congruence statement?
a. / Yes; .b. / Yes; .
c. / Yes; .
d. / No, the triangles cannot be proven congruent.
____ 15. The length of a rectangle is inches and the width is inches. What is the ratio, using whole numbers, of the length to the width?
a. / 26 : 22 / b. / 11 : 26 / c. / 26 : 11 / d. / 13 : 11____ 16. What is the conclusion of the following conditional?
A number is divisible by 9 if the sum of the digits of the number is divisble by 9.
a. / The number is divisible by 9.b. / If the sum of the digits of a number is divisble by 9, then the number is divisible by 9.
c. / The number is odd.
d. / The sum of the digits of the number is divisble by 9.
____ 17. Find the value of x. The diagram is not to scale.
a. / 54 / b. / 60 / c. / 30 / d. / 68Find the length of the missing side. The triangle is not drawn to scale.
____ 18.
a. / 62 / b. / 168 / c. / 25 / d. / 625____ 19. Name a median for
a. / / b. / / c. / / d. /____ 20. For a triangle, list the respective names of the points of concurrency of
• perpendicular bisectors of the sides
• bisectors of the angles
• medians
• lines containing the altitudes.
a. / incentercircumcenter
orthocenter
centroid / b. / circumcenter
incenter
orthocenter
centroid / c. / incenter
circumcenter
centroid
orthocenter / d. / circumcenter
incenter
centroid
orthocenter
____ 21. List the sides in order from shortest to longest. The diagram is not to scale.
a. / / b. / / c. / / d. /____ 22. ____ two points are collinear.
a. / No / b. / Any / c. / Sometimes____ 23. Which angles are corresponding angles?
a. / / c. /b. / / d. / none of these
____ 24. An airplane over the Pacific sights an atoll at an angle of depression of 5. At this time, the horizontal distance from the airplane to the atoll is 4629 meters. What is the height of the plane to the nearest meter?
a. / 4647 m / b. / 403 m / c. / 405 m / d. / 4611 m____ 25. Name the ray in the figure.
a. / / b. / / c. / / d. /Solve the proportion.
____ 26.
a. / 18 / b. / / c. / / d. / 6Find the value of x. Round to the nearest tenth.
____ 27.
a. / 14.6 / b. / 14.7 / c. / 17.8 / d. / 17.5____ 28. Find the length of the hypotenuse.
a. / 18 / b. / 5 / c. / 12 / d. / 6____ 29. Classify ABC by its angles, when mA = 40, mB = 90, and mC = 50.
a. / obtuse / b. / right / c. / acute / d. / straight____ 30. Find the degree of rotation about the spinner center that maps label f to label A.
a. / 216° / b. / 144° / c. / 180° / d. / 180°____ 31. Construct the line perpendicular to at point F.
a. / / c. /b. / / d. /
____ 32. Supply the missing reasons to complete the proof.
Given: and
Prove:
b. / ASA; CPCTC / d. / ASA; Substitution
____ 33. The folding chair has different settings that change the angles formed by its parts. Suppose is 32 and is 72. Find . The diagram is not to scale.
a. / 104 / b. / 94 / c. / 124 / d. / 114____ 34. When a conditional and its converse are true, you can combine them as a true ____.
a. / hypothesis / c. / counterexampleb. / unconditional / d. / biconditional
____ 35. . Find the value of x for p to be parallel to q. The diagram is not to scale.
a. / 128 / b. / 126 / c. / 63 / d. / 124____ 36. Find AD.
a. / 1 / b. / 6 / c. / 13 / d. / 11____ 37. Find the value of x.
a. / –13 / b. / 84 / c. / 96 / d. / 13Find the value of x. Round to the nearest degree.
____ 38.
a. / 60 / b. / 27 / c. / 30 / d. / 56____ 39. Describe in words the translation represented by the vector .
a. / 5 units to the left and 8 units upb. / 5 units to the right and 8 units down
c. / 8 units to the left and 5 units up
d. / 5 units to the right and 8 units up
Find the slope of the line.
____ 40.
a. / / b. / / c. / / d. /____ 41. M(7, 5) is the midpoint of The coordinates of S are (9, 8). What are the coordinates of R?
a. / (5, 2) / b. / (8, 6.5) / c. / (14, 10) / d. / (11, 11)____ 42. If and , then what is the measure of The diagram is not to scale.
a. / 56 / b. / 4 / c. / 64 / d. / 60Write the slope-intercept form of the equation for the line.
____ 43.
a. / y = x 1 / c. / y = x 1b. / y = x 1 / d. / y = x 1
____ 44. Which is the graph of ?
a. / / c. /b. / / d. /
Short Answer
45. Construct so that
Fall semester exam Review
Answer Section
MULTIPLE CHOICE
1. ANS: D OBJ: 1-6.2 Identifying Angle Pairs
2. ANS: C OBJ: 5-4.2 Using Indirect Reasoning
3. ANS: C OBJ: 4-3.1 Using the ASA Postulate and the AAS Theorem
4. ANS: C OBJ: 6-6.1 Parallel Lines
5. ANS: C OBJ: 8-3.1 Using Tangents in Triangles
6. ANS: C OBJ: 7-2.1 Similar Polygons
7. ANS: C OBJ: 1-5.1 Finding Segment Lengths
8. ANS: B OBJ: 5-2.1 Perpendicular Bisectors and Angle Bisectors
9. ANS: D OBJ: 5-4.1 Writing the Negation, Inverse, and Contrapositive
10. ANS: D OBJ: 4-3.1 Using the ASA Postulate and the AAS Theorem
11. ANS: B OBJ: 3-1.2 Properties of Parallel Lines
12. ANS: A OBJ: 9-2.1 Finding reflection images
13. ANS: B OBJ: 4-2.1 Using the SSS and SAS Postulates
14. ANS: B OBJ: 4-6.1 The Hypotenuse-Leg Theorem
15. ANS: C OBJ: 7-1.1 Using Ratios and Proportions
16. ANS: A OBJ: 2-1.1 Conditional Statements
17. ANS: B OBJ: 5-1.1 Using Properties of Midsegments
18. ANS: C OBJ: 8-1.1 The Pythagorean Theorem
19. ANS: C OBJ: 5-3.2 Medians and Altitudes
20. ANS: D OBJ: 5-3.2 Medians and Altitudes
21. ANS: C OBJ: 5-5.2 Inequalities Involving Sides of Triangles
22. ANS: B OBJ: 1-3.1 Basic Terms of Geometry
23. ANS: B OBJ: 3-1.1 Identifying Angles
24. ANS: C OBJ: 8-5.1 Using Angles of Elevation and Depression
25. ANS: A OBJ: 1-4.1 Identifying Segments and Rays
26. ANS: A OBJ: 7-1.1 Using Ratios and Proportions
27. ANS: D OBJ: 8-4.1 Using Sine and Cosine in Triangles
28. ANS: D OBJ: 8-2.1 45°-45°-90° Triangles
29. ANS: B OBJ: 3-4.1 Finding Angle Measures in Triangles
30. ANS: C OBJ: 9-3.1 Drawing and identifying rotation images
31. ANS: B OBJ: 3-8.2 Constructing Perpendicular Lines
32. ANS: B OBJ: 4-4.1 Proving Parts of Triangles Congruent
33. ANS: A OBJ: 3-4.2 Using Exterior Angles of Triangles
34. ANS: D OBJ: 2-2.1 Writing Biconditionals
35. ANS: C OBJ: 3-3.1 Relating Parallel and Perpendicular Lines
36. ANS: D OBJ: 1-5.1 Finding Segment Lengths
37. ANS: A OBJ: 2-5.1 Theorems About Angles
38. ANS: A OBJ: 8-4.1 Using Sine and Cosine in Triangles
39. ANS: A OBJ: 9-1.2 Translations using vectors
40. ANS: A OBJ: 6-1.2 Finding Slope
41. ANS: A OBJ: 1-8.2 Finding the Midpoint of a Segment
42. ANS: D OBJ: 1-6.1 Finding Angle Measures
43. ANS: D OBJ: 6-2.1 Writing Linear Equations
44. ANS: D OBJ: 5-3.1 Using Vertex Form
SHORT ANSWER
45. ANS:
OBJ: 1-7.1 Constructing Segments and Angles