Midterm Exam Review
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Midterm Exam Review Indicate the answer choice that best completes the statement or answers the question.
Determine whether the conjecture is true or false. Give a counterexample for any false conjecture. 1. Given: Two angles are supplementary. Conjecture: They are both acute angles. a. False; either both are right or they are adjacent. b. True c. False; either both are right or one is obtuse. d. False; they must be vertical angles.
Identify the congruent triangles in the figure. 2. What is the missing statement in line 4 of the two column proof below?
Given: , D is the midpoint of and , Prove:
Proof: Statements Reasons 1. 1. Given 2. D is the midpoint of and 2. Given 3. , 3. ??? 4. ??? 4. Vertical angles are congruent. 5. 5. Given 6. , 6. ??? 7. 7. Definition of Congruent Polygons
a. Definition of midpoint b. c. d. Alternate interior angles are congruent.
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Midterm Exam Review
3. What is the missing reason in line 2 of the two column proof below?
Given: , , , Prove:
Proof: Statements Reasons 1. , , 1. Given 2. 2. ??? 3. 3. Given 4. ??? 4. Third Angles Theorem 5. 5. Definition of Congruent Polygons
a. b. Right angles are congruent. c. Vertical angles are congruent. d. Reflexive Property
In the figure, and are opposite rays. and bisects .
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Midterm Exam Review
4. Which is NOT true about ? a. is acute. b. c. Point M lies in the interior of . d. It is an angle bisector.
Determine whether the given measures can be the lengths of the sides of a triangle. Write yes or no. Explain. 5. 4, 8, 18 a. No; the first side is not long enough. b. False not greater than the third. c. Yes; the third side is the longest. d. Truesides is greater than the third.
6. Name three points that are collinear.
a. J, B, G b. A, G, B
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Midterm Exam Review c. B, J, H d. J, D, B
Use the figure to find the angles.
7. Name two acute vertical angles. a. b. c. d.
Given the following information, determine which lines, if any, are parallel. State the postulate or theorem that justifies your answer. 8. 11 2
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Midterm Exam Review
a. c || d; congruent alternate interior angles b. a || b ; congruent alternate interior angles c. a || b; congruent corresponding angles d. c || d; congruent corresponding angles
Identify the congruent triangles in the figure. 9. What is the missing reason in line 5 of the two column proof below?
Given: , K is the midpoint of and , Prove:
a. Vertical angles are congruent. b. c. CPCTC d. Definition of midpoint Proof: Statements Reasons
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Midterm Exam Review
1. 1. Given 2. K is the midpoint of and 2. Given 3. , 3. ??? 4. 4. Given 5. 5. ??? 6. ??? 6. Third Angles Theorem 7. 7. Definition of Congruent Polygons
10. a. b. c. d.
Determine whether the conjecture is true or false. Give a counterexample for any false conjecture. 11. Given: a concave polygon Conjecture: It can be regular or irregular. a. False; to be concave the angles cannot be congruent. b. True c. False; all concave polygons are regular. d. False; a concave polygon has an odd number of sides.
12. Given: Point B is in the interior of . Conjecture: a. False; may be obtuse. b. True c. False; just because it is in the interior does not mean it is on the bisecting line. d. False; .
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Midterm Exam Review
Identify the congruent triangles in the figure. 13. What is the missing reason in line 2 of the two column proof below?
Given: , , , Prove:
Proof: Statements Reasons 1. , 1. Given 2. 2. ??? 3. , 3. Given 4. ??? 4. Third Angles Theorem 5. 5. Definition of Congruent Polygons
a. Transitive Property of Congruence b. Reflexive Property of Congruence c. d.
Identify the sets of lines to which the given line is a transversal. Powered by Cognero Page 7 Name:
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Midterm Exam Review
14. line n
a. lines j and i b. lines m and o c. lines i and j¸ p d. lines j and i, i and p, j and p
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Midterm Exam Review Answer Key
1. c
2. b
3. b
4. a
5. b
6. d
7. b
8. a
9. a
10. b
11. a
12. c
13. b
14. d
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