<p>Name:</p><p>Class:</p><p>Date:</p><p>Midterm Exam Review Indicate the answer choice that best completes the statement or answers the question.</p><p>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.</p><p>Identify the congruent triangles in the figure. 2. What is the missing statement in line 4 of the two column proof below?</p><p>Given: , D is the midpoint of and , Prove: </p><p>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</p><p> a. Definition of midpoint b. c. d. Alternate interior angles are congruent.</p><p>Powered by Cognero Page 1 Name:</p><p>Class:</p><p>Date:</p><p>Midterm Exam Review</p><p>3. What is the missing reason in line 2 of the two column proof below?</p><p>Given: , , , Prove: </p><p>Proof: Statements Reasons 1. , , 1. Given 2. 2. ??? 3. 3. Given 4. ??? 4. Third Angles Theorem 5. 5. Definition of Congruent Polygons</p><p> a. b. Right angles are congruent. c. Vertical angles are congruent. d. Reflexive Property</p><p>In the figure, and are opposite rays. and bisects .</p><p>Powered by Cognero Page 2 Name:</p><p>Class:</p><p>Date:</p><p>Midterm Exam Review</p><p>4. Which is NOT true about ? a. is acute. b. c. Point M lies in the interior of . d. It is an angle bisector.</p><p>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.</p><p>6. Name three points that are collinear.</p><p> a. J, B, G b. A, G, B</p><p>Powered by Cognero Page 3 Name:</p><p>Class:</p><p>Date:</p><p>Midterm Exam Review c. B, J, H d. J, D, B</p><p>Use the figure to find the angles.</p><p>7. Name two acute vertical angles. a. b. c. d. </p><p>Given the following information, determine which lines, if any, are parallel. State the postulate or theorem that justifies your answer. 8. 11 2</p><p>Powered by Cognero Page 4 Name:</p><p>Class:</p><p>Date:</p><p>Midterm Exam Review</p><p> 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</p><p>Identify the congruent triangles in the figure. 9. What is the missing reason in line 5 of the two column proof below?</p><p>Given: , K is the midpoint of and , Prove: </p><p> a. Vertical angles are congruent. b. c. CPCTC d. Definition of midpoint Proof: Statements Reasons</p><p>Powered by Cognero Page 5 Name:</p><p>Class:</p><p>Date:</p><p>Midterm Exam Review</p><p>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</p><p>10. a. b. c. d. </p><p>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.</p><p>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; .</p><p>Powered by Cognero Page 6 Name:</p><p>Class:</p><p>Date:</p><p>Midterm Exam Review</p><p>Identify the congruent triangles in the figure. 13. What is the missing reason in line 2 of the two column proof below?</p><p>Given: , , , Prove: </p><p>Proof: Statements Reasons 1. , 1. Given 2. 2. ??? 3. , 3. Given 4. ??? 4. Third Angles Theorem 5. 5. Definition of Congruent Polygons</p><p> a. Transitive Property of Congruence b. Reflexive Property of Congruence c. d. </p><p>Identify the sets of lines to which the given line is a transversal. Powered by Cognero Page 7 Name:</p><p>Class:</p><p>Date:</p><p>Midterm Exam Review</p><p>14. line n</p><p> 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</p><p>Powered by Cognero Page 8 Name:</p><p>Class:</p><p>Date:</p><p>Midterm Exam Review Answer Key</p><p>1. c</p><p>2. b</p><p>3. b</p><p>4. a</p><p>5. b</p><p>6. d</p><p>7. b</p><p>8. a</p><p>9. a</p><p>10. b</p><p>11. a</p><p>12. c</p><p>13. b</p><p>14. d</p><p>Powered by Cognero Page 9</p>
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