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Name: ________________________ Class: ___________________ Date: __________ Geometry Practice Quiz Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Which pairs of angles are equal in this diagram? a. b. c. d. ____ a = e, b = d, and c = g a = e, c = g, and b = f a = c, e = g, and f = h a = b, c = d, and e = f 2. In which diagram(s) is AB parallel to CD? 2. 1. a. b. c. d. Choice 1 only Choice 2 only Choice 1 and Choice 2 Neither Choice 1 nor Choice 2 1 ID: A Name: ________________________ ____ 3. Which statement about the angles in this diagram is false? a. b. c. d. ____ ID: A ∠e = 130° ∠f = 62° ∠c = 50° ∠b = 50° 4. Which statement about the angles in this diagram is false? a. b. c. d. ∠e = ∠f ∠f = ∠a ∠a = ∠b ∠d = ∠c 2 Name: ________________________ ____ 5. Which angle property proves ∠PYD = 90°? a. b. c. d. ____ corresponding angles alternate interior angles alternate exterior angles supplementary angles 6. Which angle property proves ∠EFS = 28°? a. b. c. d. ____ ID: A alternate exterior angles supplementary angles alternate interior angles corresponding angles 7. Which are the correct measures of the indicated angles? a. b. c. d. ∠w = 77°, ∠x =103°, ∠y = 103° ∠w = 77°, ∠x =77°, ∠y = 103° ∠w = 103°, ∠x =103°, ∠y = 77° ∠w = 103°, ∠x =77°, ∠y = 77° 3 Name: ________________________ ____ 8. Which are the correct measures for ∠YXZ and ∠XZY? a. b. c. d. ____ ID: A ∠YXZ = 63°, ∠XZY = 91° ∠YXZ = 53°, ∠XZY = 91° ∠YXZ = 63°, ∠XZY = 81° ∠YXZ = 53°, ∠XZY = 81° 9. Which are the correct measures for ∠LNO, ∠LNM, and ∠MLN? a. b. c. d. ∠LNO = 152°, ∠LNM = 28°, and ∠MLN = 35° ∠LNO = 152°, ∠LNM = 28°, and ∠MLN = 28° ∠LNO = 117°, ∠LNM = 63°, and ∠MLN = 28° ∠LNO = 145°, ∠LNM = 35°, and ∠MLN = 35° 4 Name: ________________________ ID: A ____ 10. Which are the correct measures of the interior angles of ∆CDE? a. b. c. d. ∠DCE = 52°, ∠CDE = 69°, and ∠CED = 59° ∠DCE = 92°, ∠CDE = 49°, and ∠CED = 39° ∠DCE = 62°, ∠CDE = 49°, and ∠CED = 69° ∠DCE = 72°, ∠CDE = 59°, and ∠CED = 49° ____ 11. Determine the sum of the measures of the interior angles of this polygon. a. b. c. d. 720° 1080° 540° 1440° 5 Name: ________________________ ID: A ____ 12. Determine the value of a. a. b. c. d. 35° 30° 45° 25° ____ 13. Can you conclude that ∆ABC is congruent to ∆XYZ? Explain. a. b. c. d. Yes, they are congruent: side-angle-side congruence Yes, they are congruent: side-side-side congruence Yes, they are congruent: angle-side-angle congruence It is not possible to conclude they are congruent. 6 Name: ________________________ ID: A ____ 14. Can you prove these triangles are congruent? If so, how? a. b. c. d. Yes, by SSS. Yes, by SAS. Yes, by ASA. No, there is not enough information. ____ 15. What can you deduce from the statement ∆ABC ≅ ∆DEF? Choose the best answer. a. b. c. d. BC = EF ∠A = ∠D ∠C = ∠F all of the above Short Answer 16. Determine the measure of ∠BEF. 17. Determine the values of a, b, and c. 7 Name: ________________________ ID: A 18. Determine the measure of ∠RTQ. 19. Determine the measure of ∠NMO. 20. Determine the value of x. 8 ID: A Geometry Practice Quiz Answer Section MULTIPLE CHOICE 1. ANS: B PTS: 1 DIF: Grade 11 REF: Lesson 2.1 OBJ: 1.1 Generalize, using inductive reasoning, the relationships between pairs of angles formed by transversals and parallel lines, with or without technology. | 1.5 Verify, with examples, that if lines are not parallel the angle properties do not apply. TOP: Parallel lines KEY: parallel lines| transversals 2. ANS: D PTS: 1 DIF: Grade 11 REF: Lesson 2.1 OBJ: 1.1 Generalize, using inductive reasoning, the relationships between pairs of angles formed by transversals and parallel lines, with or without technology. | 1.5 Verify, with examples, that if lines are not parallel the angle properties do not apply. TOP: Parallel lines KEY: parallel lines| transversals 3. ANS: D PTS: 1 DIF: Grade 11 REF: Lesson 2.2 OBJ: 1.2 Prove, using deductive reasoning, properties of angles formed by transversals and parallel lines, including the sum of the angles in a triangle. | 1.4 Identify and correct errors in a given proof of a property involving angles. | 2.1 Determine the measures of angles in a diagram that involves parallel lines, angles and triangles, and justify the reasoning. | 2.2 Identify and correct errors in a given solution to a problem that involves the measures of angles. | 2.3 Solve a contextual problem that involves angles or triangles. | 2.4 Construct parallel lines, using only a compass or a protractor, and explain the strategy used. | 2.5 Determine if lines are parallel, given the measure of an angle at each intersection formed by the lines and a transversal. TOP: Angles formed by parallel lines KEY: parallel lines| transversals| angles 4. ANS: B PTS: 1 DIF: Grade 11 REF: Lesson 2.2 OBJ: 1.2 Prove, using deductive reasoning, properties of angles formed by transversals and parallel lines, including the sum of the angles in a triangle. | 1.4 Identify and correct errors in a given proof of a property involving angles. | 2.1 Determine the measures of angles in a diagram that involves parallel lines, angles and triangles, and justify the reasoning. | 2.2 Identify and correct errors in a given solution to a problem that involves the measures of angles. | 2.3 Solve a contextual problem that involves angles or triangles. | 2.4 Construct parallel lines, using only a compass or a protractor, and explain the strategy used. | 2.5 Determine if lines are parallel, given the measure of an angle at each intersection formed by the lines and a transversal. TOP: Angles formed by parallel lines KEY: parallel lines| transversals| angles 5. ANS: A PTS: 1 DIF: Grade 11 REF: Lesson 2.2 OBJ: 1.2 Prove, using deductive reasoning, properties of angles formed by transversals and parallel lines, including the sum of the angles in a triangle. | 1.4 Identify and correct errors in a given proof of a property involving angles. | 2.1 Determine the measures of angles in a diagram that involves parallel lines, angles and triangles, and justify the reasoning. | 2.2 Identify and correct errors in a given solution to a problem that involves the measures of angles. | 2.3 Solve a contextual problem that involves angles or triangles. | 2.4 Construct parallel lines, using only a compass or a protractor, and explain the strategy used. | 2.5 Determine if lines are parallel, given the measure of an angle at each intersection formed by the lines and a transversal. TOP: Angles formed by parallel lines KEY: parallel lines| transversals| angles 1 ID: A 6. ANS: A PTS: 1 DIF: Grade 11 REF: Lesson 2.2 OBJ: 1.2 Prove, using deductive reasoning, properties of angles formed by transversals and parallel lines, including the sum of the angles in a triangle. | 1.4 Identify and correct errors in a given proof of a property involving angles. | 2.1 Determine the measures of angles in a diagram that involves parallel lines, angles and triangles, and justify the reasoning. | 2.2 Identify and correct errors in a given solution to a problem that involves the measures of angles. | 2.3 Solve a contextual problem that involves angles or triangles. | 2.4 Construct parallel lines, using only a compass or a protractor, and explain the strategy used. | 2.5 Determine if lines are parallel, given the measure of an angle at each intersection formed by the lines and a transversal. TOP: Angles formed by parallel lines KEY: parallel lines| transversals| angles 7. ANS: D PTS: 1 DIF: Grade 11 REF: Lesson 2.2 OBJ: 1.2 Prove, using deductive reasoning, properties of angles formed by transversals and parallel lines, including the sum of the angles in a triangle. | 1.4 Identify and correct errors in a given proof of a property involving angles. | 2.1 Determine the measures of angles in a diagram that involves parallel lines, angles and triangles, and justify the reasoning. | 2.2 Identify and correct errors in a given solution to a problem that involves the measures of angles. | 2.3 Solve a contextual problem that involves angles or triangles. | 2.4 Construct parallel lines, using only a compass or a protractor, and explain the strategy used. | 2.5 Determine if lines are parallel, given the measure of an angle at each intersection formed by the lines and a transversal. TOP: Angles formed by parallel lines KEY: parallel lines| transversals| angles 8. ANS: C PTS: 1 DIF: Grade 11 REF: Lesson 2.3 OBJ: 1.2 Prove, using deductive reasoning, properties of angles formed by transversals and parallel lines, including the sum of the angles in a triangle.| 2.1 Determine the measures of angles in a diagram that involves parallel lines, angles and triangles, and justify the reasoning. TOP: Angles in triangles KEY: angles| triangles 9. ANS: A PTS: 1 DIF: Grade 11 REF: Lesson 2.3 OBJ: 1.2 Prove, using deductive reasoning, properties of angles formed by transversals and parallel lines, including the sum of the angles in a triangle.| 2.1 Determine the measures of angles in a diagram that involves parallel lines, angles and triangles, and justify the reasoning. TOP: Angles in triangles KEY: angles| triangles 10. ANS: D PTS: 1 DIF: Grade 11 REF: Lesson 2.3 OBJ: 1.2 Prove, using deductive reasoning, properties of angles formed by transversals and parallel lines, including the sum of the angles in a triangle.| 2.1 Determine the measures of angles in a diagram that involves parallel lines, angles and triangles, and justify the reasoning. TOP: Angles in triangles KEY: angles| triangles 11. ANS: B PTS: 1 DIF: Grade 11 REF: Lesson 2.4 OBJ: 1.3 Generalize, using inductive reasoning, a rule for the relationship between the sum of the interior angles and the number of sides (n) in a polygon, with or without technology 1.4 Identify and correct errors in a given proof of a property involving angles.| 2.2 Identify and correct errors in a given solution to a problem that involves the measures of angles.| 2.3 Solve a contextual problem that involves angles or triangles. TOP: Angle properties in polygons KEY: polygons| angle properties 12. ANS: B PTS: 1 DIF: Grade 11 REF: Lesson 2.4 OBJ: 1.3 Generalize, using inductive reasoning, a rule for the relationship between the sum of the interior angles and the number of sides (n) in a polygon, with or without technology 1.4 Identify and correct errors in a given proof of a property involving angles.| 2.2 Identify and correct errors in a given solution to a problem that involves the measures of angles.| 2.3 Solve a contextual problem that involves angles or triangles. TOP: Angle properties in polygons KEY: polygons| angle properties 13. ANS: A PTS: 1 DIF: Grade 11 REF: Lesson 2.5 OBJ: Investigate congruent triangles TOP: Congruent triangles KEY: congruent triangles| side-angle-side| side-side-side| angle-side-angle 2 ID: A 14. ANS: OBJ: TOP: KEY: 15. ANS: OBJ: TOP: KEY: D PTS: 1 DIF: Grade 11 REF: Lesson 2.6 1.6 Prove, using deductive reasoning that two triangles are congruent Proving triangles congruent congruent| triangles| side-angle-side| side-side-side| angle-side-angle D PTS: 1 DIF: Grade 11 REF: Lesson 2.6 1.6 Prove, using deductive reasoning that two triangles are congruent Proving triangles congruent congruent| triangles| side-angle-side| side-side-side| angle-side-angle SHORT ANSWER 16. ANS: ∠BEF = 72° PTS: 1 DIF: Grade 11 REF: Lesson 2.2 OBJ: 1.2 Prove, using deductive reasoning, properties of angles formed by transversals and parallel lines, including the sum of the angles in a triangle. | 1.4 Identify and correct errors in a given proof of a property involving angles. | 2.1 Determine the measures of angles in a diagram that involves parallel lines, angles and triangles, and justify the reasoning. | 2.2 Identify and correct errors in a given solution to a problem that involves the measures of angles. | 2.3 Solve a contextual problem that involves angles or triangles. | 2.4 Construct parallel lines, using only a compass or a protractor, and explain the strategy used. | 2.5 Determine if lines are parallel, given the measure of an angle at each intersection formed by the lines and a transversal. TOP: Angles formed by parallel lines KEY: parallel lines| transversals| angles 17. ANS: ∠a = 15°, ∠b = 30°, ∠c = 10° PTS: 1 DIF: Grade 11 REF: Lesson 2.2 OBJ: 1.2 Prove, using deductive reasoning, properties of angles formed by transversals and parallel lines, including the sum of the angles in a triangle. | 1.4 Identify and correct errors in a given proof of a property involving angles. | 2.1 Determine the measures of angles in a diagram that involves parallel lines, angles and triangles, and justify the reasoning. | 2.2 Identify and correct errors in a given solution to a problem that involves the measures of angles. | 2.3 Solve a contextual problem that involves angles or triangles. | 2.4 Construct parallel lines, using only a compass or a protractor, and explain the strategy used. | 2.5 Determine if lines are parallel, given the measure of an angle at each intersection formed by the lines and a transversal. TOP: Angles formed by parallel lines KEY: parallel lines| transversals| angles 18. ANS: ∠RTQ = 77° PTS: 1 DIF: Grade 11 REF: Lesson 2.2 OBJ: 1.2 Prove, using deductive reasoning, properties of angles formed by transversals and parallel lines, including the sum of the angles in a triangle. | 1.4 Identify and correct errors in a given proof of a property involving angles. | 2.1 Determine the measures of angles in a diagram that involves parallel lines, angles and triangles, and justify the reasoning. | 2.2 Identify and correct errors in a given solution to a problem that involves the measures of angles. | 2.3 Solve a contextual problem that involves angles or triangles. | 2.4 Construct parallel lines, using only a compass or a protractor, and explain the strategy used. | 2.5 Determine if lines are parallel, given the measure of an angle at each intersection formed by the lines and a transversal. TOP: Angles formed by parallel lines KEY: parallel lines| transversals| angles 3 ID: A 19. ANS: ∠NMO = 82° PTS: 1 DIF: Grade 11 REF: Lesson 2.3 OBJ: 1.2 Prove, using deductive reasoning, properties of angles formed by transversals and parallel lines, including the sum of the angles in a triangle.| 2.1 Determine the measures of angles in a diagram that involves parallel lines, angles and triangles, and justify the reasoning. TOP: Angles in triangles KEY: angles| triangles 20. ANS: x = 21° PTS: 1 DIF: Grade 11 REF: Lesson 2.3 OBJ: 1.2 Prove, using deductive reasoning, properties of angles formed by transversals and parallel lines, including the sum of the angles in a triangle.| 2.1 Determine the measures of angles in a diagram that involves parallel lines, angles and triangles, and justify the reasoning. TOP: Angles in triangles KEY: angles| triangles 4