Unit 3 Review. Name: Class: Date: ID: A. 1. Which angles are adjacent angles? 4. Find the measure of s.
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1 Name: Class: Date: ID: A Unit 3 Review 1. Which angles are adjacent angles? 4. Find the measure of s. 2. The measure of 4 is 125º. Find the measure of Identify All corresponding angle pairs, alternate interior angle pairs, alternate exterior angle pairs, same-side pairs, vertical angles, and linear pairs.. 3. Select the measure of the complement or supplement of the angle. If there is no complement or supplement, select no complement or supplement. 55.1º 6. How many pairs of corresponding angles are formed by a transversal intersecting two lines? Find the measure of each numbered angle. 7. Not drawn to scale 1
2 Name: ID: A 8. Is line l parallel to line m? Explain. Not drawn to scale 9. What pair of lines is parallel if 1 13? 14. In the diagram, p q. Find the measure of each numbered angle if α1 = What are adjacent angles? Include a diagram. 11. What are vertical angles? Include a diagram. 12. Explain the difference between complementary and supplementary angles. 15. If a and b are parallel lines and m 3 = 128º, what is the measure of 8? 13. Does a right angle have a complement? Explain your answer. a. 134º b. 52º c. 54º d. 49º 2
3 Name: ID: A 16. Find the value of x in the triangle. 17. The measures of two angles of a triangle are 147 and 17. Find the measure of the third angle. 18. Find the values of x, y, and z. 19. A firefighter places a ladder against a building. The ladder forms a 47 with the ground. What is the measure of the angle between the ladder and the building? 21. Find the values of x, y, and z. The diagram is not to scale. 22. Find the value of x. The diagram is not to scale. 20. Find the value of k. The diagram is not to scale. 3
4 Name: ID: A 23. Find the value of x. The diagram is not to scale. 24. A star patterned quilt has a star with the angles shown. What is the value of x? The diagram is not to scale. 25. Find the measure of each interior and exterior angle. The diagram is not to scale. 4
5 Unit 3 Review Answer Section 1. ANS: KZQ and OZK PTS: 1 DIF: L2 REF: 7-1 Pairs of Angles OBJ: Using Adjacent Angles and Vertical Angles NAT: NAEP G3g STA: 8MI A.FO.08.07d TOP: 7-1 Example 1 KEY: adjacent angles vertical angles 2. ANS: 55º PTS: 1 DIF: L2 REF: 7-1 Pairs of Angles NAT: NAEP G3g STA: 8MI A.FO.08.07d TOP: 7-1 Example 2 KEY: adjacent angles vertical angles complementary angles supplementary angles 3. ANS: PTS: 1 DIF: L2 REF: 7-1 Pairs of Angles NAT: NAEP G3g STA: 8MI A.FO.08.07d TOP: 7-1 Example 3 KEY: complement complementary angles supplement supplementary angles 4. ANS: 63 NAT: NAEP G3g STA: 8MI A.FO.08.07d KEY: complementary angles supplementary angles complement supplement 5. ANS: corresponding PTS: 1 DIF: L2 REF: 7-2 Angles and Parallel Lines OBJ: Angles Formed by Parallel Lines NAT: NAEP G3g STA: 8MI A.FO.08.07d TOP: 7-2 Example 1 KEY: corresponding angles alternate interior angles 6. ANS: 4 PTS: 1 DIF: L3 REF: 7-2 Angles and Parallel Lines OBJ: Angles Formed by Parallel Lines NAT: NAEP G3g STA: 8MI A.FO.08.07d TOP: 7-2 Example 1 KEY: transversal corresponding angles 1
6 7. ANS: m 1 = 60º, m 2 = 30º, m 3 = 150º NAT: NAEP G3g STA: 8MI A.FO.08.07d TOP: 7-1 Example 3 KEY: adjacent angles vertical angles complementary angles supplementary angles 8. ANS: No; corresponding angles are not congruent. PTS: 1 DIF: L3 REF: 7-2 Angles and Parallel Lines OBJ: Identifying Parallel Lines NAT: NAEP G3g STA: 8MI A.FO.08.07d TOP: 7-2 Example 3 KEY: parallel lines alternate interior angles corresponding angles 9. ANS: Lines a and b are parallel. PTS: 1 DIF: L2 REF: 7-2 Angles and Parallel Lines OBJ: Identifying Parallel Lines NAT: NAEP G3g STA: 8MI A.FO.08.07d TOP: 7-2 Example 3 KEY: parallel lines alternate interior angles corresponding angles 10. ANS: [4] correct definition and diagram [3] correct definition but no diagram [2] correct diagram but incorrect definition [1] partially correct definition or diagram OBJ: Using Adjacent Angles and Vertical Angles NAT: NAEP G3g STA: 8MI A.FO.08.07d TOP: 7-1 Example 1 KEY: adjacent angles rubric-based question extended response writing in math 11. ANS: [4] correct definition and diagram [3] correct definition but no diagram [2] correct diagram but incorrect definition [1] partially correct definition or diagram OBJ: Using Adjacent Angles and Vertical Angles NAT: NAEP G3g STA: 8MI A.FO.08.07d TOP: 7-1 Example 1 KEY: vertical angles rubric-based question extended response writing in math 2
7 12. ANS: The sum of the measures of complementary angles equals 90º. The sum of the measures of supplementary angles is 180º. NAT: NAEP G3g STA: 8MI A.FO.08.07d KEY: writing in math complementary angles supplementary angles reasoning 13. ANS: No; a right angle has a measure of 90º, and the sum of the measures of complementary angles is 90º. NAT: NAEP G3g STA: 8MI A.FO.08.07d KEY: complement complementary angles writing in math reasoning DOK: DOK ANS: f PTS: ANS: B PTS: 1 DIF: L3 REF: 7-2 Angles and Parallel Lines OBJ: Angles Formed by Parallel Lines NAT: NAEP G3g STA: 8MI A.FO.08.07d TOP: 7-2 Example 2 KEY: alternate interior angles corresponding angles 16. ANS: 89 PTS: 1 DIF: L2 REF: 7-3 Triangles OBJ: Finding Measures of Angles in a Triangle NAT: NAEP G1f NAEP G3f TOP: 7-3 Example 3 KEY: triangle angle measure angle sum of a triangle 17. ANS: 16 PTS: 1 DIF: L3 REF: 7-3 Triangles OBJ: Finding Measures of Angles in a Triangle NAT: NAEP G1f NAEP G3f TOP: 7-3 Example 3 KEY: triangle angle sum of a triangle 18. ANS: x = 75 ; y = 105 ; z = 22 PTS: 1 DIF: L4 REF: 7-3 Triangles OBJ: Finding Measures of Angles in a Triangle NAT: NAEP G1f NAEP G3f KEY: triangle angle measure angle sum of a triangle 3
8 19. ANS: 43 PTS: 1 DIF: L3 REF: 7-3 Triangles OBJ: Finding Measures of Angles in a Triangle NAT: NAEP G1f NAEP G3f TOP: 7-3 Example 3 KEY: triangle angle measure 20. ANS: 73 PTS: 1 DIF: L2 REF: 3-5 Parallel Lines and Triangles TOP: 3-5 Problem 1 Using the Triangle Angle-Sum Theorem KEY: triangle sum of angles of a triangle 21. ANS: x = 86, y = 75, z = 94 PTS: 1 DIF: L3 REF: 3-5 Parallel Lines and Triangles TOP: 3-5 Problem 1 Using the Triangle Angle-Sum Theorem KEY: triangle sum of angles of a triangle 22. ANS: 33 PTS: 1 DIF: L2 REF: 3-5 Parallel Lines and Triangles TOP: 3-5 Problem 2 Using the Triangle Exterior Angle Theorem KEY: triangle sum of angles of a triangle 23. ANS: 19 PTS: 1 DIF: L3 REF: 3-5 Parallel Lines and Triangles TOP: 3-5 Problem 2 Using the Triangle Exterior Angle Theorem KEY: triangle sum of angles of a triangle vertical angles 24. ANS: 81 PTS: 1 DIF: L3 REF: 3-5 Parallel Lines and Triangles TOP: 3-5 Problem 3 Applying the Triangle Theorems KEY: triangle sum of angles of a triangle word problem exterior angle theorem 4
9 25. ANS: m 1 = m 2 = m 3 = 90, m 4 = 114, m 5 = m 6 = 66, m 8 = 24, m 7 = m 9 = 156 PTS: 1 DIF: L3 REF: 3-5 Parallel Lines and Triangles TOP: 3-5 Problem 1 Using the Triangle Angle-Sum Theorem 3-5 Problem 2 Using the Triangle Exterior Angle Theorem KEY: Triangle Angle-Sum Theorem exterior angle 5
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