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Geometry/Trig Name: ___________________ Date: ____________________ Unit 8 Test Review - Special Angle Pairs and parallel lines Directions: Complete the following review assignment to the best of your ability. This assignment will be collected and graded on the day of the test. To receive full credit, you must complete the following: Show all of your work Check your work using the answer key Show evidence of checking your work (correct any mistakes in a different color. If your answer is correct, put a check mark). Special Angle Types Example Description Across from each other over a vertex Relationships always congruent Vertical angles ∠2 & ∠3 Adjacent angles that form a line two angles that add up to 180 degrees ∠3 & ∠6 Opposite sides of the transversal and inside the lines Congruent when lines are∥ ∠2 & ∠7 Opposite sides of the transversal and outside the lines Congruent when lines are∥ Corresponding angles ∠1 & ∠5 In the “same position” or “same corner” of the transversal & lines Congruent when lines are∥ Same-side interior ∠3 & ∠5 Same side of the transversal and inside the lines Supplementary when lines are∥ Same side exterior angles ∠2 & ∠8 Same side of the transversal and outside the lines Supplementary when lines are∥ Supplementary angles Alternate Interior Angles Alternate Exterior Angles ∠3 & ∠4 When justifying parallel lines you need to include 1. Type of angle pair Justifying that Lines are Parallel 2. Relationship 3. State if the relationship is true (from diagram) 4. Conclusion Geometry/Trig 1) Given the accompanying diagram: Identify the type of angle pair and the relationship between ∡3 & ∡7, given that lines p and q are parallel. Explain how you know your answer. 2) In the diagram below, line p intersects line m and line n. If and , lines m and n are parallel when x equals 3) Investigate the two drawings. What angle relationships are shown for each drawing? State whether AB is parallel to CD in each drawing. EXPLAIN YOUR REASONING. Extend your lines! Geometry/Trig 4) Lines j and k intersect at point p forming angles 1, 2, 3, and 4. If the m< 3 = 25 what is the m<1? What special angle pair are they? Draw and label a diagram first!! 5) Solve for x, given that the two lines cut by a transversal are parallel, and < 1 = 𝑥 + 10 and < 7 = 2𝑥 − 40 Find the value of x. 6) A pair of same side interior angles are in a ratio of 3 : 6. Find each angle. 6) Is Franklin Way parallel to Chavez Ave? Justify your response. Geometry/Trig 7) Use the diagram to help you answer questions a-b. The diagram includes parallel lines cut by a transversal. a) Given the diagram below, name a pair of alternate exterior angles. (1 point) b) Name a pair of same side interior angles. (1 point) c) You are given that m<7=32o. What is the m<1? (1 point) d) You are given that <3 = x+20 and <6 = 3x + 12. What is the m<6? (3 points) e) You are given that <1 = 12x – 12 and <5 = 10x + 10. What is the m<1? (3 points) 8) Is GH parallel to JI? Justify your answer. (3 points) 115 60 9) Find the value of x. Geometry/Trig 10) If the measure of angle #1 is 20, the measure of angle #3 is 110 and the measure of angle 6 is 70, prove that lines GH//DK. 11) Geometry/Trig 12) Using the picture at the right, state the type and relationship for each pair of angles given. (a) ∠1 𝑎𝑛𝑑 ∠5 Type: __________________________________________________ Relationship: ________________________________________ (b) ∠2 𝑎𝑛𝑑 ∠8 Type: __________________________________________________ Relationship: ________________________________________ (c) ∠4 𝑎𝑛𝑑 ∠5 Type: __________________________________________________ Relationship: ________________________________________ (d) ∠4 𝑎𝑛𝑑 ∠6 Type: __________________________________________________ Relationship: ________________________________________ 13) Solve for x: 14) The measures of two supplementary angles are in the ratio 2 : 3. Find the measure of each angle. Geometry/Trig 15) Solve for angles 1, 2, and 3 in the diagram below. Show your work clearly!