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Geometry Parallel Lines QR Review A. True/False: Given π β₯ π in the diagram below, determine whether each of the following statements is true or false. If a statement is false, replace the underlined word or number to make a true statement. 1. β 4 πππ β 5 are corresponding angles. 2. β 3 πππ β 5 are congruent. 3. Interior angles are located between the lines cut by a transversal. 4. β 1 πππ β 8 are alternate exterior angles. B. Identifying Angles: Use the diagram below to answer the following questions. 3 1 2 7 c 4 8 5 6 9 10 13 14 a 11 12 15 16 d b 1. Name one pair of corresponding angles for line a and b with transversal c 2. Name one pair of alternate interior angles for line a and b with transversal d. 3. Name one pair of consecutive interior angles for line c and d with transversal line a. 4. If β 1 β β 9, which lines are parallel? C. Problem Solving: Use the following diagram to answer the questions below. In the diagram, π β₯ π, π β₯ π. a 2 5 1 b c d 1. Find πβ 1 if πβ 1 = 3π₯ β 10 and πβ 5 = π₯ + 70. 2. Explain how you knew which equation to set up. Use appropriate vocabulary. 3. Find πβ 1 if πβ 1 = 8π₯ β 80 and πβ 2 = β2π₯ + 116. 4. Explain how you knew what equation to set up. Use appropriate vocabulary. D. Problem Solving: Use the following diagram and the fact that line a is NOT parallel to line b to complete the statement. t (3π₯ β 15)° a (5π₯ β 57)° b x CANNOT equal _________________________. E. Use the figure below to answer the following questions. H E D A G B F C 1. Identify all lines parallel to β‘πΈπ». β‘ . 2. Identify all lines skew to π΄π· 3. Identify all lines intersecting β‘π΄π΅. 4. Identify all planes intersecting plane DEF. 5. Identify all planes parallel to plane AHG. F. Fill in the Blank: Complete the statements given π β₯ π‘. s 5 4 1. If πβ 1 = 38°, then πβ 4 = _________. 2. If πβ 6 = 51°, then πβ 1 = _________. 3. πβ 2 = _________. 4. If πβ 3 = 42°, then πβ 1 = _________. 6 1 t 3 2 G. Problem Solving: Find the values of x and y given β‘πΆπ· β₯ β‘π΄π΅. C 70° y A D 80° x B H. Problem Solving: Use the following diagram to find the angle measures below given: β‘π΄π΅ β₯ β‘π·πΈ , β‘ β₯ β‘πΆπΈ , π΅π· β‘ , β‘ β₯ π΄πΆ πΈπ΅ πβ π΅π·πΈ = 38° A D Find: 1. πβ π΅πΈπ· 2. πβ π΅πΈπΆ 3. πβ π΅πΆπΈ 4. πβ πΆπΈπΉ B E C F