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NAME______________________________________DATE_______________PER.________ Geometry Unit 3 – TEST REVIEW Given the figure to the right has two parallel lines, use the figure to answer questions 1-4. 1. Name the following angle pairs a. 1 and 4 _________ or supplementary? c. 3 and 4 ___________ or supplementary? b. 2 and 8__________ or supplementary? d. 1 and 8 ___________ or supplementary? 2. a.) if m1 is 105º, then what is the m3? ______ m5? ______ b.) if m 5 is 120⁰, then what is the m3? _____ m8?_______ 3. If m1 = (3x – 7)º and m8 = (5x – 23)º, what is the value of x and m8 and m1 and m2? 4. If m1 = (10x + 42)º and m3 = (2x + 6)º , what is the value of x and m1 and m5 and m6? 5. Adjacent angles that are supplementary are also known as what type of pair? a. Vertical angles b. Complementary angles c. Linear pair d. Same side interior angles 6. May Flower wants to you to explain to her how you know that lines c and d are parallel. 108 º c d 72 º 8. Write the equation of the line shown below? What is the slope of a line parallel to the graph below and what is the slope of a line perpendicular to the graph below? Equation of the line: Slope of Parallel Line: Slope of Perpendicular Line: 9. What is the slope of a line perpendicular to the line that contains the coordinate points (-3, 5) and (8, 0)? 10. Given the two functions: y = 3/2x + 6 and 2x + 3y = 9, tell whether the two lines are parallel, perpendicular, or neither?? 11. What would be an equation of a line parallel to 3y = 4x + 7 passing through point (6,1)? 12. What would be an equation of a line perpendicular to 4x – 2y = 12 passing through point (-1,5)? 13. Write the equation of a line parallel to a line containing the two points (4, -2) and (5, -8) and crosses through the point (1, 0). 14. Describe “Corresponding Angles.” When are they congruent? NAME______________________________________DATE_______________PER.________ Geometry Unit 3 – TEST REVIEW Given the figure to the right has two parallel lines, use the figure to answer questions 1-4. 1. Name the following angle pairs a. 1 and 4 ___vertical_ or supplementary? c. 3 and 4 _Linear b. 2 and 8___same pair or supplementary? d. 1 and 8 __Alt. or supplementary? or side exterior Exterior supplementary? 75___ m5? _105_____ 2. a.) if m1 is 105º, then what is the m3? ___ 60_ b.) if m 5 is 120⁰, then what is the m3? ____ m8?____ 120___ 3. If m1 = (3x – 7)º and m8 = (5x – 23)º, what is the value of x and m8 and m1 and m2? 3x – 7 = 5x – 23 x = 8 m<1 = 17, m<2 = 163, m<8 = 17 4. If m1 = (10x + 42)º and m3 = (2x + 6)º , what is the value of x and m1 and m5 and m6? 10x +42 +2x +6 = 180 x= 11 m<1 = 152, m<5 = 152, m<6 = 28 5. Adjacent angles that are supplementary are also known as what type of pair? a. Vertical angles b. Complementary angles c. Linear pair d. Same side interior angles 6. May Flower wants to you to explain to her how you know that lines c and d are parallel. 72 º The angle forming a linear pair with 108º is 72 º, since a linear pair is supplementary. 108 º If alternate exterior angles are supplementary, then the lines are parallel c d 72 º 8. Write the equation of the line shown below? What is the slope of a line parallel to the graph below and what is the slope of a line perpendicular to the graph below? Equation of the line: y = -2x + 4 Slope of Parallel Line: -2 Slope of Perpendicular Line: -½ 9. What is the slope of a line perpendicular to the line that contains the coordinate points (-3, 5) and (8, 0)? 0 – 5 = -5 8- (-3) 11 new slope is opposite reciprocal = 11 5 10. Given the two functions: y = 3/2x + 6 and 2x + 3y = 9, tell whether the two lines are parallel, perpendicular, or neither?? y = 3/2x + 6 2x +3y = 9 -2x -2x 3y = -2x +9 3 3 m = 3/2 y = -2/3x +3 m = -2/3 The slopes are opposite reciprocals so they are perpendicular 11. What would be an equation of a line parallel to 3y = 4x + 7 passing through point (6,1)? 3 3 y = 4/3x +7/3 m = 4/3 1 = 4/3 (6) + b 1 = 8 +b -7 = b Equation: y = 4/3 x - 7 12. What would be an equation of a line perpendicular to 4x – 2y = 12 passing through point (-1,5)? ½ y = 2x – 6 m = 2….slope is opposite reciprocal m = - 5 = -½(1) + b y = -½ + 4.5 4.5 = b 13. Write the equation of a line parallel to a line containing the two points (4, -2) and (5, -8) and crosses through the point (1, 0). -8 – (-2) = -6 = -6 m = -6 0 = -6(1) + b 5–4 1 +6 +6 6=b 14. Describe “Corresponding Angles.” When are they congruent? y = -6x + 6 Corresponding angles are in the same relative position. Corresponding angles are congruent if the lines are parallel.
