Geometry Chapter 3 Test Review 1. Name a pair of parallel planes. 7. In the figure, l G H E is not necessarily true? [A] Ð 7 @ Ð 4 [B] Ð 2 @ Ð 6 [C] Ð5 @ Ð 3 [D] Ð8 @ Ð 2 r M P N O F n and r is a transversal. Which of the following I 1 J 4 5 2 3 l 6 8 7 L K n 2. Two lines that are not coplanar and do not intersect are called _____________. 8. In the figure shown, HC || GD and m ÐABC = 101° . Which of the following statements is false? 3. Use the figure below. C C B For the cube shown, AD and HG are ___________. D A A E B F H G [A] ÐHBF and ÐAED are alternate interior angles. [B] m ÐDEF = 101 ° [C] m ÐGEF = 101 ° [D] ÐABH and ÐAEG are corresponding angles. D G F H E 4. In the figure, Ð1 and Ð2 are _________. 9. Refer to the figure. Which theorem guarantees l and m are parallel? l n 2 m l n m 1 5. In the figure, Ð 6 and Ð 2 are _____________. n 10. Find the slope of the line passing through the points A(6, 8) and B(8, –4). 11. Find the slope of the line. y 1 4 5 8 10 2 3 5 l 6 –10 7 m –5 0 5 10 x –5 –10 6. Find m Ð 1 in the figure below. PQ and RS are parallel. P 8 0 ° 12. What is the slope of the line that passes through points A and B below? y 4 Q B (5, 3)
2 R 1 –2 S 2 A (–2, –3) 13. A line parallel to y =
2 x - 7 is ___________. 3 4 x Geometry Chapter 3 Test Review 14. Find the slope­intercept form of the the line passing through the point ( 0 , 5 ) and parallel to the line y = - 3 x + 3. 15. A line parallel to y =
1 x + 3 and passing through (0, 0) has 2 sidelines and the short parallel sides are called either goal or endlines. The touch and goal lines are perpendicular to each other. At each end of the pitch, 18 yards from the goal line, and perpendicular to the touch lines is the long side of the penalty box. Explain how you know the long side of each penalty box is parallel to the goal lines. the equation __________. 16. Which best describes the relationship between the lines with equations 2 x - 2 y = 0 and 2 x + 2 y = –7? 17. Which best describes the relationship between the line that passes through (2, 1) and (5, 6) and the line that passes through (8, –9) and (13, –6)? 1 x + 3 is perpendicular to? (give example) 2 19. Which best describes the relationship between Line 1 and Line 2?
Line 1 passes through – 3 , 6 and – 7 , 8 b g b g Line 2 passes through b – 4 , 8 g and b – 6 , 4 g 20. Write the slope­intercept form of the equation of the line passing through the point (–1, 2) and perpendicular to the line 1 y = - x - 2. 4 21. Write the reason for each step of the proof. Given: A B C b g 1 . State whether the line that passes 2 through (–6, 7) and (–5, 5) is parallel or perpendicular to line L 1 . 24. A line L 1 has slope [A] same line [B] parallel [C] neither parallel nor perpendicular [D] perpendicular 18. The line y = -
23. Write an equation for the line passing through the point – 4 , – 5 that has a slope of –6. D
l AC @ BD Prove: AB @ CD 22. The long parallel sides of a soccer pitch are called either touch or 25. Write the slope­intercept form of the equation of the line passing through the point (3, –1) and perpendicular to the line 4 y = x - 2. 5