1. Jeopardy Final Jeopardy $100 $100 $100 $100 $100 $200 $200 $200 $200
Perpendicular
Bisector
+ More
Partitioning
a Segment
Parallel,
Perpendicular
Or Neither
Equation of a
Line parallel to ….
Equation of a
Line
Perpendicular to
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Final Jeopardy

2. 1 - $100 What point on AB is also on the perpendicular bisector of AB?
The midpoint

3. 1 - $200
The perpendicular bisector of AB has a slope of ½ What is the slope of AB?
The slope is -2

4. 1 - $300
Find the perpendicular bisector of the segment with endpoints (0,3) and (4,1)
y = 2x -2

5. 1 - $400 Find the shortest distance between y = -2x -3 and (-2, -1).
Perpendicular line equation y = ½ x
Point of Intersection (-1.2, -0.6)
Distance = .89

6. 1 - $500 – Daily Double
What is the shortest distance between y = 1/3x + 4 and (-2, 2)?
Equation of perpendicular line y = -3x – 4
Point of intersection (-2.4, 3.2)
Distance = 1.26

7. 2 - $100
If a segment AB is partitioned into a ratio of 2:3by point P, what percent of the segment is AP?
40%
2/5

8. 2 - $200
Find the point P that lies on directed line segment AB and splits it into the ratio 1:3.
A(-6, 4) B(4, -2)
P (-3.5, 2.5)

9. 2 - $300
Find the point P on the directed line segment CD that divides the segment into a ration of 1:3. C(-1, 2) D(7, 14)
P (1, 5)

10. 2 - $400
Find the point that on directed line segment MN that partitions that it in a ratio of 1:2. M(-2,4) N(7, -2)
P (1,2)

11. 2 - $500
Segment AB is partitioned into a ratio of 1:2 by point P. A (-3, -2) and P (-1, -1/3), What is coordinates of B?
(3,3)

12. 3 - $100
What is the slope criteria for both parallel and perpendicular lines
Perpendicular lines -slopes are negative reciprocals. “Flipped and Reversed”
Parallel lines – slopes are same

13. 3 - $200
Are the lines represented by these two equations parallel, perpendicular or neither ?
x – 2y = 12
3x – 6y = 10
Parallel

14. 3 - $300
Are the lines represented by these two equations parallel, perpendicular or neither?
2x + 4y = 3
4x – 8y = 7
Neither

15. 3 - $400 Are the lines parallel, perpendicular or neither? 2x – 5y = 8
Neither m = 2/5 and m = 5/2 both slopes are positive

16. 3 - $500 Are the parallel, perpendicular or neither? 3y – x = -3
Perpendicular m = 1/3 and m = -3

17. 4 - $100 Write an equation of a line that is parallel to y = 2x + 4
answers vary y = 2x ± b

18. 4 - $200
Write the equation of a line parallel to y = x + 2 and containing point (0, 5)
y = x + 5

19. 4 - $300
Write the equation of a line parallel to y = 3x + 4 and containing point (1, 3)
y = 3x + 0

20. 4 - $400
Write the equation of a line parallel to y = 1/3x and containing the point (2, 4)
y = 1/3x – 10/3
also accepted y = 1/3x – 3.33

21. 4 - $500
Write the equation of line parallel to y = -x – 5 and contains point (-3, 6)
y = -x + 3
or y = -1x + 3

22. 5 - $100
Write the equation of a line that is perpendicular to y = 5/6x + 8
y = -6/5x ± b

23. 5 - $200
Write the equation of a line that is perpendicular to y = 10x – 8 and passes through point (0,1)
y = -1/10x + 1

24. 5 - $300
Write the equation of a line that is perpendicular to y = -2x +5 and contains point (-4, 5)
y = 1/2x -3

25. 5 - $400
Write the equation of a line that is perpendicular to y = -3/7 x – 4) and contains point (3,-5)
y = 7/3x – 12

26. 5 - $500
Write the equation of a line that is perpendicular to y = 2/9x + 6 and contains the point (-4, 6)
y = -9/2x – 12

27. Final Jeopardy
Where is the understanding of slope, parallel and perpendicular lines applicable outside of the classroom?
Answers may vary … use as opportunity for a class discussion.