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 $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 Final Jeopardy

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

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

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

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

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

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

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)

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)

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)

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)

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

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

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

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

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

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

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

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

4 - $400 Write the equation of a line parallel to y = 1/3x + 7 and containing the point (2, 4) y = 1/3x – 10/3 also accepted y = 1/3x – 3.33

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

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

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

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

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

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

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.