Perpendicular Bisectors and Slope Concepts

This video tutorial explains how to determine the perpendicular bisector of a segment on the coordinate plane. It covers the properties of perpendicular bisectors, including congruent segments and right angles. The tutorial demonstrates how to find the midpoint of a segment and calculate the slope, emphasizing the concept of negative reciprocals. Finally, it guides viewers through deriving the equation of the perpendicular bisector using the point-slope form and verifies it through graphing.

What does a perpendicular bisector do to a segment?

• Cuts it into two unequal parts

• Cuts it into two congruent segments

• Makes the segment longer

• Changes the color of the segment

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CCSS.HSG.CO.C.9

What is the measure of the angle formed by the intersection of a perpendicular bisector and a segment?

• 45 degrees

• 60 degrees

• 90 degrees

• 120 degrees

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CCSS.HSG.CO.A.1

What is the first step in determining the equation of a perpendicular bisector?

• Find the slope of the segment

• Determine the midpoint of the segment

• Measure the length of the segment

• Graph the segment

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CCSS.HSG.CO.A.1

What is the slope of the perpendicular bisector if the slope of the segment is 1?

• 2

• 0

• -1

• 1

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CCSS.HSG.GPE.B.6

What are the coordinates of the midpoint if the endpoints of the segment are (-3, -4) and (5, 0)?

• (1, -2)

• (2, -1)

• (0, 0)

• (-1, 2)

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CCSS.8.EE.B.5

How do you calculate the slope of a segment?

• Multiply the x-coordinates and y-coordinates

• Add the x-coordinates and y-coordinates

• Divide the difference of y-coordinates by the difference of x-coordinates

• Subtract the x-coordinates and y-coordinates

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CCSS.8.EE.B.5

What is the slope of the segment if the endpoints are (-3, -4) and (5, 0)?

• 1/2

• -1

• 1

• -1/2

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CCSS.HSF-BF.B.4D

What is the negative reciprocal of 1/2?

• 1/2

• -1/2

• 2

• -2

Which form can be used to find the equation of a line given a slope and a point?

• Quadratic form

• Point-slope form

• Slope-intercept form

• Standard form

What is the equation of the perpendicular bisector if the slope is -2 and it passes through (1, -2)?

• y = 2x + 2

• y = -2x + 2

• y = -2x

• y = 2x