Understanding Perpendicular Bisectors

The video tutorial explains how to find the perpendicular bisector of a line segment. It covers calculating the midpoint, determining the slope of the original line, and finding the slope of the perpendicular line. The tutorial then guides viewers through formulating the equation of the perpendicular bisector and graphing it. The video concludes with a brief overview of the process and encourages viewers to explore more math tutorials.

What is the primary goal when finding a perpendicular bisector of a line segment?

• To find a line parallel to the segment

• To find a line that bisects the segment at a right angle

• To find the midpoint of the segment

• To find the length of the segment

How do you calculate the midpoint of a line segment with endpoints (1, 2) and (5, 4)?

• (3, 4)

• (4, 3)

• (2, 3)

• (3, 3)

What is the formula used to find the slope of a line segment?

• (y1 + y2) / 2

• (x1 + x2) / 2

• (y2 - y1) / (x2 - x1)

• (x2 - x1) / (y2 - y1)

If the slope of a line is 1/2, what is the slope of a line perpendicular to it?

• 2

• -2

• -1/2

• 1/2

What is the slope-intercept form of a line?

• x = b + my

• y = b + mx

• y = mx + b

• x = my + b

Given a point (3, 3) and a slope of -2, what is the y-intercept of the line?

• 12

• 9

• 6

• 3

What is the equation of the line with a slope of -2 passing through the point (3, 3)?

• y = -2x + 3

• y = -2x + 9

• y = -2x + 12

• y = -2x + 6

What is the significance of the y-intercept in the equation of a line?

• It is the point where the line crosses the x-axis

• It is the slope of the line

• It is the point where the line crosses the y-axis

• It is the midpoint of the line

What does the graph of a line with a slope of -2 look like?

• It rises 1 unit for every 2 units it runs

• It falls 1 unit for every 2 units it runs

• It rises 2 units for every 1 unit it runs

• It falls 2 units for every 1 unit it runs

What is the final step in finding the equation of a perpendicular bisector?

• Finding the midpoint

• Solving for the y-intercept

• Graphing the line

• Calculating the slope