Perpendicular Bisectors and Slopes

The video tutorial from MooMooMath introduces the Perpendicular Bisector Theorem, explaining the concept of perpendicular bisectors and their properties. It demonstrates how points on a perpendicular bisector are equidistant from the segment's endpoints, leading to congruent triangles. The video applies the theorem through diagrams and algebraic problems, showing how to solve for unknowns. It concludes with finding the equation of a perpendicular bisector using midpoint and slope calculations.

What does it mean for two lines to be perpendicular?

• They are parallel to each other.

• They form an acute angle.

• They intersect at a right angle.

• They never intersect.

What is the significance of a point on the perpendicular bisector of a segment?

• It is the midpoint of the segment.

• It is equidistant from both endpoints.

• It forms an acute angle with the segment.

• It is closer to one endpoint than the other.

In the first diagram, if TV is 14, what is the length of RV?

• 14

• 16

• 28

• 7

If segment AB is bisected by DC and one side is 2.5, what is the total length of AB?

• 2.5

• 7.5

• 10

• 5

In the algebraic problem, if 3x + 1 = 5x - 3, what is the value of x?

• 1

• 2

• 3

• 4

What is the length of segment HJ if x = 2?

• 5

• 8

• 7

• 6

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

• Find the midpoint of the segment.

• Find the slope of the segment.

• Find the endpoints of the segment.

• Find the length of the segment.

What is the relationship between the slopes of a line and its perpendicular bisector?

• They are both zero.

• They are both positive.

• They are negative reciprocals.

• They are equal.

If the slope of AB is -4/3, what is the slope of its perpendicular bisector?

• 3/4

• -3/4

• 4/3

• -4/3

What is the equation of the perpendicular bisector if the midpoint is (3,1) and the slope is 3/4?

• y + 1 = -3/4(x + 3)

• y - 1 = -3/4(x - 3)

• y + 1 = 3/4(x + 3)

• y - 1 = 3/4(x - 3)