Medians, Altitudes, and Right Bisectors

This video tutorial explains how to write equations for the median, right bisector, and altitude of a triangle. It begins with definitions and then demonstrates the process through examples, including calculating slopes, midpoints, and y-intercepts. The tutorial also covers the use of negative reciprocals for perpendicular lines and applies these concepts to a second triangle example.

What is the primary focus of this lesson?

• Learning about medians, right bisectors, and altitudes in triangles

• Exploring the Pythagorean theorem

• Understanding the properties of circles

• Studying the properties of quadrilaterals

Which equation form is used to describe the relationship between x and y coordinates on a line?

• y = mx + b

• y = a/x + b

• y = ax^2 + bx + c

• y = x^2 + 2x + 1

What is the purpose of the midpoint formula in this lesson?

• To find the area of a triangle

• To calculate the slope of a line

• To determine the midpoint of a line segment

• To find the length of a line segment

In triangle ABC, where does the median from vertex C extend to?

• The midpoint of side AC

• The centroid of the triangle

• The midpoint of side BC

• The midpoint of side AB

How do you calculate the slope of a line?

• By finding the average of x-coordinates

• By using the formula (y2 - y1) / (x2 - x1)

• By finding the average of y-coordinates

• By adding the x and y coordinates

What is the equation of the median from vertex C in triangle ABC?

• y = -3x + 7

• y = 3x + 2

• y = -7/3x - 5/3

• y = 5x - 3

What is a right bisector?

• A line that passes through the midpoint of a line segment and intersects it at a 90-degree angle

• A line that divides a triangle into two equal areas

• A line that connects the vertices of a triangle

• A line that is parallel to one side of a triangle

How do you find the slope of a right bisector?

• By using the midpoint formula

• By calculating the negative reciprocal of the slope of the line segment it bisects

• By finding the average of the x-coordinates

• By finding the average of the y-coordinates

What is the equation of the right bisector of line segment AB?

• y = 3x - 2

• y = -3x + 5

• y = -5x - 7

• y = 2x + 3

What is an altitude in a triangle?

• A line segment from a vertex that forms a 90-degree angle with the opposite side

• A line that is parallel to the base

• A line that divides the triangle into two equal areas

• A line that connects the midpoints of two sides