Finding the Midpoint of a Segment on the Cartesian Plane

The video tutorial explains how to find the midpoint of a segment on the Cartesian plane. It begins with a graphical representation, showing how the midpoint is located between two points, A and B. The tutorial then introduces the algebraic method, using the midpoint formula to calculate the midpoint's coordinates. An example is provided, demonstrating the calculation with specific coordinates, resulting in a midpoint with an abscissa of 3 and an ordinate of -4.5. The tutorial concludes with a summary of the process.

What is the main goal of the lesson?

• To find the area of a triangle

• To find the slope of a line

• To find the midpoint of a segment

• To find the length of a segment

Which points are used as the endpoints of the segment?

• Points E and F

• Points G and H

• Points C and D

• Points A and B

What is the first step in graphically representing the segment?

• Drawing points A and B

• Drawing the x-axis

• Drawing the midpoint

• Drawing the y-axis

What does the midpoint's x-coordinate represent graphically?

• The average of the y-coordinates of points A and B

• The difference between the x-coordinates of points A and B

• The sum of the x-coordinates of points A and B

• The average of the x-coordinates of points A and B

What is the formula for the x-coordinate of the midpoint?

• (X_A + X_B) / 2

• (X_A * X_B) / 2

• (X_A - X_B) / 2

• (X_A / X_B) / 2

If X_A is 5 and X_B is 1, what is the x-coordinate of the midpoint?

• 5

• 4

• 3

• 2

What is the formula for the y-coordinate of the midpoint?

• (Y_A / Y_B) / 2

• (Y_A * Y_B) / 2

• (Y_A - Y_B) / 2

• (Y_A + Y_B) / 2

If Y_A is -6 and Y_B is -3, what is the y-coordinate of the midpoint?

• -3

• -4.5

• -5

• -6

What is the final midpoint of the segment with coordinates A(5, -6) and B(1, -3)?

• (3, -3.5)

• (2, -3.5)

• (2, -4.5)

• (3, -4.5)

What can you do with the y-coordinate of the midpoint?

• Ignore it

• Leave it as a fraction or convert it to a decimal

• Only leave it as a fraction

• Only convert it to a decimal