Finding Midpoints and Endpoints with the Midpoint Formula

The video tutorial covers the concept of midpoints, including how to calculate them both algebraically and graphically. It provides examples with different coordinates and explains how to find endpoints when given a midpoint. The tutorial also touches on the concept of perpendicular slopes and how to create equations of lines that are perpendicular to a given line.

What does a midpoint do to a segment?

• Divides it into two congruent parts

• Divides it into two unequal parts

• Shortens the segment

• Extends the segment

Which notation is used for midpoint?

• Lowercase n

• Uppercase M

• Uppercase N

• Lowercase m

How do you find the x-coordinate of a midpoint?

• Add the x-values of the endpoints and divide by two

• Divide the x-values of the endpoints by two

• Multiply the x-values of the endpoints and divide by two

• Subtract the x-values of the endpoints and divide by two

What are the coordinates of the midpoint between (1, 3) and (5, 3)?

• (3, 4)

• (4, 3)

• (2, 3)

• (3, 3)

When dealing with negative coordinates, what should you be careful about?

• Subtracting the coordinates

• Adding the coordinates

• Handling the signs correctly

• Multiplying the coordinates

What is the midpoint of (-1, -2) and (5, -2)?

• (2, -2)

• (1, -2)

• (4, -2)

• (3, -2)

If given one endpoint and the midpoint, how do you find the other endpoint?

• By guessing

• By using the midpoint formula in reverse

• By using the distance formula

• By using the slope formula

What is the other endpoint if one endpoint is (-3, 1) and the midpoint is (2, 1)?

• (2, 2)

• (5, 1)

• (1, 1)

• (7, 1)

What must be true about the slopes of two perpendicular lines?

• They must be zero

• They must be equal

• They must be positive reciprocals

• They must be negative reciprocals

What do you need to create the equation of a line?

• Only the slope

• Only the y-intercept

• Both the slope and y-intercept

• Only the x-intercept