Distance and Midpoint Formula Challenge

The video tutorial covers the concepts of midpoints and segment bisectors, explaining their definitions and visual representations. It introduces the distance and midpoint formulas, demonstrating their application on both number lines and coordinate planes. The tutorial includes examples of calculating distances and midpoints using ordered pairs and number lines. It also covers finding missing coordinates using the midpoint formula and verifying midpoints through segment addition.

What is the definition of a midpoint?

• A point that divides a segment into two congruent segments

• A point that divides a segment into two unequal parts

• A point that is outside the segment

• A point that is at the end of a segment

What does a segment bisector do?

• It is perpendicular to the segment

• It is parallel to the segment

• It intersects a segment at its midpoint

• It divides a segment into three equal parts

Which formula is used to find the length of a segment on a coordinate plane?

• Area formula

• Distance formula

• Midpoint formula

• Slope formula

How do you calculate the midpoint of two points on a coordinate plane?

• Divide the x-coordinates and y-coordinates separately, then add each quotient

• Subtract the x-coordinates and y-coordinates separately, then divide each difference by 2

• Add the x-coordinates and y-coordinates separately, then divide each sum by 2

• Multiply the x-coordinates and y-coordinates separately, then divide each product by 2

What is the distance between points A(3, -4) and B(-1, 1) on a coordinate plane?

• 5

• 8.6

• 6

• 7.3

If the midpoint of segment RS is (8, -3) and S is (-1, 5), what are the coordinates of R?

• (17, -11)

• (15, -8)

• (10, -5)

• (12, -7)

What is the measure of PR if Q is the midpoint and PQ = 6 - 3x, QR = 6 - 3x, and PR = 14x + 2?

• 10

• 9

• 8

• 7

If W is between X and Y, WX = 6n - 10, XY = 17, and WY = 3n, what is the value of n?

• 4

• 3

• 2

• 5

Given n = 3, what is the length of WX if WX = 6n - 10?

• 6

• 8

• 9

• 7

Is W the midpoint if WX = 8 and WY = 9?

• Yes, because WX and WY are equal

• No, because W is not on the segment

• Yes, because W is between X and Y

• No, because WX and WY are not equal