Midpoint and Segment Length Problems

This video tutorial covers the concept of midpoints in geometry, explaining how a midpoint divides a segment into two congruent parts. It introduces the use of tick marks to denote congruence and explains segment bisectors. The tutorial includes example problems to demonstrate the application of the midpoint formula and finding midpoints on a coordinate grid. It also covers how to find endpoints using the midpoint and slope. The video concludes with a summary of the key points discussed.

What is the purpose of using tick marks on a diagram?

• To indicate the midpoint of a segment

• To identify the endpoints of a segment

• To show that segments are congruent

• To measure the length of a segment

Which of the following can be a segment bisector?

• A ray

• A point

• A line

• All of the above

If RM is 17 and MS is unknown, what is the length of RS?

• 18

• 9

• 34

• 17

How do you solve for x in the equation 4x - 1 = 3x + 3?

• Add 1 to both sides and subtract 3x

• Add 3 to both sides and subtract 4x

• Subtract 3 from both sides and add 4x

• Subtract 1 from both sides and add 3x

What is the final length of VM if x equals 4?

• 16

• 12

• 14

• 15

How do you calculate the midpoint of a segment on a coordinate grid?

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

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

• Divide the x-values and y-values separately, then add each by 2

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

What is the midpoint of segment AB with endpoints A(1, 2) and B(7, 8)?

• (6, 7)

• (5, 6)

• (3, 4)

• (4, 5)

What is the midpoint of segment RS with endpoints R(1, -3) and S(4, 2)?

• (3.5, 1)

• (3, 0)

• (2, -1)

• (2.5, -0.5)

If the midpoint of JK is (2, 1) and one endpoint is J(1, 4), what is the other endpoint K?

• (3, -2)

• (2, 3)

• (4, 0)

• (1, 2)

What is the slope used to find the endpoint K from the midpoint M(2, 1) and endpoint J(1, 4)?

• Down 3, right 1

• Up 3, left 1

• Up 1, right 3

• Down 1, left 3