Midpoints and Segment Lengths

The video tutorial explains how to find the measures of line segments using given information about other segments and midpoints. It emphasizes the importance of diagrams in solving these problems. Two example problems are solved: one to find the length of segment EH and another to find the length of segment QT, both using the concept of midpoints and segment addition.

What is the first step in solving problems involving line segments and midpoints?

• Draw a diagram or fill in the given diagram with information.

• Ignore the midpoint information.

• Start with the longest segment.

• Guess the lengths of all segments.

In the first example, what is the relationship between points G, E, and H?

• H is between E and G.

• G is the midpoint of EH.

• G is between E and H.

• E is the midpoint of GH.

If FG is 8 and F is the midpoint of EG, what is the length of EG?

• 11

• 19

• 16

• 8

How do you find the length of EH in the first example?

• Add the lengths of FG and GH.

• Subtract the length of FG from FH.

• Add the lengths of EG and GH.

• Multiply the length of FG by 2.

What is the total length of EH in the first example?

• 19

• 11

• 8

• 16

In the first example, what is the length of FH?

• 3

• 19

• 8

• 11

What is the length of the segment from F to G in the first example?

• 11

• 8

• 3

• 19

In the second example, what is the relationship between points S, R, and T?

• S is the midpoint of RT.

• R is the midpoint of ST.

• T is between S and R.

• R is the midpoint of QS.

If RT is 12 and S is the midpoint, what is the length of RS?

• 8

• 6

• 12

• 4

How do you find the length of QT in the second example?

• Multiply the length of QS by 2.

• Add the lengths of RS and ST.

• Subtract the length of QS from RT.

• Add the lengths of QS and ST.