The midsegment is a line segment that connects the midpoints of 2 sides.

Midsegment of a Triangle

The midsegment of a triangle crosses the middle of two sides, is parallel to the third side
and is also half its length.

Practice Middle segment

examples with solutions for middle segment

Exercise #1

Given an isosceles trapezoid, is the dashed segment a middle segment of the trapezoid?

Video Solution

Answer

Not true

Exercise #2

Is the dashed segment the midsegment of the isosceles trapezoid below?

Video Solution

Answer

No

Exercise #3

In which figure is the dotted line the midsegment in the trapezoid?

Video Solution

Answer

Exercise #4

In which figure is the dashed line the midsection of the trapezoid?

Video Solution

Answer

Exercise #5

Below is an isosceles trapezium.

EF is parallel to the base of the trapezium.

True or false: EF is the midsection of the trapezoid.

AAABBBDDDCCCEEEFFF

Video Solution

Answer

True

examples with solutions for middle segment

Exercise #1

Given that DE is a middle section in triangle ABC, what is the length of side DE?

666888101010AAABBBCCCEEEDDD

Video Solution

Answer

4

Exercise #2

Given that DE is a middle section in triangle ABC, what is the length of side DE?

444666101010AAABBBCCCDDDEEE

Video Solution

Answer

5

Exercise #3

Given that DE is a middle section in triangle ABC, what is the length of side DE?

121212999121212AAABBBCCCDDDEEE

Video Solution

Answer

4.5

Exercise #4

Given that DE is a middle section in triangle ABC, what is the length of side DE?

181818121212181818AAABBBCCCDDDEEE

Video Solution

Answer

9

Exercise #5

Given that DE is a middle section in triangle ABC, what is the length of side DE?

222222666222222AAABBBCCCEEEDDD

Video Solution

Answer

11

examples with solutions for middle segment

Exercise #1

Given that DE is the middle section in triangle ABC, what is the length of side DE?

141414111111181818AAABBBCCCDDDEEE

Video Solution

Answer

7

Exercise #2

Given that DE is the middle section in triangle ABC, what is the length of side DE?

121212242424242424AAABBBCCCDDDEEE

Video Solution

Answer

6

Exercise #3

Given that DE is the middle section in triangle ABC, what is the length of side DE?

171717303030303030AAABBBCCCDDDEEE

Video Solution

Answer

15

Exercise #4

Given that DE is the middle section in triangle ABC, what is the length of side DE?

151515212121212121AAABBBCCCDDDEEE

Video Solution

Answer

7.5

Exercise #5

Given that DE is the middle section in triangle ABC, what is the length of side DE?

121212141414111111AAABBBCCCDDDEEE

Video Solution

Answer

7