# Midsegment - Examples, Exercises and Solutions

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.

## Examples with solutions for Midsegment

### Exercise #1

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

Not true

### Exercise #2

Below is an isosceles trapezium.

EF is parallel to the base of the trapezium.

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

True

### Exercise #3

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

No

### Exercise #4

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

11

### Exercise #5

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

12

### Exercise #6

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

15

### Exercise #7

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

4.5

### Exercise #8

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

4

### Exercise #9

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

5

### Exercise #10

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

4

### Exercise #11

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

7

### Exercise #12

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

7

### Exercise #13

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

9

### Exercise #14

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