#### Answer

The reasons for each statement are as follows:
1. Given
2. Definition of a midpoint.
3. The midpoint of a triangle is half the length of the third side.
4. These are simply the statements above written as ratios.
5. We use the transitive property (since they are all equal to 1/2.)
6. SSS

#### Work Step by Step

1-Given
2-by definition of midpoint.
3-by theorem “ a line segment joining the midpoints of two sides of a triangle is equal half the length of the base “.
4- from step two we use the division property of equality.
5- since all the ratio in step four are equal half, then using substitution we obtain the statement.
6-by SSS~