5. What theorem do Exercises 1-4 prove? (1 point)
Triangle Inequality Theorem
Converse of the Angle Bisector Theorem
Angle Bisector Theorem
Triangle Midsegment Theorem
We do not have access to the problems to help you.
To determine which theorem is proven by exercises 1-4, we need to understand what each theorem states. Let's take a look at each theorem:
1. Triangle Inequality Theorem:
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
2. Converse of the Angle Bisector Theorem:
The Converse of the Angle Bisector Theorem states that if a point lies on the interior of an angle and divides the angle into two congruent angles, then the point lies on the angle bisector.
3. Angle Bisector Theorem:
The Angle Bisector Theorem states that if a ray bisects an angle of a triangle, then it divides the opposite side into two segments that are proportional to the lengths of the other two sides.
4. Triangle Midsegment Theorem:
The Triangle Midsegment Theorem states that the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length.
Now, we can determine the theorem that exercises 1-4 prove. Since we know what each theorem states, we need to consider the information given in the exercises. Based on the information provided in the question, we do not have specifics about the exercises themselves. Therefore, without any additional information, it is not possible to determine which theorem exercises 1-4 prove.