Question

S is the midpoint of RT implies RS = ST.
State the hypothesis.

Answer 1

The hypothesis is: If S is the midpoint of RT, then RS = ST.

Step-by-step explanation:

In a triangle, the midpoint of a side is the point that divides the side into two equal parts. If S is the midpoint of side RT, then this implies that RS and ST are both half the length of RT.

Therefore, RS and ST are congruent (equal in length) since they are both equal to half the length of RT. In mathematical notation, we can express this as:

If S is the midpoint of RT, then RS = ST. This is known as the converse of the Midpoint Theorem, which states that if RS and ST are congruent, then S is the midpoint of RT. The hypothesis presented here is a statement about the converse of this theorem.