Question

If m is the midpoint of ST, write an equation that describes the relationship between ST and MT

Answer 1

Answer:

ST is two times MT

Step-by-step explanation:

we know that

ST=SM+MT -----> equation A (by addition segment postulate)

If m is the midpoint of ST

then

SM=MT -----> equation B

Substitute equation B in equation A

ST=(MT)+MT

ST=2MT

therefore

ST is two times MT

Answer 2

Answer:

$2 \text{MT} = \text{ST}$ OR

$\text{MT}=\frac{1}{2} \text{ST}$

Step-by-step explanation:

We have, $\text{M}$ is the mid point of $\text{ST}$.

We know that a mid point divides a line segment into two equal parts.

So, $\text{SM} = \text{MT}$

Also, $\text{M}$ is the point on line segment $\text{ST}$.

So, $\text{SM} + \text{MT} = \text{ST}$

Now, substituting $\text{MT}$ in place of $\text{SM}$

We get,

$\text{MT} + \text{MT} = \text{ST}$

$2 \text{MT} = \text{ST}$

OR

$\text{MT}=\frac{1}{2} \text{ST}$