Question

what is the midpoint of the segment shown below (2 2) (3 5) a. (5/2, 7/2) b. (5, 7) c. (5/2, 7) d. (5, 7/2)

Answer 1

Answer:

$( \frac{5}{2} \: , \frac{7}{2} )$

Option A is the correct option.

Step-by-step explanation:

Let the points be A and B

A ( 2 , 2 ) ------> ( x1 , y1 )

B ( 3 , 5 ) -------> ( x2 , y2)

Now, let's find the mid-point :

Midpoint = $(\frac{x1 + x2}{2} \:, \frac{y1 + y2}{2} )$

plug the values

$= ( \frac{2 + 3}{2} \: , \frac{2 + 5}{2} )$

Calculate the sum

$= \: ( \frac{5}{2} \:, \frac{7}{2} )$

Hope this helps..

Best regards!!