Question

Find the coordinates of the midpoint of XL if X is at (-3, 4) and and Lis at (7,12
A
(24)
(2,8)
(4,16)
(5,8)

Answer 1

2,8 x plus x divided by 2 y plus y divided by 2

Answer 2

Answer:  The correct option is (B) (2, 8).

Step-by-step explanation:  We are given to find the co-ordinates of the midpoint of XL if X is at (-3, 4) and and L is at (7,12).

We know that

the co-ordinates of the midpoint of a line segment with endpoints (a, b) and (c, d) are given by

$\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).$

Therefore, the co-ordinates of the midpoint of XL are given by

$\left(\dfrac{-3+7}{2},\dfrac{4+12}{2}\right)\\\\\\=\left(\dfrac{4}{2},\dfrac{16}{2}\right)\\\\=(2,8).$

Thus, the required co-ordinates of the midpoint are (2,8).

Option (B) are CORRECT.