Question

HURRRRYYY 20 PTS What is the midpoint of CD?

Answer 1

Answer:  The correct option is

(A) $\left(\dfrac{1}{2},-\dfrac{5}{2}\right).$

Step-by-step explanation:  We are given to find the mid-point of the line segment CD shown in the graph.

From the graph, we note that

the co-ordinates of the endpoints of the line segment CD are (-3, -4) and D(4, -1).

We know that

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

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

Therefore, he co-ordinates of the midpoint of line segment CD are

$M=\left(\dfrac{-3+4}{2},\dfrac{-4+(-1)}{2}\right)=\left(\dfrac{1}{2},-\dfrac{5}{2}\right).$

Thus, the required midpoint of CD is $\left(\dfrac{1}{2},-\dfrac{5}{2}\right).$

Option (A) is CORRECT.

Answer 2

To find the midpoint, add both x values together and divide by two and then add both y values together and divide by two.

Midpoint X = (-3 +4)/2 = 1/2

Midpoint y = (-4 + -1)/2 = -5/2

Midpoint = (1/2, -5/2)