Problem

Point $\mathrm{C}$ has coordinates $(22,18)$. Point D has coordinates $(10,28)$.
What are the coordinates of the midpoint of line $\mathrm{CD}$ ?

Answer

Expert–verified
Hide Steps
Answer

\(\boxed{(16.0, 23.0)}\) is the coordinates of the midpoint of line CD.

Steps

Step 1 :Given point C has coordinates \((22, 18)\) and point D has coordinates \((10, 28)\).

Step 2 :To find the midpoint of line CD, we need to find the average of the x-coordinates and the average of the y-coordinates of points C and D.

Step 3 :Midpoint_x = \(\frac{22 + 10}{2} = 16.0\)

Step 4 :Midpoint_y = \(\frac{18 + 28}{2} = 23.0\)

Step 5 :\(\boxed{(16.0, 23.0)}\) is the coordinates of the midpoint of line CD.

link_gpt