Answer:
Step-by-step explanation:
Formula to calculate the distance between two points
and
is,
![d=√((x_2-x_1)^2+(y_2-y_1)^2)](https://img.qammunity.org/2023/formulas/mathematics/college/ryn3fzehb0ozllfgi4eom8sc1fxhgg6wgd.png)
Therefore, length of CD having coordinates C(3,1) and D(3, 3),
![CD=√((3-3)^2+(1-3)^2)](https://img.qammunity.org/2023/formulas/mathematics/college/l3tu188453j08lwnioned6pvhqxmf9qadg.png)
![units](https://img.qammunity.org/2023/formulas/sat/high-school/skpylx8skmk0q8jby7ab5dbksp3x9amq5h.png)
Formula to find the midpoint of CD is,
![M=(x_1+x_2)/(2),(y_1+y_2)/(2)](https://img.qammunity.org/2023/formulas/mathematics/college/1ee6zjjjheho7ghr4ojmmegrl8gbe0j9xy.png)
![=((3+3)/(2),(1+3)/(2))](https://img.qammunity.org/2023/formulas/mathematics/college/dj1fhzit6b6a7iyoinps3exdxi5w57htlo.png)
![=(3,2)](https://img.qammunity.org/2023/formulas/mathematics/college/4cvxn7ssob95c4gbb2wdi1eup1vgpja3nb.png)
Therefore, length of CD = 2 units and (3, 2) are the coordinates of the midpoint of CD.