Question

Find the point, M, that divides segment AB into a ratio of 5:5 if A is at (0, 15) and B is at (20, 0).

Answer 1

Answer:

Option C). (10, 7.5)

Step-by-step explanation:

We have to find the coordinates of point M that divides the segment AB into a ratio of 5:5.

Vertices A and B are (0, 15) and (20, 0)

Ratio 5:5 is simply the ratio 1:1 means point M is the midpoint of segment AB.

So x-coordinate of M will be $\frac{(20+0)}{2}=10$

and y - coordinate will be = $\frac{(15+0)}{2}=7.5$

Therefore Option C. (10, 7.5) are the coordinates of point M.

Answer 2

C

a ratio of 5 : 5 simplifies to 1 : 1, which basically means we require the midpoint of the line segment

using the midpoint formula

M = [$\frac{1}{2}$ (0 + 20 ), $\frac{1}{2}$ (15 + 0)] = (10, 7.5 )