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). a) (35, 10) b) (20, 10) c) (10, 7.5) d) (17.5, 5)

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 = [ (0 + 20 ), (15 + 0)] = (10, 7.5 )

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

and y - coordinate will be =

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

the answer is b.)

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