Question

How do you find the point that partitions the segment between the two given endpoints (3,4) and (7,6) with a 1:1 ratio?

(a) (4,5)
(b) (5,5)
(c) (6,5)
(d) (4,6)

Answer 1

To find the point that partitions the segment between the two endpoints with a 1:1 ratio, use the midpoint formula. Applying the formula to the endpoints (3,4) and (7,6), the point that effectively splits the segment in equal parts is (5,5).

Step-by-step explanation:

To find the point that partitions the segment between the two given endpoints (3,4) and (7,6) with a 1:1 ratio, you would use the midpoint formula. The formula is given by:
M = ((x1 + x2)/2, (y1 + y2)/2)

Where M is the midpoint, (x1, y1) is the first point and (x2, y2) is the second point.

Applying the formula to the given points (3,4) and (7,6), we have:
M = ((3 + 7)/2, (4 + 6)/2) = ((10)/2, (10)/2) = (5,5)

Therefore, the point that partitions the segment with a 1:1 ratio is (5,5).