Coordinates and Ratio of a Line Segment

A line segment is divided into to parts. The division of the segment is carried out in different ratios. The line segment need not be horizontal or vertical.

Three coordinate, P(a,b), Q(x, y) and R(c, d) that are on a line segment are related in such a way that PQ:QR = m:n

After introduction, three different examples are provided.

1. Given P(a, b) and R(c, d) and PQ:QR, the coordinates of Q(x, y) is be found.

2. All three coordinates are given and the ratio of PQ:QR is sought.

3. The intermediate coordinate, Q(x, y), the ratio PQ:QR and one other coordinate is given to find the third coordinate.

This qualifies for full lesson.

Additional exercises with answers provided.