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Name: Date: BSGE Geometry Period Geometry Unit 6 Coordinate Geometry 17-GO: How do we determine the coordinate of directed segments? Sometimes we need to determine different locations other than just the midpoint of a segment. We can use a concept called partitioning a line segment in the coordinate plane. A directed segment is a segment that has distance flength) and direction. It is Important to understand that a directed segment has a starting point referred to as the "initial point EX : In the following graph, segment AB has endpoints at (0.10) and B(15,0). We want to locate point Pon AB such that AP: PB = 3:2. The origin has been marked as point o. (a) Draw MOB below without the grid and mark the approximate location of Pon AB. (b) on your diagram above, draw a vertical line from P'down to side OB Mark the intersection Why must PC be parallel to OA? (c) What is the ratio of OCCB ? Explain. Then, algebraically find the coordinates of C. (d) What are the coordinates of P? WEDO EX 2: Segment AB lies in the coordinate plane with point P on segment AB such that AP: PB=1:1. If the endpoints are at 4(-2,13) and B(8.5) then answer the following questions (a) What can you say based on the givens about the lengths of AP and PB? Draw a picture to help. (b) What special point is p on line segment AB ? Find the coordinates of P.