Segment Partitions

Points C, D, E are collinear on segment CE, and CD:CE is 3 to 5. C(1,3) and E(8, 4). what are the coordinates of D?

• (6.6 , 3.8)

• (29, 7)

• (-4.6, 2.2)

• ( 5.2, 3.6)

Directed line segment AB is partitioned by point P into a ratio of 1:3. Which of the following represent this relationship?

• 
• 
• 
• 

Find the coordinates of P so that P partitions segment AB in the ratio 5:1 with A(2, 4) and B(8, 10).

• (7,9)

• (9,7)

• (-3,9)

• (5,1)

Given the points A(-2 4) and B(7, -2), find the coordinates of the point P on directed line segment AB in the ratio 1:2.

• (0, 1)

• (0, -1)

• (1,2)

• (2,1)

Is the ratio of the directed line segment AB the same as segment BA when partitioned by point P?

• Yes

• No

Given the points A(-1,2) and B(7,14), find the coordinates of the Point P on the directed line segment AB that partitions AB in the ratio 1:3.

• (1,5)

• (0,4)

• (3, 1)

• (-1, 1)

(show work) Find the coordinates of P so that P partitions segment AB in the ratio 5:1 with A(2, 4) and B(8, 10).

• (7,9)

• (9,7)

• (-3,9)

• (5,1)

(show work) Points C, D, E are collinear on segment CE, and CD:CE is 3 to 5. C(1,3) and E(8, 4). what are the coordinates of D?

• (6.6 , 3.8)

• (29, 7)

• (-4.6, 2.2)

• ( 5.2, 3.6)

Find the point C that breaks the directed segment AB in to a ratio of 1:1

Write your answer in the coordinate form (x, y)

• (-2, 1)

• (-1, -0.5)

• (-1, -1)

• (-0.5, -1)