Test 4 Study Guide Review (DLS, Volume, Area)

1 Given the points A(-1,2) and B(7,8), find the coordinates of the point P on the directed line segment AB that partitions AB in the ratio 1:3.

(enter answer an an ordered pair. DO NOT use the space bar)

2 If A(4,1) and B(-3,0). Find the point that divides AB two-thirds of the way from A to B.

3 Find the coordinates of P so that P partitions AB in the ratio of 1 to 3 with A(-5,4) and B(7,-4).

(Enter answer as an ordered pair. DO NOT use the space bar)

• T

• S

6 How many feet of fencing will the homeowner need to build the dog pen?

Round to the nearest tenth. Enter number only.

6 The homeowner wants to elevate the dog yard so it doesn't flood and purchases 100 square feet of dirt. Did the homeowner purchase enough dirt to cover the entire yard?

• Yes

• No

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

Enter answer as an ordered pair. DO NOT use the space bar.

8 Find the coordinates of P so that P partitions AB in the ratio 3:4 with A(-9,-9) and B(5,-2)

9 For the directed line segment whose endpoints are (0,0) and (4,3), find the coordinates of the point that partitions the segment into a ratio of 3 to 2.

• (2.4, 1.8)
• (4, 3)
• (1.6, 1.2)

• (3, 2)