Directed Line Segments and Modeling Quiz

What is the x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5?

-2

The midpoint of a line segment partitions the line segment into a ratio of

1:1.

What are the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2?

(0, 1)

What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1?

0

What are the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4?

NOT (-5, 0) (-7, -1)

At what meter mark will Ario be when Miguel starts the race? Round to the nearest tenth. Miguel and his brother Ario are both standing 3 meters from one side of a 25-meter pool when they decide to race. Miguel offers Ario a head start. Miguel says he will start when the ratio of Ario's completed meters to Ario's remaining meters is 1:4.

NOT 4.4 meters

What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 5:8? Round to the nearest tenth, if necessary.

(1.2, -4.7)

Where will her cut be located? Round to the nearest tenth. Genevieve is cutting a 60-inch piece of ribbon into a ratio of 2:3. Since 2 inches are frayed at one end of the ribbon, she will need to start 2 inches in. This is indicated as 2 on the number line.

25.2 in.

What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:3?

5

If point P is 9/11 of the distance from M to N, what ratio does the point P partition the directed line segment from M to N into?

9:2

On a number line, the directed line segment from Q to S has endpoints Q at -8 and S at 12. Point R partitions the directed line segment from Q to S in a 4:1 ratio.

B

What are the x- and y- coordinates of point P on the directed line segment from A to B such that P is 1/3 the length of the line segment from A to B?

NOT (-5, -7)

What is the location of point G, which partitions the directed line segment from F to D into an 8:5 ratio?

NOT 4 or 2

Point P partitions the directed line segment from A to B into the ratio 3:4. Will P be closer to A or B? Why?

P will be closer to A because it will be 3/7 the distance from A to B.