Partitioning a Line Segment Quiz

The midpoint of MN is point P at (-4, 6). If point M is at (8, -2), what are the coordinates of point N?

A. (-16, 14)

The midpoint of UV is point W. What are the coordinates of point V?

(2, -23)

The midpoint of JK is point L at (-1, 8). One endpoint is J(4, -15). Which equations can be solved to determine the coordinates of the other endpoint, K? Select two options.

A & C

The endpoints of CD are C(-8, 4) and D(6, -6). What are the coordinates of point P on CD such that P is the length of the line segment from D?

A. (-2.75, 0.25)

The endpoints of RS are R(-5, 12) and S(4, -6). What are the coordinates of point T, which divides RS into a 4:5 ratio?

B. (-1, 4)

Point T, the midpoint of segment RS, can be found using the formulas x = (6 - 2) + 2 and y = (4 - 6) + 6. What are the coordinates of point T?

C. T(4, 5)

Segment GH is shown on the graph. What are the coordinates of the point that divides the segment into a 3:2 ratio?

D. (-2.2, -1.2)

Segment AB is shown on the graph. Which shows how to find the x-coordinate of the point that will divide into a 2:3 ratio using the formula ?

D. x = (2+3) − 3

If the endpoints of AB are A(-2, 3) and B(1, 8), which shows the correct way to determine the coordinates of point C, the midpoint of AB?

NOT A: maybe B?

Line segment has endpoints A(-4, -10) and B(-11, -7). To find the x-coordinate of the point that divides the directed line segment in a ratio, the formula was used to find that . What is the x-coordinate of the point that divides into a 3:4 ratio?

NOT C