Midpoint and Distance in the Coordinate Plane

Midpoint Formulas

​What is the midpoint of the segments containing the endpoints 2 and -8?

Multiple Choice

Answer:

• 3

• 10

• -10

• -3

​What is the midpoint of the segments containing the endpoints 7 and 18

Multiple Choice

Answer:

• 11

• 25

• 12.5

• unknown

​What is the midpoint of the segments containing the endpoints -7 and 6

Multiple Choice

Answer:

• -13

• -1/2

• 13

• 1/2

​What is the midpoint of the segments containing the endpoints -10 and 4

Fill in the Blank

Answer

​What is the midpoint of the segment with endpoints at -8 and 6?

Fill in the Blank

Answer:

​Midpoint in the Coordinate Plane

Let E(7,5) be (x1,y1) and F(2,-4) be (x2,y2)

Multiple Choice

Answer:

• (0,3)

• (3,0)

• (-3,0)

• (0,-3)

Multiple Choice

Answer:

• (-4,2)

• (4,2)

• (4,-2)

• (-4,-2)

Multiple Choice

Answer:

• (-7/2, -1)

• (-7/2, 1)

• (7/2, 1)

• (7/2, -1)

​What if we know the midpoint and an endpoint??

​Given segment XY has a midpoint at (5, -8) and

X (0, 4) find Y.​

​So Y = (10, -20)

​Given segment XY has a midpoint at (5, -8) and X (5, -15 ) find Y.​

Multiple Choice

Answer:

• (5,-1)

• (5,-22)

• (10, 3)

​Given segment XY has a midpoint at (5, -8) and X (1, 12) find Y.​

Multiple Choice

Answer:

• (-3, -28)

• (9, 32)

• (9, -28)