Distance & Midpoint Formula

Distance

100

What is the distance formula?

d=√(x₂-x₁)²+(y₂-y₁)²

200

What is the distance between (8,11) and (8,4)?

7

300

Given the points A and B where A is at coordinates ( 2, -5 ) and B is at coordinates ( -3, -7 ) on the line segment AB, find the length of AB.

√29 or 5.39

400

Classify triangle ABC as scalene, isosceles, or equilateral A(3,1), B(4,2), C(1,3)

scalene

500

Classify triangle ABC as scalene, isosceles, or equilateral A(-4,3), B(4,3), C(0,4)

isosceles

Midpoint

100

What is the midpoint formula?

M(((x₁+x₂)/2),((y₁+y₂)/2)))

200

Given the points A and B where A is at coordinates ( 2,-5 ) and B is at coordinates ( -3,-7 ) on the line segment AB, find the midpoint of AB.

(-.5,-6)

300

Find the midpoint of the line segment AB where point A is at ( 0, 2 ) and point B is at ( -1, - 4 ).

(-.5,-1)

400

Find the midpoint of the line segment joining the points ( 1, - 4 ) and ( - 4, 2 )

(-1.5,-1)

500

What is the midpoint of the points A(-1, 4) and B(5, 2)

(2,3)

Distance Word Problems

100

Amy, and Ella are playing jump rope. Amy is standing at (5,6) and Ella is standing at (2,5). What is the distance between them?

√10 or 3.16

200

The teacher stands at (4,2) and a student is sitting at (2,2). What is the distance between the teacher and students?

2

300

Tommy's phone is ringing in the bedroom,(4,7), but he is in the living room,(8,2). What is the distance Tommy needs to go to pick up his phone?

√41 or 6.4

400

To get from his home to his girlfriend's home, Jimmy must drive around the library. If he drives 3 miles north, then 4 miles east, and finally 5 miles south, what is the straight-line distance between Jimmy's home and his girlfriend's home?

√20 or 4.47

500

Fred is at Bojangles which is 2 miles west and 4 miles north of the school. Barney is at Pelicans which is 4 miles east and six miles south of the school. How far apart are Fred and Barney?

√136 or 11.662

Midpoint Word Problems

100

Cindy was standing in between KFC and McDonalds. If McDonald is located at (4,8) and KFC is located at (-10,-8), where is Cindy located at?

(-3,0)

200

Sharon is standing in the middle of two statues. One is located at (11,13) and the other one is located at (-1, 3), where is Sharon standing at?

(5,8)

300

Henry just got out of school and he can either go to the library or to the mall. If the two places are equidistances from the school, the mall is at (9,2) and the library is at (3,4), where is the school located at?

(6,3)

400

Tommy is at Disneyland taking pictures with the characters. If SpongeBob is at (-8,3) and Mickey Mouse is at (2,-5), and Tommy is sitting between them, where is Tommy located at?

(-3,-1)

500

Lily is deciding between dessert or Teaway. Teaway is at (5,6) and the dessert house is at (9,-3). If Lily is standing in between them, where is she?

(7,1.5)