Show:
Distance
Midpoint
Distance Word Problems
Midpoint Word Problems
Horizontal - Vertical
100
What is the distance formula?
d=√(x₂-x₁)²+(y₂-y₁)²
100
What is the midpoint formula?
M(((x₁+x₂)/2),((y₁+y₂)/2)))
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
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)
100

Is the line segment represented by these two points vertical or horizontal?   (9, 5)  (9, -8)

Vertical

200
What is the distance between (8,11) and (8,4)?
7
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)
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
200
Sharon is standing at (5,8) when two cars from the same distance is driving towards her. One of the car is located at (-1, 3), where is the other car located at?
(11,13)
200

Create a set of points that will show a vertical line segment. (Be sure to use coordinate pair notation!)

see student work

Points must show change in the y coordinates only!

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
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)
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
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 school is at (3,4), where is the library located at?
(-3,6)
300

Which coordinates would you look at to determine a horizontal change?

The first number in each coordinate pair

For example:   (9, 5) (4, 5)... the 9 and 5 changed by 4 units but the 5 did not so this is a horizontal line segment 4 units long

400

Which famous Mathematician is credited with creating the Distance Formula?

Who is Pythagoras?

400
Find the midpoint of the line segment joining the points ( 1, - 4 ) and ( - 4, 2 )
(-1.5,-1)
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
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)
400

FREE SPACE


Automatic 400 points!

500

There exists a triangle with vertices A(-4,3), B(4,3), C(0,5). What is the length of AC?

4.47 units

500

Write out the midpoint formula for diagonal line segments 

see student work


should be in coordinate pair notation 

500
A skydiver lands 150 yards west and 30 yards north of a target. A second skydiver lands 45 yards east and 150 yards south of the same target. How far from each other did the two skydivers land?
√70425 or 265.38
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)
500

What is the vertical change for this diagonal line segment? (8, 4) (3, -9)

What is 13 units?