Inclusion Geometry 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

What is the formula used to find the Distance on a number line.  

/x_2-x_{1/ or} /x₁-x₂/

500

The coordinates of F and C are 5 and 3.

What is the distance of these coordinates from a number line?

isosceles

Midpoint

100

What is the midpoint formula used for a coordinate plane?

(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

What is 

(x₁+x₂)/2

What formula do I use to find the midpoint of a Number line?

400

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

(-.5,-1)

500

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

(-1.5,-1)

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

d+2+4d=-3

-1

500

Jacinta hangs a picture 15 inches from the left side of a wall.  How far from the edge of the wall should she mark the location for the nail.  the picture will hang on if the right edge is 37.5 inches from the walls's left side?  Hint: use the midpoint formula of the a number line. 

52.5/2 or 26.25

Equations

100

x+20=45

25

200

c+2+4=4

-2

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)

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

5(1+7k)-6k+34

1