Cartesian Coordinate System, Distance and 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

Find the distance from the points A(6, - 3) and B(10, 5)

8.94

Midpoint

100

What is the midpoint formula when we are using two points on a coordinate plane?

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.

(-0.5,-6)

300

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

(-0.5,-1)

400

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

(-1.5,-1)

Cartesian 1

100

What quadrant is point E (-2,-3) located at?

Quadrant III

200

Plot R(1,5) and S(1,-4). What axis do these points align parallel to?

y-axis

300

Find the vertical distance between points P(-4,-2) and Q(3,-2). 

0

400

Plot A(-3,4), B(3,4), C(3,-4), D(-3,-4). What figure is formed when connected?

Square

Cartesian 2

100

The Cartesian plane is developed by this 17th century mathematician.

Rene' Descartes

200

What is the coordinate of the origin?

(0,0)

300

What do you call the x-coordinate of a point in a cartesian coordinate system?

Abscissa

400

A point lies on the origin. What are its x and y coordinates?

x=0

y=0