Applications and Distance on the Coordinate Plane

​Polygons in the Coordinate Plane (Distance)

MGSE6.G.3 Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.

The earth is one large coordinate plane!! Distance on the coordinate plane is used for traffic egineering, satellite imagery, astronomy, weather forcasts, gps, etc.....

​Why Learn This?

• Plot a point

• Name a point.

• determine distance by counting

• determine distance by calculating

​Success Criteria

Learning Intention: We are learning how to use coordinates to find the distance between 2 points

Multiple Choice

How many quadrants are in a coordinate plane?

• 1

• 2

• 3

• 4

Multiple Choice

How do you write an ordered pair?

• (X,X)

• (Y,X)

• (X,Y)

• (Y,Y)

Multiple Choice

In an ordered pair, which number is first?

• The x-value

• The y-value

• It doesn't matter

Multiple Choice

What quadrant is (9,6)?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Multiple Choice

In which quadrant contains the following point?

(-3, 12)

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Multiple Choice

The point where the axes intersect is called the origin.

• True

• False

I Do

An athletic director is planning to refinish the floor
of a rectangular athletic court. Three corners of the
court have the coordinates (-4, 2), (-4, -3), and (8,
2). What is the perimeter of the court?

We Do

Three corners of a

rectangular city block are

located at (2, 2), (2, -4),

and (-5, -4) on a

coordinate plane. What

are the coordinates of the

fourth corner?

You Do

An athletic director is planning to refinish the floor of
a rectangular athletic court. Three corners of the
court have the coordinates (-4, 2), (-4, -3), and (8, 2).
Find the coordinates of the fourth corner of the court.

Multiple Choice

The drawing shows points  ^A,B, and ^C. At what location would you add point ^{D to create a square ?}

• ( 2,1 )

• (4,5)

• ( 5, 4 )

• ( 5, 10 )

I Do

How far is John’s
house from the
sports complex?

You do

John goes to

swimming practice,
then to the market.

How far does he

travel?

I do

Robby’s house is located at (8, 0) on the

coordinate plane. Game Stop is located at (15,

0) on the coordinate plane. How far does

Robby walk to Game Stop.

You Do

On a map of a county park, the park entrance

is located at (0, 0) and the picnic tables are
located at (0, -10). What is the distance from

the park entrance to the picnic tables?

Multiple Choice

Distance between (5, 40) and (5, 20)

• 20 units

• 60 units

• 10 units

Multiple Choice

Distance between (-10, 8) and (20, 8)

• 16 units

• 10 units

• 30 units

Multiple Choice

Distance between (25, 10) and ( 25, -8)

• 50 units

• 18 units

• 2 units

You Do: I Watch

Mrs. Smith decides to put in a
pool for her grandchildren. The
four corners are located at (5, 2)
(-5, 2) (5, -2) and (-5, -2). What is
the distance around the pool?