Plotting Points and Translations in the Coordinate Plane

Coordinate Plane Review

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Coordinate Plans

The Coordinate Plane is a two-dimension plane that is formed when the x-axis (running horizontally - left/right) intersects with the y-axis (running vertically - up/down).

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Origin

The x-axis and y-axis intersect at a point called the ORIGIN.

Each point on the coordinate plane can be represented by an ordered pair (x.y) which state the coordinate location of each point. The origin is located at (0,0).

Multiple Choice

How do you write an ordered pair?

• (X,X)
• (Y,X)
• (X,Y)
• (Y,Y)

Multiple Choice

The coordinate plane is divided by a horizontal number line called ______________

• x-axis

• y-axis

• origin

• quadrant

Multiple Choice

The coordinate plane is divided by a vertical number line called ______________

• x-axis

• y-axis

• origin

• quadrant

Multiple Choice

The coordinates for the origin in the coordinate plane are________

• (x,y)

• (0,0)

• (1,1)

• (2,8)

Quadrants

This intersection also creates four quadrants where points can be plotted. 

To name quadrants, begin at the top right where all the positive values of both x and y are located.

This is Quadrant I. To name the others, move in a counterclockwise rotation.

Multiple Choice

In which quadrant is point N?

• Quadrant 1

• Quadrant 2

• Quadrant 3

• Quadrant 4

Multiple Choice

In which quadrant is point P?

• Quadrant 1

• Quadrant 2

• Quadrant 3

• Quadrant 4

Plotting Points

Although there are two coordinates given for an ordered pair, it is a series of these two movements that result in one plotted point.

(x, y)

First follow the x to move left/right,

Then follow the y to move up/down.

Multiple Choice

What is the coordinate for point C?

• (2,4)

• (4,2)

• (2,5)

• (-2,4)

Multiple Choice

If my coordinates are (3, 4) what is my y?

• 3

• 4

• There is no y

Multiple Choice

If I want to plot point (4,9), I will go up 4 and over 9

• True

• False

Multiple Choice

What is the coordinate for point A?

• (2,2)

• (2,-2)

• (-2,2)

• (-2,-2)

Multiple Choice

What is the coordinate for point D?

• (2,2)

• (2,-2)

• (-2,2)

• (-2,-2)

Transformations of points

We can change the location of points (or shapes) on the coordinate plane by applying transformations!

Translations

One common type of transformation is called a translation!

Translations 'slide' points to a new location. Here point A was translated and became point A'

Multiple Choice

What is the new coordinate of point A (3,5) if we translate it 3 units right and 2 units down?

• (6,3)

• (3,6)

• (3,2)

• (0,0)

Multiple Choice

What is the new coordinate of point A (3,5) if we translate it 2 units left and 2 units up?

• (7,5)

• (5,7)

• (1,7)

• (0,0)

Multiple Choice

What is Coordinate N?

• (7,6)
• (5,5)
• (6,6)
• (7,7)

Multiple Choice

The four sections of the coordinate plane are called

• sections

• quadrants

• corners

• axes

Multiple Choice

What is an ordered pair?

• two random numbers

• two numbers that show the value for the X and Y

• one positive and one negative number

• two numbers that are ordered