Review: Coordinate Plane: Graphing, Reflecting, and Distance

Review: 4-Quadrant Coordinate Plane

By Janet McClellan

A two-dimension surface formed by two number lines. We can use the coordinate plane to graph points, lines, and more.​

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​1) The Coordinate Plane

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​2) X-Axis

​The horizontal line in a coordinate plane. The x-axis only moves left to right

​3) Y-Axis

The vertical line in a coordinate plane. The y-axis only moves Up and Down

Multiple Choice

The x-axis moves in what direction on the coordinate plane?

• Only Right

• Only Left

• Both Left and Right

• Both Up and Down

Multiple Choice

The y-axis moves in what direction on the coordinate plane?

• Only Up

• Only Down

• Both Left and Right

• Both Up and Down

​4) Origin

The two axes meet at a point called the origin. The ordered pair for the origin is (0,0).

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Always start at the origin and move left/right THEN up/down​

​(x,y)

Start at the origin first​

• x ALWAYS comes first and this tells me to move left or right

• y comes second and this tells me to move up or down next.​

• EX: (3,5)​

  This tells me to start at the origin and move 3 to the right and 5 up​

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​5) Ordered Pairs

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Multiple Choice

The ordered pair (2, 8) wants me to move how?

• 2 to the right and 8 up

• 2 to the right and 8 down

• 2 to the left and 8 up

• 2 to the left and 8 down

Multiple Choice

The order pair (-5, -8) means

• left 5, down 8

• left 5, up 8

• right 5, up 8

• right 5, down 8

The coordinate plane his broken into ​ 4 quadrants.

• QI is Quadrant one where all ordered pairs will be positive (+x, +y)

• Q2 is Quadrant two where the ordered pairs are (-x,+y)

• Q3 is Quadrant three where all of the ordered pair i​s negative (-x, -y)

• Q4 is Quadrant four where the ordered pairs are (+x, -y)

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​6) Quadrants on the Coordinate Plane

Multiple Choice

Where is point E located?

• ( 2, 0 )
• ( 2 , 2 )
• ( 0 , 2 )
• ( 0 , 0 )

Multiple Choice

Give the coordinates for POINT I.

• (-2, 5)
• (-2, -5)
• (2, 5)
• (2, -5)

Reflections

• Reflections flip a figure on the coordinate plane.

• Changes the orientation of a figure.

• Can be flipped across, the x-axis, y-axis, or both.

• Which axis is the triangle reflected across in the figure to the right?

Multiple Choice

What is the coordinates of point B reflected across the x- axis?

• (-4,-3)

• (4,-3)

• (4,3)

• (-4,3)

Multiple Choice

What is the coordinates of point C reflected over the y-axis?

• (-3,5)

• (3,-5)

• (-3,-5)

• (3,5)

Same Quadrant? Subtract!

• We can find the distance between points that lie in the same quadrant, like the Ferris Wheel and the Rollercoaster, using subtraction.

• The Rollercoaster is at (5, 2)

• The Ferris Wheel is at (5, 6)

• |6| - |2| = 6 - 2 = 4

• The Ferris Wheel and Rollercoaster are 4 spaces apart.

Find the distance between these two points using subtraction.

( 3 , 6 ) and ( 3 , 11 )

_{Make sure to subtract their ABSOLUTE VALUES.}

Multiple Choice

Find the distance between these two points using subtraction. ^{(Remember to use their ABSOLUTE values!)}

( -11 , -3 ) and ( -2 , -3 )

• 13

• 9

• -9

• -13

Different Quadrant? Add!

• We can find the distance between points that lie in the different quadrants, like the Restrooms and the Water Slide, using addition.

• The Restrooms are at ( 4 , -4 )

• The Water Slide is at ( -3 , -4 )

• |4| + |-3| = 4 + 3 = 7

• The restrooms and water slide are 7 spaces apart.

Find the distance between these two points using addition.

( 5 , -2 ) and ( -3 , -2)

_{Make sure to add their ABSOLUTE VALUES!}

Multiple Choice

Find the distance between these two points using addition.

( 10 , -2 ) and ( -3 , -2)

• 13

• -13

• 7

• -7

Multiple Choice

Find the distance between these two points using addition.

( 5 , -8 ) and ( 5 , 12 )

• -20

• 20

• 4

• -4

Multiple Choice

Determine if these points are in the same quadrant or different quadrants. Then find the distance using the right strategy.

_{Same = Subtract , Different = aDD}

( 2 , 10 ) and ( 5 , 10 )

• Same, 3

• Same, 7

• Different, 3

• Different, 7

Multiple Choice

Determine if these points are in the same quadrant or different quadrants. Then find the distance using the right strategy.

_{Same = Subtract , Different = aDD}

( -8 , -2 ) and ( 5 , -2 )

• Same, -13

• Same, 13

• Different, -13

• Different, 13

Multiple Choice

Determine if these points are in the same quadrant or different quadrants. Then find the distance using the right strategy.

_{Same = Subtract , Different = aDD}

( 1 , 15 ) and ( 1 , -21 )

• Same, -36

• Same, 36

• Different, -36

• Different, 36

Poll

How do you feel about tomorrow's test?

• I'm ready!

  Bring it On!!!

• So-so

  I need to study a little more.

• Not so great!

  I need to study a lot!