3rd Nine Weeks Review (Transformations)

3rd Nine Weeks Review

8th Mathematics

Transformations

• Reflection (flip)

• Rotation (turn)

• Translation (slide)

• Dilation (enlarge/reduce)

Multiple Choice

Which transformation results in the size of a figure changing?

• Reflection

• Rotation

• Translation

• Dilation

Reflect over the x-axis

Change the y-value (x, y)

Reflect over the y-axis

Change the x-value (x, y)

Multiple Choice

Triangle ABC is reflected over the x-axis. If point A is located at (-5,7), point B is located at (-4, -7), and point C is located at (9,0). What is new location of point B after the reflection?

• (-5,-7)

• (-4,7)

• (-9,0)

• (4,-7)

Rotating 180^º -clockwise & counterclockwise have the same rule

Change the signs of both x and y

Rotating 90º clockwise (270º counterclockwise)

Switch the ordered pair and change the new y-value

Rotating 90º degrees counterclockwise (270º clockwise)

Switch the ordered pair and change the new x-value

Multiple Choice

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

• (-5, 5)

• (-3, 5)

• (-5, 3)

• (-3, 3)

Multiple Choice

The point Z(4, -2) is rotated 180 degrees about the origin. What is the image of Z?

• Z'(2, 4)

• Z'(-4, 2)

• Z'(-2, -4)

• Z'(-4, -2)

Translating

Add-right (x-axis) or up (y-axis)

Subtract-left (x-axis) or down (y-axis)

Multiple Choice

How is triangle ABC being translated to triangle A'B'C'?

• up 3, left 8

• up 9, left 4

• down 3, right 8

• down 9, right 4

Dilating

Multiply the x-value and y-value by the scale factor

Multiple Choice

A triangle has vertices A(0,0), B(8,0), C(3,-2). Find the coordinates of the triangle after a dilation with a scale factor of 4. The dilation is (X,Y) --- (4x,4y)

• A(3,3), B(4,4), C(-3,-4)

• A(-4,8), B(6.5,8), C(7,7)

• A(0,0), B(32,0), C(12,-8)

Poll

On a scale of 1-4, how confident do you feel about transformations?

• 1-I'm not feeling confident at all

• 2-I feel better now than a few weeks ago

• 3-I can answer most questions with little or no help

• 4-I've got this!

Directions: Go to Canvas and click the link for the independent practice (Monday: Transformation Review (submit))

The rules are posted on Canvas, if needed