Review on Transformations in a Coordinate Plane

Which representation of a transformation on a coordinate grid does NOT preserve congruence?

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When translating a figure horizontally on a coordinate plane, you change the ​ (a)   coordinate by ​ (b)   it.

• x

• adding to or subtracting from

• y

• multiplying or dividing

Match the following transformations with their rule.

• ( x - 2 , y )

• Translated

  2 units DOWN

• ( x + 2 , y )

• Translated

  2 units UP

• ( x , y - 2 )

• Translated

  2 units Left

• ( x , y + 2)

• Translated

  2 units Right

A reflection ​ (a)   a figure over a line of reflection in order to create a mirror image.

• flips

• moves

• spins

• rotates

• dilates

​ (a)   are the only transformation where the x and y coordinates switch places.

• Rotations

• Reflections

• Translations

• Dilations

A ___________ is a change in size, position, or location of a figure on the coordinate plane. 

Describe the translation from the red figure to the blue figure.

The red figure is translated 5 units ​ (a)   then 2 units ​ (b)   .

• left

• right

• down

• up

Starting at the original point (−2,15), choose the correct coordinates after each transformation has been applied.

• (3, 8)

• Rotate 180 degrees around the origin

• (-2, -15)

• Reflect over x-axis

• (2, 15)

• Translate 5 right and 7 down

• (2, -15)

• Reflect over y-axis

The triangle will be translated so that the coordinates of X′ are (5,11).​

​ What will be the coordinates of Z′ ? 

• (5, 8)

• (6, 7)

• (7, 6)

• (8, 5)

Complete the rule for each transformation. TYPE YOUR ANSWER WITH ( ) AND NO SPACES!!!!

Translation 3 units right and 2 units down. (x, y) →