Unit 1: Geometric Transformations Test Review

Unit 1: Geometric Transformations Test Review

A type of transformation that keeps the congruence.
Rotations, Reflections and Translations

Rigid Transformation

An operation that maps an original figure (pre-image) onto a new figure (image).

Transformation

Key Vocabulary

Polygons with the same shape but different size.

Similar Figures

Polygons that have the same size and the same shape.

Congruent Figures

Key Vocabulary

A vertical or horizontal slide.

​​Translations

A flip over a line called the line of reflection.

​​Reflection

A turn around a fixed point called the center of rotation.

​​Rotation

​Rigid Transformations

Dilation: An enlargement or reduction of a figure. 

Scale Factor: Indicates how much the figure will enlarge/ reduce

Dilations

Multiple Choice

What is the rules for a 90 degree clockwise rotation. 

• (x, y)(-y, –x)

• (x, y)(y, –x)

• (x, y)(-y, x)

• (x, y)(y, x)

Multiple Choice

What is the rules for a 270 degree clockwise rotation. 

• (x, y)(-y, –x)

• (x, y)(-y, x)

• (x, y)(y, –x)

• (x, y)(y, x)

Multiple Choice

What is the rule for a translation 2 units left and 4 units up? 

• ( x , y ) --> ( x - 2 , y + 4 )

• ( x , y ) --> ( x - 2 , y - 4 )

• ( x , y ) --> ( x + 2 , y + 4 )

• ( x , y ) --> ( x + 2 , y - 4 )

Multiple Choice

Describe the transformation taking place.

• Reflection across the x-axis.

• Reflection across the y-axis.

• Rotation 180 degrees.

• Rotation 270 degrees counterclockwise

Multiple Choice

What is the coordinate of point E after a rotation 180 degrees? 

• (2 , 6 )

• ( -2 , 6)

• ( 2 , - 6 )

• ( -2 , -6 )

Multiple Choice

What is the coordinate of point E after a reflection across the y-axis?

• (2 , 6 )

• ( -2 , 6)

• ( 2 , - 6 )

• ( -2 , -6 )

Multiple Choice

What is the coordinate of point E after a translation ( x , y ) --> ( x -3 , y + 2 ) ? 

• (1 , 8 )

• ( -1 , 8)

• ( -1 , - 8 )

• ( 1 , -8 )

Multiple Choice

What is the coordinate of point E after a rotation 90 degrees clockwise. 

• (6 , 2 )

• ( -6 , 2)

• ( 6 , -2 )

• ( -6 . -2 )

Multiple Choice

What is the coordinate of point E after a dilation of a scale factor of 1/2? 

• (4 , 12 )

• ( 1 , 3)

• ( 6 , -2 )

• ( -6 . -2 )

Multiple Choice

What is the coordinate of point E after a dilation of a scale factor of 2? 

• (4 , 12 )

• ( 1 , 3)

• ( 6 , -2 )

• ( -6 . -2 )

Multiple Choice

What is the new coordinate of R' after a rotation 180 degrees and a translations 2 units right and three units down. 

• (7 , 1 )

• ( 3 , 7 )

• ( 6 , -2 )

• ( -6 . -2 )

Multiple Choice

What is the new coordinate of R' after a reflection across the y - axis and a dilation of a scale factor of 3. 

• (15 , 212 )

• ( 15 , -12)

• ( -15, 12 )

• ( -5 , 4 )

Multiple Choice

What is the new coordinate of R' after a rotation 90° counterclockwise around the origin and a translation 5 units down. 

• ( 4 , -5 )

• ( -4 , 5 )

• ( 4 , -10 )

• ( -1 , 5 )