Transformation Summary & Practice

Multiple Choice

Are the two angles below congruent?

• yes

• no

Multiple Choice

Are these triangles similar?

• Yes

• No

​Vocabulary

• Transformation - an operation that maps an original figure onto a new figure ​

• Original Figure - is called the PRE-IMAGE

• New Figure - is called the IMAGE​

• Rigid Transformation - a transformation that creates an image that is congruent to the pre-image. (translation, reflection, and rotation ONLY)​

THESE ARE THE ONLY 3 TRANSFORMATIONS THAT CREATE CONGRUENT IMAGES! RIGID TRANSFORMATIONS

​Types of Transformations

​Translation - a slide that moves all points in the same direction and same distance

​Reflection - a FLIP over a certain line, all points from the pre-image to image are the same distance apart.

​Rotation - a TURN around a fixed point, all points from the pre-image to image are the same distance apart.

Multiple Choice

Fill in the blank: Translations create __________ figures.

• Similar
• Congruent

Multiple Choice

Fill in the blank: Rotations create __________ figures.

• Similar
• Congruent

Multiple Choice

Fill in the blank: Reflections create __________ figures.

• Similar
• Congruent

Multiple Choice

Name the transformation.

• Translation
• Reflection
• Rotation

Multiple Choice

What is this picture an example of? 

• An angle
• A cat vertex 
• Rotation 

Multiple Choice

What transformation is happening to the red triangle to get to the blue triangle?

• Translation
• Rotation
• Reflection

Multiple Choice

Name the transformation.

• Translation
• Reflection
• Rotation

Multiple Choice

Identify the transformation from ABC to A'B'C'.

• 90^o clockwise rotation
• 90^o counter clockwise rotation
• Reflection across the y-axis
• Reflection across the x-axis

Multiple Choice

Identify the transformation.

• Reflection across y-axis
• 90 Rotation counter clockwise
• Translation 5 units left, 1 unit up.
• Translation 5 units right, 1 unit down

Multiple Choice

Identify the transformation from ABCD to A'B'C'D'.

• Translation
• Reflection across the y-axis
• Reflection across the x-axis
• 90^o counter clockwise Rotation

Multiple Choice

Write a rule for the translation.

•  (x -1, y  + 2)
•  (x -2, y  + 1)
•  (x +2, y  - 1)
• (x +1, y  -  2)

Multiple Choice

Identify the transformation.

• Reflection across y-axis
• 90 Rotation counter clockwise
• Translation 5 units left, 1 unit up.
• Translation 5 units right, 1 unit down

Multiple Choice

The image shows what type of transformation

• Rotation
• Translation
• Reflection

Multiple Choice

Identify the transformation from ABC to A'B'C'.

• (x+8, y+4)
• (x-8, y-4)
• (x+4, y+8)
• (x-4, y-8)

Multiple Choice

Is the picture being reflected in the y-axis or x-axis?

• y-axis
• x-axis

Multiple Choice

What is this picture an example of? 

• An angle
• A cat vertex 
• Rotation 
• Dilation

Multiple Choice

Reflect Point C over the y-axis:

• (-3, 2)
• (3,2)
• (-2,3)
• (3,0)

Multiple Choice

Reflections over the x-axis change the ____-__________. 

• y-coordinate
• x-coordinate

Multiple Choice

Which letter does not have symmetry?
G H O E

• G
• H
• O
• E

Multiple Choice

Does the image show a Dilation?

• Yes
• No

Multiple Choice

How many lines of symmetry does this shape have?

• 0
• 1
• 2
• 4

Multiple Choice

If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?

• (-5, 5)
• (-3, -5)
• (-5, 3)
• (-3, 3)

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

How many degrees was the figure rotated?

• 90 degrees counterclockwise 
• 180 degrees
• 90 degrees clockwise