Rigid Transformations/Sequence of Transformations

Multiple Choice

A transformation that “turns” a figure about a fixed point at a given angle and a given direction.

• rotation
• translation
• reflection
• dilation

Multiple Choice

Which answer shows a reflection across the y-axis?

• a
• b
• c
• d

Multiple Choice

How many degrees was the figure rotated?

• 90 degrees counterclockwise 
• 180 degrees
• 270 counterclockwise 

Multiple Choice

What is this picture an example of?

• Reflection

• Translation

• Rotation

• Dilation

Multiple Choice

What direction is the x-axis?

• horizontal
• vertical
• diagonal
• straight

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

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

• y-axis
• x-axis

Multiple Choice

Describe the transformation in the image.

• Translation

• Reflection

• Rotation

Multiple Choice

Identify the correct picture which represents a 90^o clockwise rotation about the origin.

Multiple Choice

Identify the rigid transformation shown in the picture

• Translation

• Reflection

• Rotation

Multiple Choice

Describe the Transformation

• Translation
• Reflection
• Rotation

Multiple Choice

Which of the following is NOT a rigid transformation?

Match

Match the following

Slide

flip

Turn

• Slide

• flip

• Turn

Match

Match the following

Translation

Reflection

Rotation

• Translation

• Reflection

• Rotation

Multiple Choice

What symbol do we use for congruence?

• $$=$$  

• $$\approx$$  

• $$\cong$$  

• $$\sim$$  

Sequences...

Sequences of transformations are performed by doing each transformation in the order listed. Perform the first transformation on the pre-image and each transformation after that on the image created by the previous transformation.

Example

    

The blue trapezoid is translated 4 units right and then reflected over the x-axis to form the red trapezoid.

Multiple Choice

What sequence of transformations will map trapezoid A to its image A'?

• Reflection, then translation

• Rotation, then translation

• Reflection, then rotation

• Rotation, then dilation

Multiple Choice

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate 90 degrees clockwise around the origin

• Rotate 90 degrees clockwise around the origin and then translate down.

• Reflect across the x-axis and then reflect across the y-axis.

• Translate up and then rotate 90 degrees counterclockwise about the origin.

Multiple Choice

Describe a sequence of transformations that maps figure A onto figure B.

• A translation 4 units right followed by a reflection across the x-axis
• A reflection across the x-axis followed by a reflection across the y-axis
• A reflection across the y-axis followed by a translation 6 units down
• A 90° counter-clockwise rotation about the Origin followed by a reflection across the y-axis

Multiple Choice

What combination of transformations is shown?

• Reflection, then rotation

• Translation, then rotation

• Translation, then reflection

• Reflection, then translation

Multiple Choice

Does the transformation shown preserve congruence and/or orientation?

• Congruence yes, Orientation yes
• Congruence No, Orientation No
• Congruence No, Orientation yes
• Congruence Yes, Orientation No

Multiple Choice

Does the transformation shown preserve congruence and/or orientation?

• Congruence yes, Orientation yes
• Congruence No, Orientation No
• Congruence No, Orientation yes
• Congruence Yes, Orientation No

Multiple Choice

Which transformation(s) maintain congruency but not orientation?

• Translation
• Translation & Reflection
• Rotation
• Reflection & Rotation