Unit 1 - Rigid Transformations Unit Study Guide

​Types of Rigid Transformations

Rigid transformation include:

​

Translations Reflections Rotations​

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Multiple Choice

Which statement describes the image most appropriately?

• This is an example of a rigid transformation because the sides and angles are equal

• This is not an example of a rigid transformation because the sides are equal but not the angles.

• This is not an example of a rigid transformation because the sides are not equal but the angles are equal.

• This is an example of a rigid transformation because both figures have four sides.

​Pre-Image

Pre-Image refers to an image or figure BEFORE a transformation has been applied. The vertices of a pre-image are labeled plain letters.

​

In the example above, the pre-image is the blue triangle, before it has been translated. ​

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​Image

Image refers to an image or figure AFTER a transformation has been applied. The vertices of an image are labeled using the prime ( ' ) symbol.

​

In the example above, the image is the red triangle, after it has been translated. ​

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Multiple Choice

Select all the triangles that are a TRANSLATION of triangle A

• E only

• B and D

• D and F

• All of them are translations

Multiple Choice

Identify the line of reflection

• X Axis

• Y Axis

• Can not be determined from the graph.

Multiple Choice

What type of transformation is this?

• Translation

• Reflection

• Rotation

Multiple Choice

What type of transformation does this show?

(Be careful! Use your tracing paper!)

• Translation

• Reflection

• Rotation

• None of these, this isn't an example of a rigid transformation

Multiple Choice

What type of transformation does this show?

(Be careful! Use your tracing paper!)

• Translation

• Reflection

• Rotation

• None of these, this isn't an example of a rigid transformation

Multiple Choice

What type of transformation does this show?

(Be careful! Use your tracing paper!)

• Translation

• Reflection

• Rotation

• None of these, this isn't an example of a rigid transformation

Multiple Choice

How many degrees did the figure rotate?

• 90 Clockwise

  or

  270 Counterclockwise

• 180

• 270 Clockwise

  or

  90 Counterclockwise

• Can't be determined

Multiple Choice

What type of transformation is shown?

• Translation

• Reflection

• Rotation

• Can not be determined

Multiple Choice

What information do you need to know to make a reflection

• Distance

• Line of reflection

• Degrees

• Center of rotation

Multiple Choice

If two figures have the same size and shape, they can be described as _________________

• Similar

• Congruent

• Squares

• Diamonds

​Vertical Angles

​Vertical Angles always equal each other

When a line is rotated and the image and pre-image intersect, four angles are created. The set of angls that are across from each other will always be equal because they are a result of a rigid transformation.

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Angles in a Triangle

​All 3 angles in a triangle add up to be 180 degrees

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