Rigid Transformations/Sequence of Transformations

Presentation

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Mathematics

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9th - 12th Grade

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Practice Problem

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Medium

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CCSS

8.G.A.3, HSG.CO.A.2, 5.G.A.1

Standards-aligned

Nelly Garcia

Used 18+ times

FREE Resource

2 Slides • 22 Questions

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?

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

Match

Match the following

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

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

rotation

translation

reflection

dilation

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