Rigid Transformations Review

Last updated over 3 years ago

16 questions

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Select ALL rules that describe rotations.

(x,y) --> ______

Select ALL rules that describe reflections.

(x,y) --> ______

If the following triangle is rotated 180 degrees counterclockwise, what will be the location of C'?

(-7, -1)

(-2, -1)

(-7, -4)

(-2, -7)

What is the image of (-2,4) when rotated 270 degrees counterclockwise? Answer as an ordered pair.

Determine the transformation based on the preimage and image.
A (3, 4) --> A' (-4, 3)
B (0, 2) --> B' (-2, 0)
C (4, 1) --> C' (-1, 4)

Reflection across the y-axis

Rotation 90 degrees counterclockwise

Reflection across the line y=x

Rotation 270 degrees counterclockwise

Point P (-3, 4) is REFLECTED across the x-axis then ROTATED 180 degrees counterclockwise. Where is P''? Answer as an ordered pair.

Which of the following describes the rule (x,y) --> (x-2, y+4)?

move each point 2 units down and 4 units right

move each point 2 units right and 4 units up

move each point 2 units left and 4 units right

move each point 2 units left and 4 units up

Point D (3, 3) is reflected across the line y=x. Which of the following is the location of D'?

(3, 3)

(-3, 3)

(3, -3)

(-3, -3)

If triangle XYZ is reflected about the vertical line x=3, what are the new coordinates for Z'?

(2,-2)

(2, 2)

(8,-2)

(8, 2)

A translation moves A (-3, 2) to A' (0,0). If B is located at (5, 4), where is B'?

(8, 2)

(2, 6)

(-2, -1)

(-8, -2)

Identify the transformation. (HINT: find the coordinates of the preimage and the image, then use the rules to determine the transformation)

What is meant by the phrase "rigid transformation"?

The polygon stays in one place and will not move no matter what

the location and/or orientation changes, but the size and shape of the polygon remains the same

the polygon can be 3-D printed

The polygon expands at a constant rate of change

Which of the following are rigid transformations? Select all that apply.

A graphic artist designing a company's logo wants to reflect triangle LMN across the dotted line to form triangle L'M'N'. What will be the coordinates of L'?

(-20, 6)

(40, 12)

(45, 6)

(70, 6)

READ CAREFULLY:
If the IMAGE of a point AFTER it has been rotated 90 degrees counterclockwise is (-3, 2), what were the PREIMAGE (original) coordinates? Answer as an ordered pair. (HINT: Use your rules to determine how the image is created, then work backwards)

What is the image of the origin after it has been rotated 270 degrees counterclockwise and reflected across the x-axis? Answer as an ordered pair.

Select ALL rules that describe rotations.

(x,y) --> ______

(x+h, y+k)

(-x, -y)

(-x, y)

(x, -y)

(y, x)

(-y, x)

(y, -x)

Select ALL rules that describe reflections.

(x,y) --> ______

(x+h, y+k)

(-x, -y)

(-x, y)

(x, -y)

(y, x)

(-y, x)

(y, -x)

If the following triangle is rotated 180 degrees counterclockwise, what will be the location of C'?

(-7, -1)

(-2, -1)

(-7, -4)

(-2, -7)

Determine the transformation based on the preimage and image.
A (3, 4)  --> A' (-4, 3)
B (0, 2)  --> B' (-2, 0)
C (4, 1)  --> C' (-1, 4)

Reflection across the y-axis

Rotation 90 degrees counterclockwise

Reflection across the line y=x

Rotation 270 degrees counterclockwise

Which of the following describes the rule (x,y) --> (x-2, y+4)?

move each point 2 units down and 4 units right

move each point 2 units right and 4 units up

move each point 2 units left and 4 units right

move each point 2 units left and 4 units up

Point D (3, 3) is reflected across the line y=x. Which of the following is the location of D'?

(3, 3)

(-3, 3)

(3, -3)

(-3, -3)

If triangle XYZ is reflected about the vertical line x=3, what are the new coordinates for Z'?

(2,-2)

(2, 2)

(8,-2)

(8, 2)

A translation moves A (-3, 2) to A' (0,0). If B is located at (5, 4), where is B'?

(8, 2)

(2, 6)

(-2, -1)

(-8, -2)

Identify the transformation. (HINT: find the coordinates of the preimage and the image, then use the rules to determine the transformation)

90 degree counterclockwise rotation

y-axis reflection

180 degree counterclockwise rotation

x-axis reflection

270 degree counterclockwise rotation

y=x reflection

What is meant by the phrase "rigid transformation"?

The polygon stays in one place and will not move no matter what

the location and/or orientation changes, but the size and shape of the polygon remains the same

the polygon can be 3-D printed

The polygon expands at a constant rate of change

Which of the following are rigid transformations? Select all that apply.

Dilation

Converse

Alternate Interior Angles

Reflection

Depression

Preimage

Rotation

Translation

Quadrilateral

A graphic artist designing a company's logo wants to reflect triangle LMN across the dotted line to form triangle L'M'N'. What will be the coordinates of L'?

(-20, 6)

(40, 12)

(45, 6)

(70, 6)

Rigid Transformations Review

Rigid Transformations Review

What is the image of (-2,4) when rotated 270 degrees counterclockwise? Answer as an ordered pair.

Point P (-3, 4) is REFLECTED across the x-axis then ROTATED 180 degrees counterclockwise. Where is P''? Answer as an ordered pair.

READ CAREFULLY:If the IMAGE of a point AFTER it has been rotated 90 degrees counterclockwise is (-3, 2), what were the PREIMAGE (original) coordinates? Answer as an ordered pair. (HINT: Use your rules to determine how the image is created, then work backwards)

What is the image of the origin after it has been rotated 270 degrees counterclockwise and reflected across the x-axis? Answer as an ordered pair.

Select ALL rules that describe rotations.(x,y) --> ______

Select ALL rules that describe reflections.(x,y) --> ______

If the following triangle is rotated 180 degrees counterclockwise, what will be the location of C'?

What is the image of (-2,4) when rotated 270 degrees counterclockwise? Answer as an ordered pair.

Determine the transformation based on the preimage and image.A (3, 4) --> A' (-4, 3)B (0, 2) --> B' (-2, 0)C (4, 1) --> C' (-1, 4)

Point P (-3, 4) is REFLECTED across the x-axis then ROTATED 180 degrees counterclockwise. Where is P''? Answer as an ordered pair.

Which of the following describes the rule (x,y) --> (x-2, y+4)?

Point D (3, 3) is reflected across the line y=x. Which of the following is the location of D'?

If triangle XYZ is reflected about the vertical line x=3, what are the new coordinates for Z'?

A translation moves A (-3, 2) to A' (0,0). If B is located at (5, 4), where is B'?

Identify the transformation. (HINT: find the coordinates of the preimage and the image, then use the rules to determine the transformation)

What is meant by the phrase "rigid transformation"?

Which of the following are rigid transformations? Select all that apply.

A graphic artist designing a company's logo wants to reflect triangle LMN across the dotted line to form triangle L'M'N'. What will be the coordinates of L'?

READ CAREFULLY:If the IMAGE of a point AFTER it has been rotated 90 degrees counterclockwise is (-3, 2), what were the PREIMAGE (original) coordinates? Answer as an ordered pair. (HINT: Use your rules to determine how the image is created, then work backwards)

What is the image of the origin after it has been rotated 270 degrees counterclockwise and reflected across the x-axis? Answer as an ordered pair.

READ CAREFULLY:
If the IMAGE of a point AFTER it has been rotated 90 degrees counterclockwise is (-3, 2), what were the PREIMAGE (original) coordinates? Answer as an ordered pair. (HINT: Use your rules to determine how the image is created, then work backwards)

Select ALL rules that describe rotations.

(x,y) --> ______

Select ALL rules that describe reflections.

(x,y) --> ______

Determine the transformation based on the preimage and image.
A (3, 4) --> A' (-4, 3)
B (0, 2) --> B' (-2, 0)
C (4, 1) --> C' (-1, 4)

READ CAREFULLY:
If the IMAGE of a point AFTER it has been rotated 90 degrees counterclockwise is (-3, 2), what were the PREIMAGE (original) coordinates? Answer as an ordered pair. (HINT: Use your rules to determine how the image is created, then work backwards)