Transformations Series Lesson

Transformations

Mathematical Animation

Multiple Choice

A slide is also called a _________.

• Translation

• Reflection

• Rotation

• Transformation

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

• Reflection across the y-axis with a translation 3 units right, and 1 unit down.

Multiple Choice

When you translate, (x+4,y) will move _____.

• 4 units right

• 4 units left

• 4 units up

• 4 units down

• the figures x values are 4x larger

Multiple Choice

Which rule would result in a translation of 2 units left and 3 units up?

• (x, y) → (2x, 3y)

• (x, y) → (x - 2, y + 3)

• (x, y) → (3x, 2y)

• (x, y) → (x + 2, y - 3)

• (x, y) → (-2x, -3y)

Multiple Choice

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

• Translation (x-7,y)

• Reflection across the y-axis

• Reflection across the x-axis

• 90^o counter clockwise Rotation

• Translation (x+7,y)

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)

• None of the above

Multiple Choice

 Describe the Transformation

• Translation
• Rotation
• Reflection

Multiple Select

Identify the transformation from C to D. Check ALL that apply

• 90^o Clockwise Rotation

• 180^o Rotation

• 270^o Clockwise Rotation

• 270^o Counter-Clockwise Rotation

• 90^o Counter-Clockwise Rotation

Multiple Choice

Describe the transformation from C to H.

• translation <2, -10>

• rotation 90° CW

• rotation 180°

• reflection across x-axis

• translation <1, -7>

Multiple Choice

Describe the transformation from H to C.

• translation <2, -10>

• rotation 90° CW

• rotation 180°

• rotation 90° CCW

• translation <1, -7>

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 counter-clockwise about the origin.

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

Multiple Choice

Identify the smallest angle of rotation that maps the image to itself.

• 90°

• 180°

• 45°

• 60°

• 30°

Multiple Choice

Which of the following transformation will map the regular pentagon onto itself?

• reflection across blue line

• reflection across green line

• 108 degree rotation about the origin

• 216 degree rotation about the origin

• None of the transformation map onto the original penatgon

Multiple Choice

The rule for rotation of 180 degrees is

(x, y) --> _

• (-y, x)

• (-x, -y)

• (y, -x)

• (-y, -x)

• (-x, y)

Multiple Choice

The rule for rotation of 90 degrees counterclockwise is

(x, y) --> _

• (y, -x)

• (-y, x)

• (x, -y)

• (-x, y)

• (-x,-y)

Multiple Choice

Which rule would result in a clockwise rotation of 90° about the origin?

• (x, y) → (y, -x)

• (x, y) → (y,x)

• (x, y) → (x, -y)

• (x, y) → (-x,-y)

• (x, y) → (-y,-x)

Multiple Choice

Name the transformation.

• Translation

• Reflection

• Rotation

• Dilation

Multiple Choice

Which of the following is NOT a reflection?

• A & B

• B & C

• G & H

• E & F

• A & E

Multiple Choice

What Transformation is visible?

• Reflection

• Rotation

• Dilation

• Translation

• Not enough information

Multiple Choice

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

• Translation (x-7,y)

• Reflection across the y-axis

• Reflection across the x-axis

• 90^o counter clockwise Rotation

• Translation (x+7,y)

Multiple Choice

Which pair have a line of reflection of x = -2?

• A & B

• B & C

• G & H

• E & F

• F & D

Multiple Choice

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

• Translation <2,0>

• Reflection across the x-axis

• Reflection across the y-axis

• 90^o counter clockwise rotation

• Translation <-2,0>

Multiple Choice

Given C(2, 9), under which reflection is C'(-2, 9)?

• reflected in the x-axis

• reflected in the y-axis

• reflected in the line x = 2

• reflected in the line y = x

• reflected in the line y = -x

Multiple Choice

What is the sequence of transformations?

• Reflect over the y then reflect over the x

• Reflect over the x then reflect over the y

• Translate 4 units then rotate 90˚

• Rotate 90˚ then reflect over the x

• Rotation of 180 degrees

Multiple Choice

Name the series of transformations that maps ABC onto DEF

• reflect over x then translate left 6 up 1

• reflect over y then translate down 6 left 1

• translate right 6 down 1, then reflect over x

• rotate 90 clockwise then reflect over y

• rotate 180 degrees, then left 2 and down 1

Multiple Choice

Choose the correct transformations

• rotate 90 degrees counter-clockwise around the origin, and then reflect over the x-axis

• right 1, down 4, and then reflection over the y-axis

• right 6, and then reflection over the x-axis

• reflection over the line y=x, and then translate up 4, right 2

• reflect over the y axis, and then left 1 and up 4

Multiple Choice

Choose the correct transformations

• rotate 90 degrees counter-clockwise around the origin, and then reflect over the x-axis

• right 1, down 4, and then reflection over the y-axis

• right 6, and then reflection over the x-axis

• reflection over the line y=x, and then translate up 4, right 2

• reflect over the y axis, and then left 1 and up 4

Multiple Choice

What Transformation is visible?

• Reflection

• Translation

• Dilation

• Rotation

• Expansion

Multiple Choice

What is an isometry (Ridgid Motion)?

• A transformation that changes the preimage size.

• A transformation that translates the image.

• A transformation that preserves the preimage shape and size, such as, a reflection, translation, and rotation.

• A transformation that morphs the preimage to a new shape.

Multiple Choice

Which is NOT an Isometry (Ridgid Motion)?

• Relection

• Dilation

• Rotation

• Translation

• Not Enough Information

Multiple Choice

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

• Not enough Information

Multiple Choice

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

• ½

• ¼

• 4

• 2

• 1/6

Multiple Choice

(6, -4) -- Dilate by 1/2 and reflect across the origin.

• (-3, 2)

• (-3, -2)

• (12, -8)

• (-12, 8)

• (2, -3)

Multiple Choice

Dilate Point B by a scale factor of 1/2

• (1.5,-4)

• (-1.5,1)

• (-1,-1.5)

• (-2,-2)

• (-6,4)

Multiple Choice

What is the rule for the dilation pictured below?

• (x, y) → (½x, ½y)

• (x, y) → (x + 2, y + 2)

• (x, y) → (x + ½, y + ½)

• (x, y) → (2x, 3y)

• (x, y) → (2x, 2y)

Multiple Choice

A transformation that does not change the size or shape of a pre-image (pre-image and image are congruent) is called

• Rigid Motion Transformation

• Dilation

• Non-Isometric

• Non- Rigid Motion Transformation

• Similar Figure Transformation

Multiple Choice

What is the rule for the dilation pictured below?

• (x, y) → (½x, ½y)

• (x, y) → (x + 2, y + 2)

• (x, y) → (x + ½, y + ½)

• (x, y) → (2x, 3y)

• (x, y) → (2x, 2y)

Multiple Choice

The rule for dilation is

(x, y) --> _

• (kx, ky)

• (x, -y)

• (-x, y)

• (x+a, y+b)

• (-x,-y)

Multiple Choice

Which transformation or set of transformations will map a point (x,y) onto the point (2x+1, 2y)

• a dilation with a scale factor of 2 through the origin followed by a translation of right 1 unit

• a dilation with a scale factor of 2 through the origin followed by a translation of up 1 unit

• a dilation of scale factor 2 through the point (1,0)

• a dilation of scale factor 2 through the point (0,1)

• a dilation of scale factor 1 through the point (2,2)

Multiple Select

What types of transformations happened to get from shape 1 to shape 3, choose ALL that apply.

• Rotation

• Translation

• Reflection

• Dilation

• Non-Rigid Transformation

Multiple Choice

The rule for dilation is

(x, y) --> _

• (kx, ky)

• (x, -y)

• (-x, y)

• (x+a, y+b)

• (-x,-y)

Multiple Select

Check all the transformations that are an example of rigid motion

• Translations

• Rotations

• Reflections

• Dilations