Geometric Transformations

Multiple Choice

Translations, reflections, rotations are all known as ________________________.

• shape shifts

• rigid transformations

• changes

• morphing

Multiple Choice

Another name for translation is a

• slide

• enlargement /reduction

• mirror

• turn

Multiple Choice

Another name for a rotation is

• slide

• enlargement /reduction

• mirror

• turn

Multiple Choice

Another name for a reflection is

• slide

• turn

• mirror

• enlargement /reduction

Multiple Choice

A dilation is a non-rigid transformation because

• it changes size

• it changes shape

• it changes shape

  and it changes size

Multiple Choice

Another name for a dilation can be

• slide

• turn

• enlargement /reduction

• mirror

Multiple Choice

The picture BEFORE it's transformed is called the:

• Pre-Image

• Image

• Post-Image

• Transformation

Multiple Choice

The picture AFTER it's transformed is called the:

• Pre-Image

• Post Image

• Transformed

• Image

Multiple Choice

What is the geometric transformation?

• Translation

• Rotation

• Reflection

• Dilation

Multiple Choice

What is the geometric transformation?

• Translation

• Rotation

• Reflection

• Dilation

Multiple Choice

What is the geometric transformation?

• Translation

• Rotation

• Reflection

• Dilation

Multiple Choice

What is the geometric transformation?

• Translation

• Rotation

• Reflection

• Dilation

​IJK is mapped to I'J'K'

Multiple Choice

Describe the translation

from ABC to A'B'C. 

• Left 3, Up 2

• Left 3, Up 2

• Right 3, Down 2

• Right 2, Down 3

Multiple Choice

Describe the translation algebraically

[right 3, down 2]

• (x+3, y-2)

• (x-3, y+2)

• (x+2, y-3)

• (x-2, y+3)

Multiple Choice

If R(7,3) is translated right 1, up 6, what would the coordinates of R' be?

• R'(6,9)

• R'(6,4)

• R'(1,4)

• R'(8,9)

​ABCD is mapped to A'B'C'D'

Multiple Choice

Describe the reflection

from ABCD to A'B'C'D

• Reflection over X-AXIS

• Reflection over Y-AXIS

Multiple Choice

Describe the reflection 

from ABC to A'B'C'

• Reflection over X-AXIS

• Reflection over Y-AXIS

Multiple Choice

Describe the reflection

from ABC to A'B'C'

• Reflection over X-AXIS

• Reflection over Y-AXIS

Multiple Choice

Describe the reflection algebraically. 

Hint: Look at the coordinates from ABC to A'B'C'

• (-x,y) 

• (x,-y) 

Multiple Choice

If A(2,5) was reflected over the Y-AXIS,

what would the coordinated of A' be?

• A'(2,-5)

• A'(-2,5)

• A'(5,2)

• A'(5,-2)

Multiple Choice

This figure is rotating...

• 90^o clockwise

• 90^o counterclockwise

Multiple Choice

This figure is rotating...

• 270^o clockwise

• 270^o counterclockwise

Multiple Choice

SQR rotated ______________ to get S'Q'R'

• 90^o clockwise

• 180^o clockwise

• 270^o clockwise

Multiple Choice

SRQ rotated ______________ to get S'R'Q'

• 90^o counterclockwise

• 180^o counterclockwise

• 270^o counterclockwise

Multiple Choice

ABC rotated ______________ to get A'B'C'

• 90^o clockwise

• 180^o clockwise

• 270^o clockwise

​Types of Dilations:

​Enlargement (shape gets larger) Reduction (shape gets smaller)

Multiple Choice

ABC is mapped to A'B'C'

What type of dilation?

• enlargement

• reduction

Multiple Choice

ABCD is mapped to A'B'C'D

What type of dilation?

• enlargement

• reduction

​ABC is mapped to A'B'C

Multiple Choice

What is the scale factor of this reduction?

Hint: Compare A'B' to AB

What do you multiply by to change the side length?

• 1/2

• 1/3

• 3

• 4

Multiple Choice

What is the scale factor of this enlargement?

Hint: Compare A'B' to AB

What do you multiply by to change the side length?

• 1/2

• 1/4

• 2

• 4

EFGH is mapped to E'F'G'H'

​We can multiply the coordinates by the

scale factor to find the new location of each coordinate.

Multiple Choice

If A(2,1) is enlarged to A'(4,2),

how can this be described algebraically?

• (1/2x, 1/2y)

• (2x, 2y)

• (1/4x, 1/4y)

• (4x, 4y)

Multiple Choice

If C(2,6) is reduced using the rule

$$\left(\frac{1}{2}x,\ \frac{1}{2}y\right)$$  

What is the location of C'?

• C'(4,12)

• C'(1,3)

• C'(1,6)

• C'(2,3)

Multiple Choice

The triangle is reduced by a scale factor of 1/4. 

Find the missing side.

• x = 20
• x = 12
• x = 5
• x = 4

​Dilation

​(englargment/reduction)

​Rigid Transformations

​Translation, Rotiation, Refection

Multiple Choice

Are the two figures congruent?

• Yes, same size and same shape
• No, same shape but different sizes
• No, different size and different shapes

Multiple Choice

Are the two figures congruent?

• Yes, same size and same shape
• No, same shape but different sizes
• No, different size and different shapes

Multiple Choice

Determine the relationship of the figures.

• Congruent

• Cannot Determine

• Similar