Transformations Study Guide

Transformations Study Guide

By Adeyefa Finch

Multiple Choice

A slide is also called a _________.

• Translation

• Reflection

• Rotation

• Transformation

Multiple Choice

A turn is also called a ___________.

• Translation

• Reflection

• Rotation

• Transformation

Multiple Choice

A flip or mirror is also called a ___________.

• Translation

• Reflection

• Rotation

• Transformation

Multiple Choice

Translations, reflections and rotations are all known as ________________________.

• Geometry

• Transformations

• Congruent

Multiple Choice

Identify the transformation from ABC to A'B'C'.

• 90^o clockwise rotation

• 90^o counter clockwise rotation

• Reflection across the y-axis

• Reflection across the x-axis

Multiple Choice

How is triangle ABC being translated to triangle A'B'C'?

• up 3, left 8
• up 9, left 4
• down 3, right 8
• down 9, right 4

Multiple Choice

What is Dilation?

• Dilation means to enlarge or reduce
• Dilation means to reflect on something
• Dilation means to like something
• Dilation means to make something different by making it smaller

Multiple Choice

Identify the transformation.

• Reflection across y axis

• Reflection across x-axis

• 180 Rotation

• Translation 2 units down

Multiple Choice

Does the image show a Dilation?

• Yes
• No

Multiple Select

How many degrees was the figure rotated? (Select ALL correct answers.)

• 90 degrees counterclockwise

• 180 degrees

• 90 degrees clockwise

• 270 degrees counterclockwise

Multiple Choice

Does the image show a dilation?

• Yes
• No

Multiple Choice

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

• (5,3)
• (20,12)
• (-20,-12)
• (-5,-3)

Multiple Choice

(x, y) -> (2x, 2y) 
What is the coefficient 2 mean?

• plot 2 to the right and 2 up
• scale factor is 2 creating a new figure half the size
• scale factor is 2 making a figure twice the 
  original
• I don't understand this question : ( 

Multiple Choice

Choose the correct scale factor:

• 2
• 3
• 1/3
• 1/2

Multiple Choice

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

• (5,3), (6,2), (1,-2)
• (6,0), (9,-3), (-6,-15)
• (2/3,0), (1,-1/3), (-2/3,-5/3)
• (-1,-3), (0,-4), (-5,-8)

Practice Test

Some text here about the topic of discussion

Multiple Choice

A figure is located entirely in quadrant III. If it is reflected over the y-axis, in which quadrant will its image lie?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Multiple Choice

A slide is also called a _________.

• Translation
• Reflection
• Rotation
• Transformation

Multiple Choice

(x, y) -------> (x, -y) is a reflection over the x axis.       

• True
• False

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)

Multiple Choice

How is triangle ABC being translated to triangle A'B'C'?

• up 3, left 8
• up 9, left 4
• down 3, right 8
• down 9, right 4

Multiple Choice

The algebraic expression for an enlargement by a scale factor of 3 is...

• (x, y)→(3x, 3y)
• (x, y)→(3, 3)
• (3x, y)→(x, y)
• (x, y)→(3x)

Multiple Choice

The image of the point (2, -7) reflected over the what line would be (-7, 2).

• x - axis

• y - axis

• y = x

• x = 1

Multiple Choice

Identify the transformation from A to D.

• 90^o Clockwise Rotation
• 180^o Rotation
• 270^o Clockwise Rotation
• 360^o Rotation

Multiple Choice

What is the rule for the following reflection?

• Reflection across y = −2

• Reflection across x = −2

• Reflection across x = 2

• Reflection across y = 2

Multiple Choice

Reflect the shape over the line y = x. Where is A'?

• (7, 2)

• (-2, 7)

• (2, -7)

• (-7, -2)

Multiple Choice

Which sequence of transformations is used to transform the original image to the final image? Original: ABCD Final: A" B" C"D"

• Reflect over the x-axis and then rotate clockwise 90 around the origin.

• Rotate counterclockwise 90 around the origin and then translate 8 units left.

• Reflect over the y-axis and then rotate counterclockwise 90 around the origin.

• Rotate clockwise 90 around the origin and then translate 8 units left.

Multiple Choice

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

• Translated 5 units down and 5 units to the right

• Translated 5 units down and 1 to the right

• Translated 8 units down and 5 units to the right

• Translated 5 units down and 4 units to the right

Multiple Choice

Describe the transformation shown in the graph.

• Reflect over x-axis

• Reflect over y-axis

• Rotate 270 degrees CCW

• Rotate 90 degrees CCW

Fill in the Blanks

Multiple Choice

Triangle ABC was dilated with the origin as the center of dilation to create triangle A'B'C'. Which rule represents the dilation that was applied to the triangle ABC to create triangle A'B'C'?

• (x, y) -> (1/2x, 1/2y)

• (x, y) -> (2x, 2y)

• (x, y) -> (x - 2, y -2)

• (x, y) -> (3x, 3y)

Multiple Choice

Triangle XYZ was dilated with the origin as the center of dilation to create triangle X'Y'Z'. Which rule best represents the dilation that was applied to the triangle XYZ to create triangle X'Y'Z'?

• $$\left(x,y\right)\rightarrow\left(\frac{2}{3}x,\ \frac{2}{3}y\right)$$

• $$\left(x,y\right)\ \rightarrow\ \left(x+1,\ y\ +3\right)$$

• $$\left(x,y\right)\ \rightarrow\ \left(1.5x,\ 1.5y\right)$$

• $$\left(x,y\right)\ \rightarrow\ \left(x-2,\ y+1\right)$$