Transformations Unit 1 Overview

Unit 1 Quick Review

Multiple Choice

The point that is to be transformed is called the:

• Pre-Image
• Image
• Post-Image
• Transformation

Multiple Choice

After being transformed the new point is called a(n):

• Pre-Image
• Post Image
• Transformed
• Image

Multiple Choice

Determine how to translate triangle ABC to triangle A'B'C'.

• (x-2, y+5)
• (x+2, y-9)
• (x-2, y+9)
• (x-9, y+2)

Multiple Choice

What transformation is happening?
(x, y) ----> (x + 2, y - 3) 

• slide up 2, left 3
• slide right 2, up 3
• slide right 2, down 3
• slide left 3, right 2

Multiple Choice

Reflect the point (2, -4) over the y-axis.

• (-4, 2)
• (-2, 4)
• (-2, -4)
• (2, 4)

Multiple Choice

Reflect (6, -3) over the line x-axis.

• (6, 3)
• (-6, -3)
• (-3, 6)
• (3, -6)

Multiple Choice

The point ( -2,5) is reflected over the line x = 1.  Find its image.

• (  4,  5)
• ( -2  , -5)
• ( 2  ,  5)
• (2   , -5)

Multiple Choice

∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?

• S'(3, 7)
• S'(-3, 7)
• S'(-3, -7)
• S'(3, 7)

Multiple Choice

Identify the transformation from C to D.

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

Multiple Choice

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

• Reflection across the x-axis
• Reflection across the y-axis
• 90^o clockwise rotation
• 90^o counterclockwise rotation

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

The image shows what type of transformation

• Rotation
• Translation
• Reflection

Multiple Choice

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

• Translation
• 90^o clockwise rotation
• 90^o counterclockwise rotation
• Reflection across the x-axis

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

Identify the transformation from A to D.

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

Multiple Choice

Which of the following motions are RIGID? Read all choices carefully first.

• Translation

• Reflection

• Rotation

• All of the Above

Multiple Choice

This is an example of a dilation. Since the figure changes size (length is NOT preserved), we say this is a ____________ motion.

• Non Rigid

• Rigid

• Rotation

• Reflection

Sequence of Transformations

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

What sequence of transformations could map ∆ABC onto its image ∆A''B''C''?

• a reflection followed by a rotation

• a reflection followed by a translation

• a translation followed by a rotation

• a translation followed by a reflection

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

Which transformation is shown?

• Translation

• Reflection over the x-axis

• Reflection over the y-axis

• 180^o rotation

Multiple Choice

Identify the sequences of transformations from the green image to the red image to the blue image.

• rotation then translation

• translation then rotation

• translation then reflection

• rotation then reflection

Multiple Choice

Identify the sequences of transformations from the red image to the blue image to the green image.

• translation then translation

• rotation then reflection

• rotation then rotation

• reflection then translation

What's next? Reflectional and Rotational Symmetry

Multiple Choice

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

$$Use\ \ the\ \ formula\ \ \frac{360\degree}{n}$$ Use the number of edges as n. 

• 90°

• 180°

• 45°

• 60°

Multiple Choice

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

$$\frac{360}{number\ of\ sides}$$  

• 72°

• 180°

• 144°

• 45°

Multiple Choice

How many lines of symmetry does this shape have?

This a regular octogon, an 8 sided figure.

• 2

• 4

• 6

• 8

Multiple Choice

How many lines of symmetry does the picture have? 

This is an equilateral triangle.

• 0 lines of symmetry

• 1 line of symmetry

• 2 lines of symmetry

• 3 lines of symmetry

Multiple Select

How many lines of symmetry does this figure have?

• None

• Two

• One

Multiple Choice

Find the order of rotational symmetry in this shape.

• 2

• 3

• 4

• 5

Multiple Choice

Determine whether the figure has line symmetry, rotational symmetry, both, or neither.

• Rotational

• Reflectional

• Both

• Neither