Transformations

Transformations

Multiple Choice

Which of the following transformation is NOT a rigid motion?

• Translation

• Reflection

• Rotation

• Dilation

Multiple Choice

Point A has the coordinates (-2, 5). It is then translated

 $T_{<-5,\ 4>}$ . What is the coordinate of A'? 

• (3, 9)

• (-7, 9)

• (3, 1)

• (-7, 1)

Multiple Choice

What is the rule for the rigid motion?

•  $T_{<-5,\ 3>}$  

•  $T_{<5,\ -3>}$  

•  $T_{<5,\ 3>}$  

•  $T_{<-5,\ -3>}$  

Multiple Choice

Which of the following transformations makes up glide reflection?

• Translation

• Reflection

• Both Translation and Reflection

• None of the above

Multiple Choice

Which of the following describes the transformation given that Figure 1 is the preimage of Figure 2, and Figure 2 is the preimage of Figure 3?

• Reflect Figure 1 in line m, then translate parallel to line m

• Translate Figure 1 then reflect Figure 2 in line m

• Cannot be determined

Multiple Choice

Which of the following does not show glide reflection?

Multiple Choice

How many lines of symmetry does the figure have?

• 1

• 3

• 5

• 7

Multiple Choice

Which of the following figures has point symmetry?

Multiple Choice

What type(s) of symmetry does the figure have?

• Reflectional Symmetry

• Rotational Symmetry

• Point Symmetry

• All of the above

Multiple Choice

Which of the following shows reflection about the x-axis?

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

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

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

•  $\left(1,\ 2\right)\ \rightarrow\ \left(1,\ 2\right)$  

Multiple Choice

What are the coordinates of the image of J whose coordinates are (-1, 3) if it is reflected along the y-axis?

• $\left(1,\ -3\right)$

• $\left(-1,\ -3\right)$

• $\left(1,\ 3\right)$

• $\left(-1,\ 3\right)$

Multiple Choice

Which of the following shows reflection across the y-axis?

Multiple Choice

Point A whose coordinates (-1, -4) was rotated 270⁰ counterclockwise about the origin. What is the coordinate of its image A'?

• $\left(-4,\ -1\right)$

• $\left(4,\ -1\right)$

• $\left(4,\ 1\right)$

• $\left(-4,\ 1\right)$

Multiple Choice

The triangle shown is rotated 90⁰ clockwise about the origin. Which of the following shows the correct transformation?

Multiple Choice

If the measure of the angle formed by the lines of reflection is 50⁰, what is the measure of the angle of rotation?

• $50\degree$

• $25\degree$

• $75\degree$

• $100\degree$

Fill in the Blanks

A

maps an initial image, called preimage, onto a final image called an image.

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A

is a transformation in a plane that maps all points of a preimage the same distance and in the same direction.

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A

is a transformation that preserves length and angle measure.

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What translation rule maps STUV onto S'T'U'V'?

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A

is a transformation that reflects points in the preimage across a line of reflection.

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A

is a transformation that rotates each point in the preimage about point P, called the center of rotation by an angle measure of x⁰, called angle of rotation.

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When a series of rigid motions takes place with one rigid motion building off another, this is called

.

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The composition of reflection followed by a translation in a direction parallel to the line of reflection is a rigid motion called

.

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A figure has

if a rigid motion can map the figure onto itself.

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A figure is said to have

symmetry if it has a 180-degree rotational symmetry.

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is a symmetry for which a reflection maps the figure onto itself.