Series of Transformations

Quick Review

Multiple Choice

Simplify using positive exponents.

$$\frac{a^6b^3}{a^3b^5}$$

• $$a^3b^2$$

• $$\frac{a^3}{b^{-2}}$$

• $$\frac{a^3}{b^2}$$

• $$-a^3b^2$$

Categorize

Options (6)

$$\frac{2\pi}{4\pi}$$  

$$\left(\sqrt[]{89}\right)^2$$  

$$-\frac{4}{7}$$  

$$\sqrt[]{45}+\sqrt[]{20}$$  

$$-34\pi$$  

$$8.121121112...$$  

Identify each expression as rational or irrational.

Rational

Irrational

​Series of Transformations

Match

Match each word to the correct transformation.

• dilation

• reflection

• rotation

• translation

enlargement

flip

turn

slide

• enlargement

• flip

• turn

• slide

Match

Match each rule to the correct transformation.

• reflection over the y-axis

• $$90\degree$$ CCW rotation

• $$270\degree$$ CCW rotation

• left 5, up 3

• right 5, up 3

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

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

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

• $$\left(x,\ y\right)\rightarrow\left(x-5,\ y+3\right)$$

• $$\left(x,\ y\right)\rightarrow\left(x+5,\ y+3\right)$$

Multiple Choice

Triangle ABC is going to be translated. Where would  $$A'$$ be if the translation was $$(x,\ y)\rightarrow(x+3,\ y-2)$$ ?

• $$(-1,\ 3)$$

• $$(5,\ 3)$$

• $$(5,\ 8)$$

• $$(3,\ 5)$$

Multiple Choice

Determine how to translate $$\Delta ABC$$ into $$\Delta A'B'C'$$ .

• $$(x+2,\ y-5)$$

• $$(x+2,\ y-9)$$

• $$(x-2,\ y-9)$$

• $$(x-2,\ y+9)$$

Multiple Choice

If you were to rotate figure ABCD $$180°$$ about the origin, what would the coordinates of $$A'$$ be?

• $$(-5,\ -3)$$

• $$(-3,\ -5)$$

• $$(-5,\ 3)$$

• $$(5,\ -3)$$

Multiple Choice

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

• $$(-4,\ 2)$$

• $$(-2,\ 4)$$

• $$(-2,\ -4)$$

• $$(2,\ 4)$$

Multiple Choice

Reflect the point $$(6,\ -3)$$ over the x-axis.

• $$(6,\ 3)$$

• $$(-6,\ -3)$$

• $$(-3,\ 6)$$

• $$(3,\ -6)$$

Multiple Choice

An office supply store sells index cards in two different sizes. The large size is an enlargement of the small size. Both sizes are shown. Find the scale factor of the enlargement.

• $$k=2$$

• $$k=3$$

• $$k=\frac{1}{2}$$

• $$k=\frac{1}{3}$$

Multiple Choice

Which of the following describes the sequence of transformations shown?

$$A\rightarrow A'\rightarrow A''$$

• 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

What sequence of transformations will map trapezoid $$A$$ into $$A'$$ ?

• reflection then translation

• dilation then translation

• reflection then rotation

• rotation then dilation

Multiple Choice

What sequence of transformations could map $$∆ABC$$ into $$∆A''B''C''$$ ?

• 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

Describe a sequence of transformations that maps figure A into figure B.

• A translation 4 units right followed by a reflection across the x-axis
• A reflection across the x-axis followed by a reflection across the y-axis
• A reflection across the y-axis followed by a translation 6 units down
• A 90° counter-clockwise rotation about the Origin followed by a reflection across the y-axis

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

What is the sequence of transformations?

• Reflect over the y-axis then reflect over the x-axis
• Reflect over the x-axis then reflect over the y-axis
• Translate 4 units then rotate 90˚ counter-clockwise about the origin
• Rotate 90˚ counter-clockwise about the origin then reflect over the x