Quiz about Transformations and Their Rules

Question 1

How do you get from the red triangle to the orange triangle?

Accepted Answer

rotate 180 degrees and reflect over y = 2

Answer

reflection over the y-axis and then the x-axis

Answer

rotate 270 degrees and reflect over y = 2

Answer

reflection over the y-axis and translate up 7

Answer

translate up 7, translate right 6, and then reflect over the x-axis

Question 2

Select all transformations that maintain angle measure and side length

Accepted Answer

Translations

Accepted Answer

Rotations

Accepted Answer

Reflections

Answer

Dilations

Answer

Symmetry

Question 3

Which rule best represents this transformation?

Accepted Answer

$$\left(x,y\right)\rightarrow\left(x+8,\ y-3\right)$$

Answer

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

Answer

$$\left(x,y\right)\rightarrow\left(x-8,\ y+3\right)$$

Answer

$$\left(x,y\right)\rightarrow\left(8x,\ 3y\right)$$

Question 4

Pentagon R'S'T'U'V' is a transformation of RSTUV. Which rule describes this transformation?

Accepted Answer

(x, y) --> (-y, x)

Answer

(x, y) --> (x, -y)

Answer

(x, y) --> (-x, -y)

Answer

(x, y) --> (y, -x)

Question 5

Triangle ABC was transformed to create triangle A'B'C'. Which rule best describes this transformation?

Accepted Answer

$$\left(x,y\right)\rightarrow\left(x,\, y-7\right)$$

Answer

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

Answer

$$\left(x,y\right)\rightarrow\left(x-7,\, y\right)$$

Answer

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

Question 6

Select the correct transformation rule.

Accepted Answer

rotation 90 degrees CCW

Answer

translation (x + 4, y + 2)

Answer

rotation 90 degrees CW

Answer

reflection across x = - 1

Question 7

Pentagon R'S'T'U'V' is a transformation of RSTUV. Which rule describes this transformation?

Accepted Answer

(x, y) --> (-y, x)

Answer

(x, y) --> (x, -y)

Answer

(x, y) --> (-x, -y)

Answer

(x, y) --> (y, -x)

Question 8

Reflections over the x-axis change the ____-__________.

Accepted Answer

y-coordinate

Answer

x-coordinate

Question 9

Write the Rule:

Accepted Answer

Translation Right 1 Up 3

Answer

Dilation 1

Answer

Reflection across x-axis

Answer

Translation Left 1 Down 3

Question 10

Name the transformation.

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Question 11

Identify the transformations:

Accepted Answer

translation and rotation

Answer

translation and reflection

Answer

rotation and reflection

Answer

translation and dilation

Answer

two translations

Transformations and Their Rules

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