Quiz about Math 8 Chapter 2 Test: Transformations

Question 1

Which of the following sequences of transformations

WILL produce similar but NOT congruent figures?

Accepted Answer

A Reflection over the x-axis followed by a Dilation $$k=2$$ .

Answer

180 Degree Rotation followed by a Translation.

Answer

A Reflection over the y-axis followed by a reflection over the x-axis.

Answer

90 Degree Clockwise Rotation followed by a Reflection.

Question 2

Reflect over x-axis. Which point would be at $$(3,-6)$$

Accepted Answer

A'

Answer

B'

Answer

C'

Answer

H'

Question 3

If GHIJ is rotated $$90\degree$$ clockwise, which quadrant will the image land in?

Accepted Answer

Q IV

Answer

Q I

Answer

Q II

Answer

Q III

Question 4

Which rule describes the Translation?

Accepted Answer

$$\left(x,y\right)\rightarrow(x-2,\ y+9)$$

Answer

$$\left(x,y\right)\rightarrow(x+9,\ y-2)$$

Answer

$$\left(x,y\right)\rightarrow(x-9,\ y+2)$$

Answer

$$\left(x,y\right)\rightarrow(x-2,\ y-9)$$

Question 5

$$\Delta ABC\cong\Delta XYZ$$

Check all statement that are TRUE.

Accepted Answer

$$\overline{BC}\cong\overline{YZ}$$

Accepted Answer

$$\overline{AC}\cong\overline{XZ}$$

Accepted Answer

$$\angle B\cong\angle Y$$

Answer

$$\angle A\cong\angle Z$$

Question 6

The table contains the pre-image and image points of a quadrilateral. What is the scale factor of this dilation?

Accepted Answer

$$k=\frac{3}{4}$$

Answer

$$k=2$$

Answer

$$k=1$$

Answer

$$k=\frac{1}{4}$$

Question 7

Which of the following algebraic rules represents an enlargement? Choose all that apply.

Accepted Answer

$$(x,y)\rightarrow(3x,3y)$$

Accepted Answer

$$(x,y)\rightarrow(5x,5y)$$

Answer

$$(x,y)\rightarrow(0.5x,0.5y)$$

Answer

$$(x,y)\rightarrow(0.9x,0.9y)$$

Question 8

Enlargement or reduction? Find the scale factor!

Accepted Answer

It's a reduction; the scale factor is $$\frac{1}{3}$$

Answer

It's an enlargement; the scale factor is 3.

Answer

It's a reduction; the scale factor is $$\frac{1}{2}$$

Answer

It's an enlargement; the scale factor is 2.

Question 9

Which series of transformations were performed in the figure?

Accepted Answer

Rotation 90^oclockwise, reflection over the x-axis

Answer

Translation 5 units down, reflection over the y-axis

Answer

Reflection over the

x-axis, translation 6 units right

Answer

Rotation 180^oclockwise, reflection over the y-axis

Question 10

Which of the following describes the sequence of transformations shown?

Accepted Answer

Translate up and then rotate

90 degrees counterclockwise about the origin.

Answer

Reflect across the x-axis and then rotate 90 degrees clockwise around the origin

Answer

Rotate 90 degrees clockwise around the origin and then translate down.

Answer

Reflect across the x-axis and then reflect across the y-axis.

Question 11

Which of the following is one possible sequence of transformations?

Accepted Answer

Dilation with scale factor 2, then Reflection over the y-axis

Answer

Dilation with scale factor 2, then Reflection over the x-axis

Answer

Dilation with scale factor $$\frac{1}{2}$$ , then Reflection over the y-axis

Answer

Dilation with scale factor $$\frac{1}{2}$$ , then Reflection over the x-axis

Math 8 Chapter 2 Test: Transformations

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