Quiz about Geometric Transformations Quiz

Question 1

Which transformation does NOT preserve the size and shape of a geometric figure?

Accepted Answer

Dilation

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 2

What is the result of a reflection of a point $$(x, y)$$ over the y-axis?

Accepted Answer

$$(-x, y)$$

Answer

$$(x, -y)$$

Answer

$$(-x, -y)$$

Answer

$$(y, x)$$

Question 3

If a figure is rotated 90 degrees counterclockwise about the origin, what is the image of a point $$(x, y)$$ ?

Accepted Answer

$$(-y, x)$$

Answer

$$(y, -x)$$

Answer

$$(-x, -y)$$

Answer

$$(x, -y)$$

Question 4

Which of the following transformations is an isometry?

Accepted Answer

Reflection

Answer

Scaling

Answer

Dilation

Answer

Enlargement

Question 5

What is the formula for the dilation of a point $$(x, y)$$ with a scale factor of $$k$$ from the origin?

Accepted Answer

$$(kx, ky)$$

Answer

$$(\frac{x}{k}, \frac{y}{k})$$

Answer

$$(x^k, y^k)$$

Answer

$$(k + x, k + y)$$

Question 6

What is the effect of a 180-degree rotation about the origin on a point $$(x, y)$$ ?

Accepted Answer

$$(-x, -y)$$

Answer

$$(x, y)$$

Answer

$$(y, x)$$

Answer

$$(-y, -x)$$

Question 7

Which of the following is true for the reflection of a figure over the line $$y = x$$ ?

Accepted Answer

The x-coordinate and y-coordinate of each point are swapped.

Answer

The x-coordinate of each point is negated.

Answer

The y-coordinate of each point is negated.

Answer

Both coordinates of each point are negated.

Question 8

A figure is dilated with a scale factor of $$\frac{1}{2}$$ from the origin. If the original figure includes the point $$(8, 10)$$ , what are the coordinates of the corresponding point in the dilated figure?

Accepted Answer

$$(4, 5)$$

Answer

$$(16, 20)$$

Answer

$$(8, 10)$$

Answer

$$(-4, -5)$$

Question 9

What is the result of a 270-degree clockwise rotation about the origin of the point $$(x, y)$$ ?

Accepted Answer

$$(-y, x)$$

Answer

$$(y, -x)$$

Answer

$$(x, -y)$$

Answer

$$(-x, y)$$

Question 10

Which transformation can change the orientation of a figure?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Dilation

Question 11

If a figure is reflected over the line $$y = -x$$ , what happens to a point $$(x, y)$$ ?

Accepted Answer

$$(-y, -x)$$

Answer

$$(y, x)$$

Answer

$$(-x, -y)$$

Answer

$$(x, y)$$

Question 12

A square with vertices at $$(1, 1)$$ , $$(1, 4)$$ , $$(4, 4)$$ , and $$(4, 1)$$ undergoes a dilation centered at the origin with a scale factor of 2. What are the coordinates of the dilated square's vertices?

Accepted Answer

$$(2, 2)$$ , $$(2, 8)$$ , $$(8, 8)$$ , $$(8, 2)$$

Answer

$$(0.5, 0.5)$$ , $$(0.5, 2)$$ , $$(2, 2)$$ , $$(2, 0.5)$$

Answer

$$(2, 2)$$ , $$(2, 6)$$ , $$(6, 6)$$ , $$(6, 2)$$

Answer

$$(1, 1)$$ , $$(1, 4)$$ , $$(4, 4)$$ , $$(4, 1)$$

Question 13

Which image below is a translation of the pre-image shown?

Accepted Answer

Question 14

Which image below is a reflection of the pre-image shown?

Accepted Answer

Question 15

Which image below is a rotation of the pre-image shown?

Accepted Answer

Question 16

Which term does NOT a term to describe a change that preserves the size and shape of a geometric figure?

Accepted Answer

Similarity

Answer

Rigid motion

Answer

Congruence transformation

Answer

Isometry

Question 17

Which transformation results in an image that is similar to the pre-image?

Accepted Answer

Dilation

Answer

Rotation

Answer

Reflection

Answer

Translation

Geometric Transformations Quiz

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