Quiz about Transformation in a Plane

Question 1

Identify the transformation from ABCD to A'B'C'D'.

Accepted Answer

Reflection across the y-axis

Answer

Translation

Answer

Reflection across the x-axis

Answer

90^o counter clockwise rotation

Question 2

Identify the transformation from ABC to A'B'C'.

Accepted Answer

(x+8, y+4)

Answer

(x-8, y-4)

Answer

(x+4, y+8)

Answer

(x-4, y-8)

Question 3

Identify the transformation from ABC to A'B'C'.

Accepted Answer

Reflection across the x-axis

Answer

90^o clockwise rotation

Answer

90^o counter clockwise rotation

Answer

Reflection across the y-axis

Question 4

The mapping, or movement, of all points of a figure in a plane according to a common operation, such as translation, reflection or rotation

Accepted Answer

Transformation

Answer

Rotation

Answer

Translation

Answer

Reflection

Question 5

A figure is graphed on a coordinate plane with (x, y) representing the location of a point on the figure. The figure is transformed using the rule (x, y) --> (ax, ay). Which statement is true?

Accepted Answer

If a is between 0 and 1, the image of the figure is smaller than the figure.

Answer

If a is greater than 1, the image of the figure is congruent to the figure.

Answer

If a is between 0 and 1, the image of the figure is congruent to the figure.

Answer

If a is greater than 1, the image of the figure is smaller than the figure.

Question 6

What transformation is happening?
(x, y) ----> (x + 2, y - 3)

Accepted Answer

slide right 2, down 3

Answer

slide up 2, left 3

Answer

slide right 2, up 3

Answer

slide left 3, right 2

Question 7

Which algebraic representation of a transformation on a coordinate plane does NOT preserve congruence?

Accepted Answer

(x,y) -> (8x, -8y)

Answer

(x,y) -> ( x+8, y+8)

Answer

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

Answer

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

Question 8

A figure is graphed on a coordinate plane with (x, y) representing the location of a point on the figure. The figure is transformed using the rule (x, y) --> (ax, ay). Which statement is true?

Accepted Answer

If a is between 0 and 1, the image of the figure is smaller than the figure.

Answer

If a is greater than 1, the image of the figure is congruent to the figure.

Answer

If a is between 0 and 1, the image of the figure is congruent to the figure.

Answer

If a is greater than 1, the image of the figure is smaller than the figure.

Question 9

Which representation of a transformation on a coordinate plane does NOT preserve congruence?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 10

When translating a figure on a coordinate plane, which coordinate is affected by movement up and down?

Accepted Answer

The y-coordinate

Answer

The x-coordinate

Answer

Neither

Transformation in a Plane

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