Quiz about Dilations Review

Question 1

A polygon is graphed on a coordinate grid with (x,y) representing the location of a certain point on the polygon. The polygon is transformed using the rule (x,y) $$\rightarrow$$ (ax,ay). Which statement is true?

Accepted Answer

If a is less than 1, the image of the polygon is smaller than the polygon.

Answer

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

Answer

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

Answer

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

Question 2

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

Accepted Answer

(6,0), (9,-3), (-6,-15)

Answer

(5,3), (6,2), (1,-2)

Answer

(2/3,0), (1,-1/3), (-2/3,-5/3)

Answer

(-1,-3), (0,-4), (-5,-8)

Question 3

Dilations have which operation?

Accepted Answer

Multiplication

Answer

Addition

Answer

Subtraction

Answer

Division

Question 4

Which of the following algebraic rules represents an enlargement?

Accepted Answer

(x, y) --> (5x, 5y)

Accepted Answer

(x, y) --> (3x, 3y)

Answer

(x, y) --> (0.5x, 0.5y)

Answer

(x, y) --> (0.75x, 0.75y)

Answer

(x, y) --> (0.999x, 0.999y)

Question 5

A transformation is applied to create a new figure. Which transformation does NOT preserve congruence?

Accepted Answer

A dilation by a scale factor of 5

Answer

A reflection across the x-axis

Answer

A translation 7 units down

Answer

A rotation of $$90\degree\ clockwise$$

Question 6

What type of dilation is shown?

Accepted Answer

reduction

Answer

enlargement

Question 7

What is the scale factor for the given dilation?

Accepted Answer

$$\frac{1}{2}$$

Answer

2

Answer

5

Answer

1

Question 8

What is the algebraic representation/rule for the dilation shown?

Accepted Answer

$$\left(x,y\right)\rightarrow\ \left(\frac{1}{2}x,\ \frac{1}{2}y\right)$$

Answer

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

Answer

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

Answer

$$\left(x,y\right)\rightarrow\ \left(1x,\ 1y\right)$$

Question 9

What type of dilation is shown?

Accepted Answer

enlargement

Answer

reduction

Question 10

What is the algebraic representation/rule for the dilation shown?

Accepted Answer

$$\left(x,y\right)\rightarrow\ \left(\frac{7}{5}x,\ \frac{7}{5}y\right)$$

Answer

$$\left(x,y\right)\rightarrow\ \left(\frac{5}{7}x,\ \frac{5}{7}y\right)$$

Answer

$$\left(x,y\right)\rightarrow\ \left(7.5x,\ 7.5y\right)$$

Answer

$$\left(x,y\right)\rightarrow\ \left(5.7x,\ 5.7y\right)$$

Question 11

Dilations are similar figures.

Accepted Answer

True

Answer

False

Question 12

What operation do we use with scale factor and dilations?

Accepted Answer

multiplication

Answer

addition

Answer

subtraction

Answer

division

Question 13

A square with a perimeter of 20 units is graphed on a coordinate grid. The square is dilated by a scale factor of 0.4 with the origin as the center of dilation. What type of dilation is this?

Accepted Answer

reduction

Answer

enlargement

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