Dilation

Dilation

Multiple Choice

 $\Delta JKL\$  has the following coordinates J(-8,2), K(7,9), L(9,-12). When dilated the new coordinates are J'(-2,0.5), K'(1.75,2.25), L'(2.25,-3). What is the scale factor?

• -1/4

• -4

• 1/4

• 4

Multiple Choice

Rectangle ABCD is dilated so that A' is located at (3, 6). What could be the scale factor?

• $\frac{3}{2}$

• $\frac{1}{2}$
  

• $\frac{2}{3}$
  

• $\frac{1}{3}$
  

Multiple Choice

If the blue polygon is the original image, find the scale factor and determine if it is a reduction or enlargement.

• It's a reduction; the scale factor is 2.

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

• It's an enlargement; the scale factor is 1/2.

• It's a reduction; the scale factor is 1/2.

Multiple Choice

What is the scale factor from the large triangle to the small triangle?

• 1/2
• 2/3
• 3/4
• 2

Multiple Choice

What is the scale factor from triangle ABC to triangle DEF?

• 1/2
• 7/3
• 2/1
• 10/3

Multiple Choice

ABC ~ XYZ. What is the scale factor of the dilation of ABC to XYZ?

• $\frac{2}{3}$

• $\frac{3}{2}$

• 2

• 3

Multiple Choice

A ~ B. What is the scale factor of the dilation of A to B?

• $\frac{4}{3}$

• $\frac{3}{4}$

• 3

• 4

Multiple Choice

Two objects that are the same shape but not the same size are _______.

• Congruent
• Vertical
• Similar
• Complementary 

Multiple Choice

If the scale factor is less than one, the new figure will be

• an enlargement
• a reduction
• a scale factor
• bigger

Multiple Choice

If the scale factor is greater than one, the new figure will be

• a reduction
• an enlargement
• a scale
• not proportional

Multiple Choice

What is the formula for scale factor?

• $\frac{new}{old}$

• $\frac{old}{new}$

Multiple Choice

Which of the following is the algebraic representation for a dilation?

• (x, y) → (x, 3y)
• (x, y) → (3x, 3y)
• (x, y) → (x, y - 3)
• (x, y) → (.5x, .4y)

Multiple Choice

How do you write the algebraic notation when the scale factor is 1/2?

• (x, y) goes to (2x, 2y)
• (x, y) goes to (1/2x, 1/2y)
• (x, y) goes to (-2x, -2y)
• (x, y) goes to (2x, 1/2y)

Multiple Choice

How do you write the algebraic notation when the scale factor is 3?

• (x, y) goes to (1/3x, 1/3y)
• (x, y) goes to (-3x, -3y)
• (x, y) goes to (x + 3, y + 3)
• (x, y) goes to (3x, 3y)

Multiple Choice

When the scale factor of a dilation is less than one, the dilation is a reduction.

• True
• False

Multiple Choice

When a dilation has a scale factor greater than one, the dilation is an enlargement.

• True
• False

Multiple Choice

A dilation produces a congruent figure

• True

• False

Multiple Choice

The point A (8, 12) was dilated to become point A' (2, 3). What was the scale factor?

• ½

• ¼

• 4

• 2

Multiple Choice

Choose the correct scale factor:

• 2
• 3
• 1/3
• 1/2

Multiple Choice

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?

• (5,3), (6,2), (1,-2)
• (6,0), (9,-3), (-6,-15)
• (2/3,0), (1,-1/3), (-2/3,-5/3)
• (-1,-3), (0,-4), (-5,-8)

Multiple Choice

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

• ½
• ¼
• 4
• 2

Multiple Choice

Choose the correct scale factor:

• 2
• 3
• 1/3
• 1/2

Multiple Choice

(x, y) -> (2x, 2y) 
What is the coefficient 2 mean?

• plot 2 to the right and 2 up
• scale factor is 2 creating a new figure half the size
• scale factor is 2 making a figure twice the 
  original
• I don't understand this question : ( 

Multiple Choice

Definition: The figure before a transformation has occurred. 

• Pre-image
• Image
• Translation
• Reflection

Multiple Choice

Definition: The figure after a transformation has occurred. 

• Pre-image
• Image
• Translation
• Reflection

Multiple Choice

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

• (5,3)
• (20,12)
• (-20,-12)
• (-5,-3)

Multiple Choice

Does the image show a dilation?

• Yes
• No

Multiple Choice

Does the image show a Dilation?

• Yes
• No

Multiple Choice

What is Dilation?

• Dilation means to enlarge or reduce
• Dilation means to reflect on something
• Dilation means to like something
• Dilation means to make something different by making it smaller