Dilation Lesson

Dilations & Similarity

January 9, 2024

Multiple Choice

A dilation is which of the following:

• only an enlargement

• only a reduction

• either an enlargement or a reduction

• neither an enlargement nor a reduction

Multiple Choice

A dilation always produces a congruent figure.

• True

• False

Multiple Choice

A dilation always produces a similar figure. Similar figures have the same ______ but different ______.

• measure; shapes

• sizes; shapes

• value; measures

• shape; sizes

Multiple Choice

Did the image enlarge, reduce or none of the above?

• Enlarge

• Reduce

• None of the above

Multiple Choice

Does the image show a Dilation? If yes, did the image enlarge, reduce or none of the above?

• Yes, enlarge

• Yes, reduce

• No

Multiple Choice

Under a dilation, which scale factor will result in a congruent image?

• -2

• 0

• 1

• ¹/₂

Multiple Choice

An image is dilated at a scale factor of 1.5. This means the dilation is an enlargement and the dilated image will be bigger.

• True

• False

• -2 * 2=-4

• 1 * 2= 2

• A' (-4,2)

  
  

• ​
  
  
  

• -4 * 2= -8

• 1 * 2= 2

• B'(-8,2)
  
  
  

• ​-5*0.5=-2.5

• 5*0.5=2.5

• A'(-2.5,2.5)

• -5*0.5=-2.5

• 10*0.5=5

• B'(-2.5,5)

Multiple Choice

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

• B' (2 , 4.5)

• B' (-8 ,-18)

• B' (8 ,18)

• B' (9 ,4)

Multiple Choice

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?

A(3,3) B(6,6) C(9,3)

• A'(9,9) B'(18,18) C'(27,9)

• A'(6,6) B'(9,9) C'(12,6)

• A'(0,0) B'(3,3) C'(6,0)

• A'(1,1) B'(2,2) C'(3,1)