Dilations and Similarities

Which transformations turn triangle ABC into A'B'C'?

• dilation of 2

• dilation of ½

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'(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)

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

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

• ½

• ¼

• 4

• 2

Which of the statements is true about the graphed triangles?

• They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

• They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

• They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

• They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

Even though the size of the image changed, which statement below explains why this is NOT an example of a dilation? (NOT similar figures)

• the width increased in size, but the height did not change at all (they must change the same way)

• the width of the image got larger, not smaller

• this is a dilation actually, because the image increased 3 times the original size

• these are not a dilation, because the two images are congruent

a dilation or a sequence of rigid motions and dilations

• center of dilation

• reflection

• similarity transformation

• rigid motion

Dilations are ________ but not congruent.

• Similar

• Flipped

• Rotated

• Congruent

Are the polygons similar?​

• Yes

• No

Triangle ABC will be dilated by a scale factor of 1/2.  What will be the coordinates of C'?

• (-1, -2.5)

• (12, 6)

• (3, -1.5)

• (0, 1.5)