Understanding similarity

Are the two prisms similar? If yes, what is the scale factor.

• no

• yes

  3 : 4

• yes

  1 : 3

• yes

  6 ; 8

Select all the transformations that can result in similar figures:

• translation

• rotation

• reflection

• dilation

Select ALL that apply.

• Dilation using 2 as scale factor followed by y-axis reflection.

• X axis reflection followed by dilation using scale factor of 2

• Y axis reflection followed by dilation using scale factor of 2

• 90 CCW rotation followed by dilation using scale factor of 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

Figures A, B, C, and D are drawn. The center of dilation is point E. Which of the following figures are similar to figure A? Choose all correct answers.

• Figure B

• Figure C

• Figure D

Describe the similarity transformation that maps WXY to ABC (dilations have a center at the origin)

• dilation with a scale factor of 1/3 followed by a reflection in the y-axis

• dilation with a scale factor of 1/3 followed by a reflection in the x-axis

• dilation with a scale factor of 3 followed by a reflection in the y-axis

• dilation with a scale factor of 3 followed by a reflection in the x-axis

Solve for x for the similar prisms.

• 9

• 4

• 3.5

• 6

Mrs. Johns is preforming a transformation on a square. Which transformation results in a similar square, but not congruent to the original square?

• Rotation

• Reflection

• Translation

• Dilation

If Triangle ABC is mapped onto Triangle DEF after a rotation and Triangle DEF is mapped onto Triangle XYZ after a translation, the relationship between Triangle ABC and Triangle XYZ is that they are always...

• congruent and similar

• congruent but not similar

• similar but not congruent

• neither similar nor congruent

Which series of transformations shows that figures 1 and 2 are similar?

• a dilation of figure 1 with scale factor 1 / 4 , then a reflection and a translation

• a dilation of figure 1 with scale factor 1 / 2 , then a reflection and a translation

• a dilation of figure 1 with scale factor 1 / 4 , then a rotation and a translation

• a dilation of figure 1 with scale factor 1 / 2 , then a rotation and a translation