Transformations Translation Rotation Dilation

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

• a dilation with a scale factor of 2 followed by a translation 4 units right and 3 units down.

• a dilation with a scale factor of 1 / 2 followed by a translation 4 units left and 3 units up.

• Translation 4 units right and 3 units down followed by a dilation with a scale factor 2.

• Translation 4 units left and 3 units up followed by a dilation with a scale factor 1 / 2.

Which transformation(s) create(s) similar figures?

• Dilation

• Translation, Reflection, and Rotation

• Translation and Reflection

• Reflection and Rotation

Figures A and B are similar.  Which transformation of figure A shows that A and B are similar?

• Translation 3 units up

• Translation 3 units down

• Dilation by a scale factor of 3

• Dilation by a scale factor of 1/3

A sequence of transformations is required to map ΔPQR onto ΔP’Q’R’. Which is a possible step?

• A dilation with scale factor 1

• A dilation with scale factor 2

• A dilation with scale factor 3

• A dilation with scale factor 4

Two figures are _______ if the second can be obtained from the first by a sequence of transformations or dilations.

• congruent

• similar

• scale

• corresponding

Circle A has center (2, 7) and radius 2. Circle B has center (9, 1) and radius 5. Which transformations can be used to show that the two circles are similar?

• Translate circle A right 7 and down 6 and then dilate with scale factor 5/2 and center (9, 1)

• Translate circle A left 7, up 6 and then dilate with scale factor 2/5 and center (9, 1).

• Dilate circle A using center (2, 7) and scale factor 2/5 then translate right 7 and down 6

• Reflect circle A over x = 5.5 and translate up 6 units.

If a figure is rotated 90 degrees clockwise about the origin and dilated by a factor of 3 the resulting image will be...

• similar

• congruent

• neither

• both

Jashon performed a transformation on a triangle with pre-image coordinates D(-6,0) E(-6,3) and F(-9,9). The coordinates of the image are D'(-2,0) E'(-2,1) and F' (-3,3). He challenges his friend Steve to describe the transformation. What response is correct?

• The pre-image was translated 3 units to the left

• The pre-image was translated 3 units to the right

• The pre-image was dilated by a scale factor of 1/3.

• The pre-image was dilated by a scale factor of 3.

Translations, reflections and rotations are all known as ________________________.

• Geometry

• Transformations

• Congruent

A transformation that “turns” a figure about a fixed point at a given angle and a given direction.

• rotation

• translation

• reflection

• dilation