Transformations and Similarity

 a coordinate point that serves as the focal point for generating a dilation

• Center of Dilation

• Transformation

• Congruent

• Positive Rational Numbers

a change in position or size

• Center of Dilation

• Transformation

• Congruent

• Positive Rational Numbers

shapes whose angles are congruent and side lengths are proportional

• Similar Shapes

• Transformation

• Translation

• Positive Rational Numbers

a transformation frequently described as a slide of a figure

• Similar Shapes

• Transformation

• Translation

• Positive Rational Numbers

• Yes. A dilation with center (0,0) and a scale factor of 1/2 maps ABC to ADE.

• Yes. A dilation with center (0,0) and a scale factor of 2 maps ABC to ADE.

• Yes. A translation 2 units up and 4 units right maps ADE to ABC.

• No. ABC is not similar to ADE.

Determine if the two figures are similar by using transformations.

• similar; a reflection and a dilation map one figure onto the other.

• similar; a rotation and a dilation map one figure onto the other.

• similar; a translation and a dilation map one figure onto the other.

• the figures are not similar.

Determine if the two figures are similar by using transformations.

• similar; a reflection and a dilation map one figure onto the other.

• similar; a rotation and a dilation map one figure onto the other.

• similar; a translation and a dilation map one figure onto the other.

• The figures are not similar.

The triangles are similar. Which series of transformations maps ABC onto DEF?

• translation followed by a rotation

• translation followed by a dilation

• rotation followed by a dilation

• reflection followed by a dilation

The triangles are similar. Which series of transformations maps ABC onto DEF?

• reflection followed by a dilation

• rotation followed by a dilation

• translation followed by a dilation

• translation followed by a rotation

Which set of transformations could be applied to figure A to map it onto A'?

• reflect over y-axis, then translate down 2 units

• reflect over y-axis, then translate down 6 units

• rotate 180º about the origin, then reflect over x-axis

• rotate 90º CW about the origin, then relfect over x-axisfl