Similarity Transformations

A dilation is an example of__________________________

• Congruence

• Similarity

• Neither

Determine where X' would be if you translated X 3 units to the left and 9 units down.

• (-4, 4)

• (-4, -5)

• (-10, 2)

• (-1, 5)

Describe the transformation: (x-2, y+7)

• Translation 2 units to the left & 7 units up

• Translation 2 units to the right & 7 units up

• Translation 2 units to the left & 7 units down

• Translation 2 units to the right & 7 units down

Identify the transformation.

• Reflection across y axis

• 180 Rotation

• Reflection across x-axis

• Translation 2 units down

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 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.

• 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.

Brian uses two transformations to show that quadrilateral JKLM is similar to quadrilateral WXYZ. Which transformations did Brian use?

• rotation and dilation

• dilation and reflection

• dilation and translation

• reflection and translation

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 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.

​ (a)   refers to whether the pre-image and image have the same size and shape.

• Congruence

• Similarity

• Orientation of the Figure

• Orientation of the Vertices

Write a rule for the translation.

• (x -1, y  + 2)

• (x +2, y  - 1)

• (x -2, y  + 1)

• (x +1, y  -  2)