Similarity Transformation

What is the scale factor of the dilation from A to B ?

• 2

• 1

• 1/2

• 1/3

Is the dilation from A to B an enlargement or a reduction?

• enlargement

• reduction

Is the dilation from A to B an enlargement or a reduction?

• enlargement

• reduction

Is the dilation from A to B an enlargement or a reduction?

• enlargement

• reduction

ΔOBC is similar to ΔOGT because: (choose the best answer)

• ΔOBC can be dilated about point O by a scale factor of 1/2, and then rotated 90 degrees about point O.

• ΔOBC can be dilated about point G by a scale factor of 1/2, and then reflected over the x- axis

• They aren't similar

• They map to each other with similarity transformations.

Triangles ABC and A'B'C' are shown in the coordinate plane. Which statement describes a sequence of transformations that can be used to verify that triangle A'B'C' is similar to triangle ABC?

• Reflect triangle ABC across the x-axis, followed by a dilation with a scale factor of 2 about the origin.

• Reflect triangle ABC across the y-axis, followed by a dilation with a scale factor of 1/2 about the origin.

• Reflect triangle ABC across the x-axis, followed by a dilation with a scale factor of 1/2 about the origin.

• Reflect triangle ABC across the y-axis, followed by a dilation with a scale factor of 2 about the origin.

What transformations can you use to show Triangle ABC and Triangle DEF are similar?

• Rotation 180° CW, Dilation by 2

  Translation

• Rotation 90° CW, Dilation by 2

  Translation

• Rotation 90° CW, Dilation by 1/2, Translation

• Rotation 180° CW, Dilation by 1/2

  Translation

Determine two similarity transformations that would map triangle 1 onto triangle 2.

• Reflected across the y-axis and then dilated from the origin by a scale factor of 2

• Reflected across the x-axis and then dilated from the origin by a scale factor of 1/2

• Reflected across the y-axis and then dilated from the origin by a scale factor of 1/2

• Rotated across the y-axis and then dilated from the origin by a scale factor of 2

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

After a dilation w/ center Point A, what transformation would have ABC (blue) match up to CDE (red)?

• Translation

• Reflection

• Rotation

• Another Dilation

Answer explanation

The larger blue triangle is formed after the dilation w/ center A. It would have to SLIDE (translate) into place.