Transformation Similarity

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

• enlargement

• reduction

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

• 1/4

• 1/2

• 1

• 2

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

• 2

• 1

• 1/2

• 1/3

What is the scale factor of the dilation shown ?

• 2/5

• 3/4

• 5/12

• 3

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.

• Translated (5, 4) and then dilated from the origin by a scale factor of 3

• Translated (-4, -5) and then dilated from the origin by a scale factor of 3

• Translated (5, 4) and then dilated from the origin by a scale factor of 4

• Translated (4, -5) and then dilated from the origin by a scale factor of 3

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.

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?

• reflection followed by a dilation

• rotation followed by a dilation

• translation followed by a dilation

• translation followed by a rotation

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.