Transformations and Similarities

Which transformations turn triangle ABC into A'B'C'?

• dilation of 2

• dilation of ½

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

Dilate Point B by a scale factor of 1/2

• (1.5,-4)

• (-1.5,1)

• (-1,-1.5)

• (-2,-2)

Triangle ABC will be dilated by a scale factor of 1/2.  What will be the coordinates of C'?

• (-1, -2.5)

• (12, 6)

• (3, -1.5)

• (0, 1.5)

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

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.

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.

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