Proving Figures Are Similar Using Transformation

Name the series of transformations that maps ABC onto DEF

• reflect over x then translate left 6 up 1

• reflect over y then translate down 6 left 1

• translate right 6 down 1, then reflect over x

• rotate 90 clockwise then reflect over y

Figure I and Figure II are similar figures. Which proportion must be true?

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What is the scale factor of the dilation?

• 5/2

• 3/2

• 7/2

• 2/3

Figure I and Figure II are similar pentagons. Which proportion must be true?

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• 
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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

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.

What type of transformation results in SIMILAR figures?

• Translation

• Reflection

• Rotation

• Dilation

The preimage above is rotated 90^o counterclockwise. How do the side lengths in the preimage compare to the side lengths in the image?

• Some of the side lengths increase in measure and other side lengths decrease in measure.

• The measures of the side lengths double.

• The measures of the side lengths decrease by one third.

• The measures of the side lengths are the same.

The two figures in each question are similar. Which of the following is true? Pentagon GYKMR ∼ ________

• Pentagon EABCD

• Pentagon ARMKY

• Pentagon AEDCB

• Pentagon BACDE