Dilation and Proportions

Quadrilateral ABCD is similar to quadrilateral MNOP. Which of the following proportions is not true about the two figures?

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Quadrilateral ABCD is dilated with the origin as the center of dilation to create quadrilateral A’B’C’D’. Which rule best represents the dilation that has been applied to quadrilateral ABCD to create quadrilateral A’B’C’D’?

Triangle ABC is shown on the coordinate grid and is dilated about the origin to create triangle A’B’C’. Which two statements must be true about triangle A’B’C’?

• Triangle A'B'C' is larger than triangle ABC because the scale factor is greater than 1.

• Triangle A’B’C’ is smaller than triangle ABC because the scale factor is less than 1.

• Triangle A’B’C’ is smaller than triangle ABC because the scale factor is greater than 1.

• Angle B’ is half the size of angle B.

• Angle A’ is the same measurement as angle A.

If one side length of a shape is 8.4 cm and the corresponding side length of its dilation is 23.1 cm, the scale factor is 4/11

• True

• False

The scale factor, k, of a dilation can be determined by writing a ratio comparing the length of a side of the image to the length of the corresponding side of the pre image.

• True

• False

A shape and it's dilation are similar figures.

• True

• False

The corresponding angles of a shape and its dilation will have the same measures.

• True

• False

Parallelogram ABCD is similar to parallelogram EFGH. Which proportion must be true?

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Triangle CBA is similar to triangle EFD. Which three proportions must true?

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