Proving Figures Are Similar Using Transformations

Which statement is true of rectangles Y and Z?

• They are congruent because their corresponding angles are congruent.

• They are similar because their corresponding angles are congruent.

• They are similar because their corresponding side lengths are proportional.

• They are not similar because their corresponding side lengths are not proportional.

Which statement is true of triangles P and Q?

• They are similar because their corresponding angles have proportional measures and their corresponding sides are congruent.

• They are not similar because their corresponding angles are congruent.

• They are similar because their corresponding angles are congruent and their corresponding side lengths are proportional.

• They are not similar because their corresponding side lengths are not proportional.

Which statement describes the relationship, if any, that exists between triangle KLM and triangle NPQ?

• They are similar because their corresponding angles are congruent and their corresponding side lengths are in the ratio 3/2 from Triangle KLM to NPQ .

• They are similar because their corresponding angles are congruent and their corresponding side lengths are in the ratio 2/1 from Triangle KLM to NPQ .

• They are not similar because their corresponding angles are not congruent.

• They are not similar because their corresponding side lengths are not proportional.

Which figure is similar to the parallelogram? (Figures may not be drawn to scale.)

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Which statement is true of triangles QRS and MNP?

• They are congruent because their corresponding angles are congruent and their corresponding side lengths are congruent.

• They are similar because their corresponding angles are congruent and their corresponding side lengths are proportional.

• They are not similar because their corresponding angles are not congruent.

• They are not similar because their corresponding side lengths are not proportional.

Rectangle R was dilated to form rectangle R' .

Which is the scale factor of the dilation?

Triangle T was dilated to form triangle T' .

Which ratio is the correct scale factor? (Figures not drawn to scale.)

The smaller triangle was dilated to form the larger triangle. What is the value of x?

• 6.9

• 7.5

• 10

• 11

The smaller triangle was dilated to form the larger triangle. What is the value of x?

• 10

• 11

• 14

• 15

Rectangle M was dilated to form rectangle M’.

What ratio is the scale factor?