Similarity Transformation

Which best describes the composition of transformations that maps JKLM to PQRS?

Choose all correct answers.

• A similarity transformation exists that maps circle P to circle Q.

• If a similarity transformation maps circle A to circle Q, then it must include a rotation.

• All circles are similar.

• All circles are congruent.

• A rigid transformation exists that maps circle A to circle P.

In the diagram, ABCD ∼ A′B′C′D′. What are the angle measures of A′B′C′D′?

m∠A'B'C' =​ (a)   , m∠B'C'D' =​ (b)   , m∠C'D'A' =​ (c)   , and m∠D'A'B' =​ (d)   .

• 100°

• 80°

• 77°

• 103°

• 48°

• 55°

• 125°

• 110°

Which of the following are similarity transformations? Choose all that apply.

• Translation

• Dilation

• Rotation

• Stretch

• Reflection

Given that ΔAFG ~ ΔDRH, complete the following:

• AF

• AG

• FG

• FH

Given that ΔAFG ~ ΔDRH, complete the following:

• AF

• AG

• FG

• FH

Quad OBCD is similar to Quad OHTE because:

• Quad OBCD can be reflected over the x axis and then rotated 90 degrees

• Quad OBCD can be reflected over the x-axis and then dilated about point O by a scale factor of 2.

• Quad OBCD can be reflected over the y-axis and then dilated about point O by a scale factor of 2.

• Quad OBCD can be reflected over the y-axis and then dilated about point O by a scale factor of 1/2.

ΔOBC is similar to ΔOGT because: (choose the best answer)

• ΔOBC can be dilated about point O by a scale factor of 1/2, and then rotated 90 degrees about point O.

• ΔOBC can be dilated about point G by a scale factor of 1/2, and then reflected over the x- axis

• They aren't similar

• They map to each other with similarity transformations.

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

• ΔABC

• ΔACB

• ΔBCA

• ΔBAC

• ΔCAB

Why are isometric transformations a part of the similarity transformations?

• Isometric transformations maintain SIZE, and similarity transformations maintain size too.

• Isometric transformations maintain SHAPE, and similarity transformations maintain shape too.