Similar Figures and Transformations

What is the similarity statement for the triangle pair?

• ΔXYZ~ΔNEW

• ΔXZY~ΔNWE

• ΔZYX~ΔENW

• ΔYZX~ΔNWE

Identify the transformation from ABCD to A'B'C'D'.

• Translation

• Reflection across the x-axis

• Reflection across the y-axis

• 90^o counter clockwise rotation

Identify the transformation from ABC to A'B'C'.

• (x+8, y+4)

• (x-8, y-4)

• (x+4, y+8)

• (x-4, y-8)

Identify the transformation from B to A.

• 90^o Counter Clockwise Rotation

• 180^o Rotation

• 270^o Counter clockwise Rotation

• 360^o Rotation

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

• Pentagon EABCD

• Pentagon ARMKY

• Pentagon AEDCB

• Pentagon BACDE

Figures that have congruent angles and proportional side lengths are called _______________________.

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 figures below are congruent. Which series of transformations maps figure ABCD onto EFGH?

• rotation followed by a translation

• rotation followed by a dilation

• reflection followed by a translation

• reflection followed by a rotation

Are these two figures similar? Explain your reasoning!

• Yes, similar because they are the same shape and side lengths are proportional.

• No, not similar because they are the same shape, but side lengths are not proportional.

• Yes, same shape

• No, different sizes

Answer explanation

The figures are not similar because, although they have the same shape, their side lengths are not proportional. Similar figures must have corresponding sides that maintain a consistent ratio.

Are these two figures similar?

• yes

• no

Answer explanation

The two figures are not similar because they do not have the same shape or proportional dimensions. Similar figures must have corresponding angles equal and sides in proportion, which is not the case here.