6. Transformations

Consider the figures shown.

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a

Are the two triangles congruent, similar or neither?

Congruent

A

Similar

B

Neither

C

Congruent

A

Similar

B

Neither

C

b

What is the transformation from triangle $ABC$`A``B``C` to triangle $A'B'C'$`A`′`B`′`C`′?

Dilation

A

Reflection

B

Rotation

C

Translation

D

Dilation

A

Reflection

B

Rotation

C

Translation

D

c

What is the scale factor of the dilation from triangle $ABC$`A``B``C` to triangle $A'B'C'$`A`′`B`′`C`′?

Easy

Approx a minute

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Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations. Describe a sequence that exhibits the similarity between two given similar figures.