Ontario 10 Applied (MFM2P)

Transformations and similarity

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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Determine the lengths of sides of similar triangles, using proportional reasoning