Congruence and Similarity

NZ Level 6 (NZC) Level 1 (NCEA)

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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Recognise when shapes are similar and use proportional reasoning to find an unknown length

Compare and apply single and multiple transformations

Apply geometric reasoning in solving problems

Apply transformation geometry in solving problems