Similarity (Grade 12 NSC Matric Mathematics): Flashcards

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Similarity
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Similar polygons definition

Same form but different size; one is a scaled version of another

Are congruent polygons similar?

Yes, congruent polygons are also similar

Two conditions for polygon similarity

Equal corresponding angles & proportional corresponding sides

Both conditions needed for polygon similarity?

Yes, both must be true

Conditions to prove triangle similarity

Only one (angle equality OR side proportion)

AAA similarity theorem

Triangles with all corresponding angles equal are similar

SSS similarity theorem

Triangles with all sides in proportion are similar

SAS similarity theorem

Two proportional sides + equal included angle = similar triangles

Symbol for similarity

∣∣∣|||

Symbol for congruency

≡\equiv

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