Similar Triangles (VCE SSCE General Mathematics): Flashcards

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Similar Triangles
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Similar triangles definition

Same shape, different sizes, equal angles, proportional sides

AA test for similar triangles

Two pairs of matching angles are equal

Angles needed for AA test

Only two (third must equal as angles sum to 180°180°)

SSS test for similar triangles

All three pairs of sides have same ratio

Scale factor in similar triangles

Constant ratio between corresponding sides

SAS test for similar triangles

Two side pairs same ratio + included angle equal

Included angle definition

Angle between the two sides being compared

SAS test angle requirement

Equal angle must be between compared sides

Tests needed to prove similarity

Only one of the three tests (AA, SSS, or SAS)

Three similarity tests

AA (Angle-Angle), SSS (Side-Side-Side), SAS (Side-Angle-Side)

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