SME
Grade 10 Math · Problem type
Similar, and by which test?
Use this for “Which pairs of triangles must be similar, and why?”
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Must the triangles be similar? By which test?
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Assumptions
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AA: two pairs of equal angles. SSS: all three side ratios equal.
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SAS: two side ratios equal and the angles between those sides equal.
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Anything less is not enough: the triangles might not match.
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The Pythagorean theorem's converse and special right triangles
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Translations, rotations, reflections and dilations
Proportional relationships and the constant of proportionality
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