Triangles Mind Map
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Similarity of triangles
highTwo triangles are similar when their corresponding angles are equal and their corresponding sides are in the same ratio.
Write the corresponding vertices in the same order before checking angles or side ratios.
AAA similarity criterion
highIf three angles of one triangle are respectively equal to three angles of another triangle, the triangles are similar.
If two corresponding angles match, the third one will also match because the total is always 180°.
SAS similarity criterion
highTwo triangles are similar if one included angle is equal and the two sides around that angle are proportional.
Check the angle that lies between the two sides you are comparing.
SSS similarity criterion
highTwo triangles are similar if all three corresponding sides are proportional.
Always compare sides in matching order before concluding SSS similarity.
Scale factor in similar triangles
mediumThe scale factor is the number by which one similar triangle is enlarged or reduced to get the other.
Decide first whether you are moving from the smaller triangle to the larger one or the other way around.
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