ASH Geometry Similarity
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8 terms
Terms | Definitions |
|---|---|
Two polygons are similar if.... | the corresponding sides are in proportion and the corresponding angles are congruent. |
AA similarity | If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. |
SSS similarity | If the three sides of one triangle are proportional to the three sides of another triangle, then the two triangles are similar. |
SAS similarity | If two sides of one triangle are proportional to two sides of another triangle and the included angles is congruent then the triangles are similar. |
Proportional parts conjecture | If two triangles are similar then the corresponding altitudes, medians and angle bisectors are proportional to the corresponding sides. |
Opposite sides conjecture | A bisector of an angle in a triangle divides the opposite side into two segments whose lengths are in the same ratio as the lengths of the two sides forming the angle. |
If two polygons are similar then their areas have ratio.... | (m/n)^2 |
If two polygons are similar then their volumes have ratio... | (m/n)^3 |
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