11 terms

Chapter 7 - Similarity

A statement that two ratios are equal.
Similarity Ratio
The ratio of the lengths of two corresponding sides.
Cross-Product Property
The product of the means is equal to the product of the extremes.
Golden Rectangle
A rectangle that can be divided into a square and a rectangle that is similar to the original triangle.
Corresponding angles are congruent and corresponding sides are in proportion.
Golden Ratio
AA Similarity
Two triangles are similar if two pairs of corresponding angles are congruent.
SAS Similarity
Two triangles are similar if an angle of one triangle is congruent to an angle of a second triangle, and the sides including those angles are in proportion.
SSS Similarity
Two triangles are similar if the corresponding sides of two triangles are in proporiton.
Side-Splitter Theorem
If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally.