Chapter 7 - Similarity

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Fraction

Proportion

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.

Similar

Corresponding angles are congruent and corresponding sides are in proportion.

1.618:1

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.

Example: