CFA: Similar Figures & Indirect Measure

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Triangles are similar by SSS (Side-Side-Side) if the lengths of their corresponding sides are in proportion.

Triangles are similar by SAS (Side-Angle-Side) if two sides of one triangle are proportional to two sides of another triangle, and the included angles are equal.

In similar polygons, corresponding sides are proportional.

In similar polygons, corresponding angles are congruent.

The scale factor is the ratio of the lengths of corresponding sides of two similar figures.

You can determine if two triangles are similar by checking if they satisfy the SSS, SAS, or AA (Angle-Angle) criteria.

The area of a rectangle is calculated by multiplying its length by its width (Area = length × width).

The area of the gymnasium is 96 feet × 76 feet = 7296 square feet.

To find the area of a scaled-down blueprint, first determine the scale factor, then apply the formula: Area on blueprint = (Scale Factor)² × Actual Area.