Lesson 11.7 - Comparing Areas of Similar Figures

Flashcards based on Lesson 11.7 focusing on the key concepts related to comparing areas of similar figures.

Ratio of Areas

The comparison of the area of one figure to the area of another, expressed as a fraction.

Similar Figures

Figures that have the same shape with corresponding angles that are congruent and corresponding sides that are in proportion.

Area of a Triangle

Calculated using the formula A = 1/2 * base * height.

Angle-Angle Similarity

A principle stating that if two triangles have two pairs of corresponding angles that are congruent, then the triangles are similar.

Theorem of Areas for Similar Figures

If two figures are similar, then the ratio of their areas is equal to the square of the ratio of their corresponding sides.

Proportional Parts

In similar figures, all corresponding lengths (sides, bases, heights) maintain the same ratio.

Base of a Triangle

One side of a triangle used to calculate its area in conjunction with its height.

Height of a Triangle

The perpendicular distance from the base of the triangle to the opposite vertex.

Simplifying Ratios

The process of reducing a ratio to its simplest form.

Side Ratio Squared

The principle that the ratio of the areas of two similar figures equals the ratio of their corresponding sides squared.