Similarity & Congruence

Identify congruent and similar shapes, and use scale factors to find missing lengths, areas, and volumes.

Area and Volume Scale Factors

Scale area by the square of the linear factor and volume by its cube — a critical idea for similarity problems at higher grades.

Proving Triangles Are Similar

Show that two triangles are similar by proving equal angles (AA) or proportional sides, with clear geometric reasoning.

Similar Shapes and Scale Factors

Identify similar shapes and use linear scale factors to find missing lengths in similar triangles and other shapes.