What are the Similarity Criteria? Exploring the Fundamentals of Shape Proportions in Geometry
For triangles, if two triangles are similar, then their corresponding angles are equal, and their corresponding sides are in proportion. Examples Practice Questions Triangle GHI has sides of lengths \(7 \text{ cm}\), \(24 \text{ cm}\), and \(25 \text{ cm}\). Triangle \(JKL\) has sides of lengths \(14 \text{ cm}\), \(48 \text{ cm}\), and \(50 \text{ cm}\). […]
How Right Triangles Demonstrate Similarity
AA (Angle-Angle) Criterion: If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. Since right triangles formed by an altitude share a common angle and both have a \(90^\circ\) angle, they’re similar by the AA criterion. The altitude is geometrically the mean between the two segments […]
