Lesson: Triangle Similarity Criteria and Their Applications Mathematics

Students will be able to

• determine similarity using the angle–angle (AA) criterion; that is, if two corresponding angles have equal measures, the triangles are similar,
• determine similarity using the side-side-side (SSS) criterion; that is, if corresponding sides are in proportion, the triangles are similar,
• determine similarity using the side-angle-side (SAS) criterion; that is, if two corresponding sides are in proportion and the included angles have equal measure, the triangles are similar,
• use similarity to calculate unknown angle measures, scale factors, unknown lengths, and perimeters,
• use the similarity of two triangles to form and solve linear equations,
• use the similarity of two triangles to find indirect measurements in real-life situations.