Warm Up Over Lesson 7– 2 Determine whether the triangles are similar.
Take Note Angle-Angle (AA) Similarity • Description: If two angles of one triangle are congruent two angles of another triangle, then the triangles are similar. • Diagram:
For Example Use the AA Similarity Postulate A. Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning. Answer: ΔABC ~ ΔEDF by the AA Similarity.
You Try A. Determine whether the triangles are similar. If so, write a similarity statement. A. Yes; ΔABC ~ ΔFGH B. Yes; ΔABC ~ ΔGFH C. Yes; ΔABC ~ ΔHFG D. No; the triangles are not similar.
Take Note Side-Side (SSS) Similarity • Description: If the matching sides lengths of two triangles are proportional, then they are similar. • Diagram: • Example:
Take Note Side-Angle-Side (SAS) Similarity • Description: If the lengths of two sides are proportional two another triangle and its included angle is congruent, then they are similar. • Diagram: • Example:
For Example A. Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning. Answer: ΔABC ~ ΔDEC by the SSS or SAS
For Example B. Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning. Answer: ΔMNP ~ ΔMRS by SAS
You Try A. Determine whether the triangles are similar. If so, write a correct similarity statement to match the given data.
You Try B. Determine whether the triangles are similar. If so, write a similarity statement to match the given data. Wrap Up