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GEOMETRY NOTES Lesson 6.4 Prove Triangles Similar by AA Review for the Lesson Rode2011 5 I The two figures are similar. 1) Write a similarity statement. Q F 7 T 3.6 7.1 5 10 H 6 S G 2) Find the scale factor. R Lesson 6.4 Objectives: Students will be able to (SWBAT): • use the AA similarity postulate to prove triangles similar Postulate 22 - Angle-Angle (AA) Similarity Postulate If angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. B B E ∆ABC~∆DEF D F A A 34 o 56 o C C 1) Show the two triangles above are similar and write a similarity statement. Using the AA Similarity Postulate Example 1 Determine if the two triangles are similar. If they are, write a similarity statement. Explain your reasoning. K ANGLE: ∠TSR ≅ ∠KNP Since they are both right angles ݉∠TRS = 90 − 27 = 63o or ݉∠TRS = 180 − 90 − 27 = 63o 63 o P N T 27 ANGLE: ∠TRS ≅ ∠NKP Since they both measure 63o. R o S Therefore similar due to AA Similarity Postulate Similarity Statement: ∆RST ~∆KNP Page 1 D 2) Show the two triangles are similar and write a similarity statement. Example 2 Show that the two triangles are similar. A 1 50 E B 50 D 2 o o C Example 3 Show that the two triangles are similar. P C R Q B Self – Assessment In the table below give the objectives for the lesson and then list what we did to meet the objective. Finally, rate your understanding of the material (Excellent, Very good, Good, Poor) and what you specifically need to do next. Objective What did we do that addressed that objective? Rate your understanding of the material and your next steps. Page 2