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Obj: SWBAT prove triangles ~ (G.7/7.2) WU: wks day 35: Review questions (1-16) *hw/hw log/storybook: “Similar Triangles” Copy into your SOL Binder (day 35) Answer: DBE and any other triangle choice Copy into your SOL Binder (day 35) Answer: 3rd answer 4th answer Definition of congruence Division property of equality SAS Similarity AA Similarity postulate: Angles If two _________ of one triangle are congruent to Angles of another triangle, then the triangles two _______ are similar. SSS Similarity Thm: Sides If the measures of the corresponding _______ of two triangles are proportional, then the triangles are similar. SAS Similarity Thm: Sides If the measures of two __________of a triangle are proportional to the measures of two corresponding sides of another triangle and the Congruent included angles are _________, then the two triangles are similar. 1. To estimate the height of a tree, a Girl Scout sights the top of the tree in a mirror that is 34.5 meters from the tree. The mirror is on the ground and faces upward. The scout is 0.75 meters from the mirror, and the distance from her eyes to the ground is about 1.75 meters. How tall is the tree? 2. Are the triangles similar? If so, justify. Now, classify the first triangle according to the angles. 3. Justify if the two triangles are similar. If so, find x. 4 9 2 x 4. Find: AE, DE & AD Given : AB CD A C 8 3x + 4 E 4 x + 12 B D 3 6