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Published byAlberta Gilmore Modified over 6 years ago

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3.4c: Identifying Similar Triangles p. 354-361

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AA Similarity If 2 angles in 1 triangle are congruent to 2 angles in a 2 nd triangle, then the 2 triangles are similar. 50 60 70 A G F R PB 60 50 What do we know?

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Are the triangles Similar? If not, why? If so, why? Write a similarity statement.

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SSS similarity If all 3 ratios of the corresponding sides are equal, then the triangles are similar If the ratios are equal, the corresponding sides are proportional Are the Triangles similar? If not, why not? If so, why? Write a similarity Statement.

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SAS similarity If 2 sides of the 1 st triangle are proportional to 2 sides of a 2 nd triangle and the included angles in both triangles are congruent, then the two triangles are similar. Are the Triangles similar? If not, why not? If so, why? Write a similarity Statement.

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examples

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10 Hint: when Triangles are overlapping, separate them by re- drawing it

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NECAP Released Item

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Ex. Triangle ABC with A(1,1) B(1,7) C(5,1) and Triangle DEF with D(1,-1) E(3,-1) and F (3,-4). Are the Triangles similar? If not, why not? If so, why? Write a similarity Statement.

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homework

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