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Prove Triangles Similar by AA 6.4

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Another Postulate All you need are any 2 congruent angles for 2 triangles to be congruent

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Why only 2 angles? We know that the sum of the interior angles has to be 180. Therefore, the third angle also has to be congruent.

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Are the 2 triangles similar? Why or why not? yes

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yes

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yes

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Are the 2 triangles similar? Why or why not? no

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Are the 2 triangles similar? Why or why not? no

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Are the 2 triangles similar? Why or why not? yes

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no

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Are the 2 triangles similar? Why or why not? yes

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Are the 2 triangles similar? Why or why not? Can’t tell

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Are the 2 triangles similar? Why or why not? Yes

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Are the 2 triangles similar? Why or why not? Yes

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Are the 2 triangles similar? Why or why not? Can’t tell

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yes

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Are the 2 triangles similar? Why or why not? yes

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Are the 2 triangles similar? Why or why not? yes

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Find the length of x, then find BD

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Proportion Word Problems

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Molly wants to know the height of the flagpole in front of the town hall. She sees that it casts a shadow 24 ft long. She drives a stake into the ground beside the flagpole. The stake is 4 ft high with a shadow 2 feet long. How tall is the flagpole?

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The scale on a map says that 1 inch equals 150 miles. How many miles apart are two cities if you measure 4 ½ inches between them?

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Determine the missing side of the triangle. 3 4 5 12 9 ? 15.

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