Prove Triangles Similar by AA 6.4. Another Postulate All you need are any 2 congruent angles for 2 triangles to be congruent.

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Presentation transcript:

Prove Triangles Similar by AA 6.4

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

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.

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

yes

yes

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

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

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

no

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

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

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

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

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

yes

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

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

Find the length of x, then find BD

Proportion Word Problems

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?

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?