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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 on theme: "Prove Triangles Similar by AA 6.4. Another Postulate All you need are any 2 congruent angles for 2 triangles to be congruent."— Presentation transcript:

1 Prove Triangles Similar by AA 6.4

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

3 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.

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

5 yes

6 yes

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

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

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

10 no

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

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

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

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

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

16 yes

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

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

19 Find the length of x, then find BD

20

21

22 Proportion Word Problems

23 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?

24 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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