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Prove Triangles Similar by AA 6.4

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Page 1: Prove Triangles Similar by AA 6.4. Another Postulate All you need are any 2 congruent angles for 2 triangles to be congruent

Prove Triangles Similar by AA

6.4

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

Another Postulate

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

Page 3: 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.

Page 4: Prove Triangles Similar by AA 6.4. Another Postulate All you need are any 2 congruent angles for 2 triangles to be congruent

Are the 2 triangles similar? Why or why not?

yes

Page 5: Prove Triangles Similar by AA 6.4. Another Postulate All you need are any 2 congruent angles for 2 triangles to be congruent

Are the 2 triangles similar? Why or why not?

yes

Page 6: Prove Triangles Similar by AA 6.4. Another Postulate All you need are any 2 congruent angles for 2 triangles to be congruent

Are the 2 triangles similar? Why or why not?

yes

Page 7: Prove Triangles Similar by AA 6.4. Another Postulate All you need are any 2 congruent angles for 2 triangles to be congruent

Are the 2 triangles similar? Why or why not?

no

Page 8: Prove Triangles Similar by AA 6.4. Another Postulate All you need are any 2 congruent angles for 2 triangles to be congruent

Are the 2 triangles similar? Why or why not?

no

Page 9: Prove Triangles Similar by AA 6.4. Another Postulate All you need are any 2 congruent angles for 2 triangles to be congruent

Are the 2 triangles similar? Why or why not?

yes

Page 10: Prove Triangles Similar by AA 6.4. Another Postulate All you need are any 2 congruent angles for 2 triangles to be congruent

Are the 2 triangles similar? Why or why not?

no

Page 11: Prove Triangles Similar by AA 6.4. Another Postulate All you need are any 2 congruent angles for 2 triangles to be congruent

Are the 2 triangles similar? Why or why not?

yes

Page 12: Prove Triangles Similar by AA 6.4. Another Postulate All you need are any 2 congruent angles for 2 triangles to be congruent

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

Page 13: Prove Triangles Similar by AA 6.4. Another Postulate All you need are any 2 congruent angles for 2 triangles to be congruent

Are the 2 triangles similar? Why or why not?

Yes

Page 14: Prove Triangles Similar by AA 6.4. Another Postulate All you need are any 2 congruent angles for 2 triangles to be congruent

Are the 2 triangles similar? Why or why not?

Yes

Page 15: Prove Triangles Similar by AA 6.4. Another Postulate All you need are any 2 congruent angles for 2 triangles to be congruent

Are the 2 triangles similar? Why or why not?

Can’t tell

Page 16: Prove Triangles Similar by AA 6.4. Another Postulate All you need are any 2 congruent angles for 2 triangles to be congruent

Are the 2 triangles similar? Why or why not?

yes

Page 17: Prove Triangles Similar by AA 6.4. Another Postulate All you need are any 2 congruent angles for 2 triangles to be congruent

Are the 2 triangles similar? Why or why not?

yes

Page 18: Prove Triangles Similar by AA 6.4. Another Postulate All you need are any 2 congruent angles for 2 triangles to be congruent

Are the 2 triangles similar? Why or why not?

yes

Page 19: Prove Triangles Similar by AA 6.4. Another Postulate All you need are any 2 congruent angles for 2 triangles to be congruent

Find the length of x, then find BD

Page 20: Prove Triangles Similar by AA 6.4. Another Postulate All you need are any 2 congruent angles for 2 triangles to be congruent

Find the length of x, then find BD

Page 21: Prove Triangles Similar by AA 6.4. Another Postulate All you need are any 2 congruent angles for 2 triangles to be congruent

Page 22: Prove Triangles Similar by AA 6.4. Another Postulate All you need are any 2 congruent angles for 2 triangles to be congruent

Proportion Word Problems

Page 23: Prove Triangles Similar by AA 6.4. Another Postulate All you need are any 2 congruent angles for 2 triangles to be congruent

• 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?

Page 24: 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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