Prove Triangles Similar by AA
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Transcript of Prove Triangles Similar by AA
Prove Triangles Similar by AA
6.4
Another Postulate
All you need are any 2 congruent angles for 2 triangles to be similar.
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
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?
no
Are the 2 triangles similar? Why or why not?
no
Are the 2 triangles similar? Why or why not?
yes
Are the 2 triangles similar? Why or why not?
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
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?
yes
Find the length of x, then find BD
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?