AAA Investigation
What are you able to move in the diagram? What can't be moved?
What is the same about the two triangles? What is different?
Check the box to show the lengths of the sides of the two triangles.
Find the ratio of DF to AC. In other words, divide DF by AC. What do you get?
Find the ratio of DE to AB. What do you get?
Find the ratio of EF to BC. What do you get?
What pattern do you notice about the ratios that you calculated?
Now change the length of DF. If you want, you can also change the side lengths and/or the angles in Triangle ABC.
Recalculate the ratio of DF to AC. What do you get?
Recalculate the ratio of DE to AB. What do you get?
Recalculate the ratio of EF to BC. What do you get?
If two triangles have all three corresponding angles the same (AAA), what is true about the lengths of their corresponding sides?