Check the selectbox that says Show / hide AAA. Triangles ABC and DEF have three sets of congruent angles. You can use sliders to adjust two of the angles. Use points B and E to adjust the triangles themselves.
1. Are ABC and DEF always congruent?
2. Is AAA a way to prove that triangles are congruent? Why or why not?
3. Make AB = 3 and DE = 6. Is there a relationship between the other sides as well?
Uncheck the selectbox that says Show / hide AAA. Check the selectbox that says Show / hide AAS. Triangles GHI and MNO have two congruent angle pairs (I and N; H and O) and one congruent side (GH and MN). You can use sliders to adjust two of the angles. Use points G and M to drag the triangles and points H and O to rotate them.
1. Are GHI and MNO always congruent?
2. Is AAS a way to prove that triangles are congruent? Why or why not?
3. Look at where GHI and MNO are on your screen. How can you make them merge? How would you describe this movement in terms of transformations?