AA Similarity (Postulate 22)- two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
Example of use in a proof (us the diagram on the right for the given and what needs to be proven)
Example: shown above
test question: 1) The AA Similarity Postulate
The AA (angle angle) similarity postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
Example of use in a proof (us the diagram below for the given and what needs to be proven)
Prove triangle ABC is similar to triangle DEC
test question 2)What can you conclued about two triangles if you know two pairs of corresponding angles are congruent?
Step 1) (picture shown below) Draw a triangle EFG so that m<E = 40; m<G = 50
Step 2) Draw triangle RST so that m<R = 40; m<T = 50; and RST is NOT congruent to EFG
Step 3) calculate m<F and m<S using the triangle sum theorem, use a protractor to check that your results are true.
Step 4) measure and record the side length of both triangles use a meteric ruler.
Step 1) (picture shown below) Draw a triangle EFG so that m<E = 40; m<G = 50
Step 2) Draw triangle RST so that m<R = 40; m<T = 50; and RST is NOT congruent to EFG
Step 3) calculate m<F and m<S using the triangle sum theorem, use a protractor to check that your results are true.
Step 4) measure and record the side length of both triangles use a meteric ruler.