Chapter 12.6, Problem 1E

To determine

To find: The similarity and difference between the $AAS$ congruence theorem and $ASA$ congruence theorem.

Answer to Problem 1E

The required answer is shown below.

Explanation of Solution

Given information:

The criteria of $AAS$ and $ASA$ .

Here,

  $AAS$ stands for angle −angle- side and $ASA$ stands for angle- side- angle.

The similarity between these two are that both $AAS$ and $ASA$ are used to prove the congruence theorem of triangles.

The difference between $ASA$ refers to any two angles and one included side, $AAS$ refers to two corresponding angles and non-included side. The sides in both $ASA$ and $AAS$ must be congruent.

Therefore, the result is shown above.