Mrs. Neubert

This unit will teach included angles and sides, SAS, ASA, AAS, and HL congruency.

First, you must understand what an included angle is. An **included angle** is __an angle that is between two sides of a triangle.__ It likes to have friends and feel included; the sides are its friends, and the angle is between them. An

Now, __two triangles can be shown to be congruent if two sides and the included angle between them are the same size.__ This is called** SAS** congruence.

A right triangle has a right angle at one vertex. __The side opposite the right angle is called the__ **Hypotenuse. **__The remaining two sides__ are called **Legs**.

Two right triangles can be shown to be congruent by showing the __the lengths of the hypotenuses are the same, and that the length of one of each of the remaining legs are congruent. __ This is called **HL** congruency.

Try the following worksheet to work on these concepts. Click on the link below, select chapter 4, and then lesson 4.4:

Now, *ASA *is another way to show two triangles congruent. It requires that

**AAS** uses the requirement that

Try this quiz to practice mastering these concepts. Click on the link below and do chapter 4, lesson 4.5 and see how you do:

Now, here is another type of quiz for you to check your mastery of these concepts:

Congruent Triangles; Recognizing

The following activity will give you the chance to create congruent triangles yourself. Try creating one of each type (SAS, ASA, AAS, HL) in the following link:

Congruent Triangles Construction Using SSS, SAS, ASA

Proofs using these concepts always show if you have mastered the material. This link will give you tips on completing proofs:

SSS, SAS, ASA Congruent Triangles in Proofs TIPS

You will need to complete 3 proofs on paper to turn into the teacher for credit Choose from the following proofs with some help from the link below:

SSS, SAS, ASA, HL Congruent Triangles Proofs

One last word of advice. There is no such thing as **SSA **congruence. (This is no joke!) Spelled backwards, this is not only a dirty word, but it does not show congruence between two triangles!

All done! Congratulations! Good luck on the test!