VOCABULARY

The area will focus on for a couple days has to do with two parallel lines cut by a transversal (pictured below). The intersection of the lines and the transversal result in a number of types of angle pairs with certain relationships. These are;

**Alternate Interior Angles**- 3 & 6, 4 & 5 are examples, alternate interior angles are congruent**Alternate Exterior Angles**- 1 & 8, 2 & 7 are examples, alternate exterior angles are congruent**Same Side Interior Angles**- 3 & 5, 4 & 6 are examples, same side interior angles are supplementary**Adjacent Angles**(also called linear pairs) - 1 & 2, 2 & 4, 4 & 3, 3 & 1, 5 & 6, 6 & 8,8 & 7, 7 & 5 are all examples, adjacent angles (linear pairs) are supplementary**Vertical Angles**- 1 & 4, 2 & 3, 5 & 8, 6 & 7 are examples, vertical angles are congruent**Corresponding Angles**- 1 & 5, 2 & 6, 3 & 7, 4 & 8 are examples, corresponding angles are congruentBelow you will find the homework for the introduction to parallel lines and transversals.

Below are the answers to the odd numbered questions.

Coordinate Plane Geometric Proofs

TRIANGLE CONGRUENCE

Proving triangle congruence is one of the fundamental skills in Geometry. At first, we will simply look at what is meant when two triangles are congruent and the importance of being able to identify the corresponding parts of two given congruent triangles.

After we have discussed this material in class, the following worksheet will be your homework for tonight.

__SSS (Side-Side-Side) and SAS (Side-Angle-Side) Triangle Congruence__

The first two types of triangle congruence we will look at is SSS (side side side) and SAS (side angle side).

SSS congruence as stated in the postulate is; "If three sides of one triangle are congruent to three sides to another triangle, then the two triangles are congruent."

The SAS postulate states; "If two sides and the included angle of one triangle are congruent to two sides and an included angle of a second triangle, then the two triangles are congruent."

Remember, the order that you list the vertices when you are naming your triangles is very important. Make sure the correct corresponding angles are listed.

Homework is given below.

AAS, ASA, and HL Homework

Triangle Congruence Review Package