HONORS GEOMETRY 4.4. Proving Triangles Congruent (SSS, SAS)

Do Now: Prove that the polygons are congruent by identifying all the congruent corresponding parts. Then write a congruence statement

Homework Questions? Comments? Confusions? ASK ASK ASK

Well….. That was a pain! It takes so long to figure out whether every single angle and side corresponds to another angle and side. In triangles– is there an easier way?

Side-Side-Side (SSS) Congruence If three sides of one triangle are congruent to three sides of a second triangle, then the triangles are congruent.

Example One:

Example Two:

You Try!

Included Angle The angle formed by two adjacent sides of a polygon.

Included Side Is the side located between two consecutive angles in a polygon.

Example Three:

Side-Angle-Side (SAS) Congruence If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.

Example Four: Congruent? Why?

Example Four (continued) SAS or SSS?

Example Five:

You Try!

Example Six:

Example Seven:

You Try!

Practice Problems Try some problems on your own/in table groups As always call me over if you have questions!

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