3Essential QuestionHow does learning the congruency postulates help me prove that two triangle are congruent?
4ClosingSee nature by numbers video:http://www.youtube.com/watch?v=kkGeOWYOFoAHomework Assignment #1 – You saw the video, Nature by Numbers. Submit a picture of something from nature and point out one or several geometric shapes similarly to what you saw in the video. Due: Thursday in class.
7The Idea of a Congruence Two geometric figures with exactly the same size and shape.ACBDEF
8How much do youneed to know. . .. . . about two trianglesto prove that theyare congruent?
9Corresponding PartsYou learned that if all six pairs of corresponding parts (sides and angles) are congruent, then the triangles are congruent.BACAB DEBC EFAC DF A D B E C FABC DEFEDF
33Before we start…let’s get a few things straight CXZYINCLUDED SIDE
34Angle-Side-Angle (ASA) Congruence Postulate Two angles and the INCLUDED side
35Angle-Angle-Side (AAS) Congruence Postulate Two Angles and One Side that is NOT included
36Your Only Ways To Prove Triangles Are Congruent SSSSASASAAASYour Only Ways To Prove Triangles Are Congruent
37Alt Int Angles are congruent given parallel lines Things you can mark on a triangle when they aren’t marked.Overlapping sides are congruent in each triangle by the REFLEXIVE propertyAlt Int Angles are congruent given parallel linesVertical Angles are congruent