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Before we start…let’s get a few things straight INCLUDED SIDE AB C XZ Y.

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Presentation on theme: "Before we start…let’s get a few things straight INCLUDED SIDE AB C XZ Y."— Presentation transcript:

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2 Before we start…let’s get a few things straight INCLUDED SIDE AB C XZ Y

3 Angle-Side-Angle (ASA) Congruence Postulate Two angles and the INCLUDED side

4 Angle-Angle-Side (AAS) Congruence Postulate Two Angles and One Side that is NOT included

5 Your Only Ways To Prove Triangles Are Congruent NO BAD WORDS

6 Overlapping sides are congruent in each triangle by the REFLEXIVE property Vertical Angles are congruent Alt Int Angles are congruent given parallel lines Things you can mark on a triangle when they aren’t marked.

7 Ex 2 What other pair of angles needs to be marked so that the two triangles are congruent by AAS? F D E M L N

8 Ex 3 What other pair of angles needs to be marked so that the two triangles are congruent by ASA? F D E M L N

9 Not congruent. Not enough Information to Tell R T S B A C Determine if whether the triangles are congruent. If they are, write a congruency statement explaining why they are congruent. Ex 3

10 Determine if whether the triangles are congruent. If they are, write a congruency statement explaining why they are congruent. Ex 4 R P S Q ΔPQS  ΔPRS by SAS

11 Determine if whether each pair of triangles is congruent by SSS, SAS, ASA, or AAS. If it is not possible to prove that they are congruent, write not possible. ΔGIH  ΔJIK by AAS G I H J K Ex 4

12 ΔABC  ΔEDC by ASA BA C ED Ex 5 Determine if whether each pair of triangles is congruent by SSS, SAS, ASA, or AAS. If it is not possible to prove that they are congruent, write not possible.

13 ΔACB  ΔECD by SAS B A C E D Ex 6 Determine if whether each pair of triangles is congruent by SSS, SAS, ASA, or AAS. If it is not possible to prove that they are congruent, write not possible.

14 ΔJMK  ΔLKM by SAS or ASA JK L M Ex 7 Determine if whether each pair of triangles is congruent by SSS, SAS, ASA, or AAS. If it is not possible to prove that they are congruent, write not possible.

15 Not possible K J L T U Ex 8 Determine if whether each pair of triangles is congruent by SSS, SAS, ASA, or AAS. If it is not possible to prove that they are congruent, write not possible. V


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