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Do Now

4.6: Prove Triangles Congruent by ASA and AAS Geometry 4.6: Prove Triangles Congruent by ASA and AAS

Postulate 21: Angle-Side-Angle (ASA) If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent. Example: because of ASA. P L Q R M N

Theorem 4.6: Angle-Angle-Side (AAS) If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of a second triangle, then the two triangles are congruent. Example: because of AAS. P L Q R M N

Triangles are congruent when you have… SSS AAS SAS ASA HL

Triangles are not congruent when you have… ASS AAA

Review from old chapters Bisector: Cuts the segment or angle into two congruent pieces. Midpoint of a segment: Cuts the segment into two congruent pieces. Perpendicular lines: Two lines that intersect at a right angle (90 degrees). Vertical angles: Angles “across” from each other- they are congruent to each other.

Are the triangles congruent, if yes write a congruence statement and explain using SSS, SAS, ASA, AAS, HL . 1.) B D C is the midpoint of AE A C E

Are the triangles congruent, if yes write a congruence statement and explain using SSS, SAS, ASA, AAS, HL . 2.) P Q R S

Are the triangles congruent, if yes write a congruence statement and explain using SSS, SAS, ASA, AAS, HL . 3.) I K T E

Examples

Complete the Proof

Flow Proof Uses arrows to show the flow of a logical argument. Each reason is written below the statement it justifies.

Write a Flow Proof

Homework Textbook page 250-251 #4-20 evens