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Do Now

Do Now. 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.

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Do Now

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  1. Do Now

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

  3. 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

  4. 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

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

  6. Triangles are not congruent when you have… ASS AAA

  7. 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.

  8. 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

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

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

  11. Examples

  12. Complete the Proof

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

  14. Write a Flow Proof

  15. Homework • Textbook page 250-251 • #4-20 evens

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