1. Warm Up Yes, the triangles are congruent by the SAS postulate Hint: separate the triangles A B E B D C Notice that “part “of  B in each triangle is actually  DBE, so  B in the red and blue triangles are . OBJECTIVE: Given two triangles, students will determine whether or not the triangles are congruent using the Angle- Side-Angle postulate or Angle-Angle-Side Theorem.

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3.  4.5 Prove Triangles Congruent by AAS and ASA.  Given two triangles, students will determine whether or not the triangles are congruent using the Angle-Side- Angle postulate or Angle-Angle-Side Theorem  Mastery is 80% or better on 5-min check and Indy work.  Quiz tomorrow 4.3-4.5

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5. Hint: Write a congruence statement first ABC Congruent to DCB 5x = 3x+10 2x = 10 x = 5 Now check your answers to make sure the corresponding sides are in fact congruent when x = 5.

6.  Given two triangles, students will determine whether or not the triangles are congruent using the Angle-Side-Angle postulate or Angle- Angle-Side Theorem.  Why? So you can find congruent triangles in bikes, as seen in examples 23 & 24.  Mastery is 80% or better on 5-Minute checks and Practice Problems.

7. The side of a triangle that falls between two given angles is called the ___________ of the angles. included side It is the one side common to both angles. A B C AC is the included side of  A and  C CB is the included side of  C and  B AB is the included side of  A and  B You can show that two triangles are congruent by using _________ and the ___________ of the triangles. two angles included side

8. R S T A B C Postulate 21 ASA Postulate If _________ and the ___________ of one triangle are congruent to the corresponding angles and included side of another triangle, then the triangles are congruent. two angles included side If  A   R and AC  RT and then ΔABC  ΔRST  C  TT

9. A B C You can show that two triangles are congruent by using _________ and a ______________. two angles nonincluded side CA and CB are the nonincluded sides of  A and  B

10. R S T A B C Theorem 4-6 AAS Theorem If _________ and a ______________ of one triangle are congruent to the corresponding two angles and nonincluded side of another triangle, then the triangles are congruent. two angles nonincluded side If  A   R and CB  TS then ΔABC  ΔRST  C   T and

11. D F E L M N ΔDEF and ΔLNM have one pair of sides and one pair of angles marked to show congruence. What other pair of angles must be marked so that the two triangles are congruent by AAS? However, AAS requires the nonincluded sides. Therefore,  D and  L must be marked. If  F and  M are marked congruent, then FE and MN would be included sides.

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13.  Given two triangles, students will determine whether or not the triangles are congruent using the Angle-Side-Angle postulate or Angle- Angle-Side Theorem.  Why? So you can find congruent triangles in bikes, as seen in examples 23 & 24.  Mastery is 80% or better on 5-Minute checks and Practice Problems.

14.  In your own words explain to me what you have learned in lessons 4.1-4.5.  What areas do you feel like you need more help with?  What areas do you feel confident about?  How is the pace of the class for you? Too fast? Too slow? Do you have any suggestions that would help?

15.  Page 252-253  # 3-21 all  Quiz 4.3-4.5 tomorrow!!!