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Unit 4.2 Notes

Unit 4.2 Notes. Triangle Congruence by SSS and SAS. Reminder:. 3. 3. 2. 1. 1. 2. B y T heorem 4.1, we had to have three sets of congruent sides and three sets of congruent angles in order to prove two triangles are congruent.

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Unit 4.2 Notes

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  1. Unit 4.2 Notes Triangle Congruence by SSS and SAS

  2. Reminder: 3 3 2 1 1 2 By Theorem 4.1, we had to have three sets of congruent sides and three sets of congruent angles in order to prove two triangles are congruent. By Theorem 4.1, we had to have three sets of congruent sides and three sets of congruent angles in order to prove two triangles are congruent. • By Theorem 4.1, we had to have three sets of congruent sidesand three sets of congruent angles in order to prove two triangles are congruent.

  3. But in this section: We will be able to prove triangles are congruent without all the sides and angles.

  4. Side-Side-Side (SSS) Postulate- If the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent. In fact, we can prove two triangles are congruent by looking at just the sides alone.ABC  XYZ

  5. Side-Angle-Side (SAS) Postulate- If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. We can also conclude two triangles are congruent if they have two congruent sides and one congruent angle between the sides.LNM  HJK

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