4-4 Study Guide and Intervention Proving Triangles Congruent—SSS, SAS SSS Postulate You know that two triangles are congruent if corresponding are congruent and corresponding angles are congruent. The Side-Side-Side (SSS) Postulate lets you show that two triangles are congruent if you know only that the sides of one triangle are congruent to the sides of the second triangle. If three sides of one triangle are congruent to three sides of a second triangle, then the triangles SSS Postulate are congruent. Example: Write a two-column proof. Given: is the midpoint of C ≅ Prove: △ABC ≅ △DBC Statements Reasons 1. 1. Given ≅ 2. is the midpoint of 2. Given C 3. Midpoint Theorem 3. ≅ 4. Reflexive Property of 4. ≅ ≅ 5. SSS Postulate 5. △ABC ≅ △DBC Exercises Write a two-column proof. 1. 2. Given: , , Given: , ≅ ≅ ≅ ≅ ≅ Prove: △ABC ≅ △XYZ △RST ≅ △UTS 4-4 Study Guide and Intervention (continued)
4-4 Study Guide and Intervention Proving Triangles Congruent—SSS, SAS SSS Postulate You know that two triangles are congruent if corresponding are congruent and corresponding angles are congruent. The Side-Side-Side (SSS) Postulate lets you show that two triangles are congruent if you know only that the sides of one triangle are congruent to the sides of the second triangle. SSS Postulate If three sides of one triangle are congruent to three sides of a second triangle, then the triangles are congruent. Example: Write a two-column proof. Given: ≅ C is the midpoint of Prove: △ABC ≅ △DBC Statements Reasons 1. ≅ 2. C is the midpoint of 3. ≅ 4. ≅ 5. △ABC ≅ △DBC 1. Given 2. Given 3. Midpoint Theorem 4. Reflexive Property of ≅ 5. SSS Postulate Exercises Write a two-column proof. 1. Given: ≅ , ≅ , ≅ △ABC ≅ △XYZ 2. Given: ≅ , ≅ Prove: △RST ≅ △UTS 4-4 Study Guide and Intervention (continued)
Notes%204-4.docx