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Triangle Congruence by SSS and SAS

Triangle Congruence by SSS and SAS. Academic Geometry. Finding Congruent Triangles. Two triangles are congruent when they have three pairs of congruent corresponding sides and three pairs of congruent corresponding angles. Postulate 4-1 .

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Triangle Congruence by SSS and SAS

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  1. Triangle Congruence by SSS and SAS Academic Geometry

  2. Finding Congruent Triangles Two triangles are congruent when they have three pairs of congruent corresponding sides and three pairs of congruent corresponding angles.

  3. Postulate 4-1 If three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent. Triangle GHF is congruent to triangle PQR h q p g f r

  4. Using SSS Prove the triangles are congruent Statements Reasons b a c d

  5. Using SSS Given HF congruent HJ, FG congruent JK, H is the midpoint of GK Statement Reason f j g h k

  6. Postulate 4-2 If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the two triangles are congruent. Triangle BCA is congruent to Triangle FDE f b c d a e

  7. SAS Are these triangles congruent?

  8. SAS Are these triangles congruent?

  9. SAS • Are these triangles congruent?

  10. Using SAS RS congruent TK. What other information do you need to prove triangle RSK congruent triangle TKS by SAS? r s k t

  11. Using SAS What other information do you need to prove triangle ABC congruent triangle CDA by SAS? a 8 7 d 6 b 7 c

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