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4-3: Congruency Postulates Continued

4-3: Congruency Postulates Continued. What congruency postulates do we know so far?. Angle-Side-Angle (ASA) Postulate. If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. H. Q. R. F.

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4-3: Congruency Postulates Continued

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  1. 4-3: Congruency Postulates Continued

  2. What congruency postulates do we know so far?

  3. Angle-Side-Angle (ASA) Postulate If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. H Q R F P G

  4. ~ ~ ~ Given: HF = HJ, ‹F = ‹J, ‹FHG = ‹JHK. ~ Can you say that ∆FGH = ∆JKH? J F Yes, they are congruent by ASA. K G H

  5. Angle-Angle-Side (AAS) Theorem If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent. H Q R F P G

  6. ~ Given: RE = CA, ‹D = ‹T, ‹R = ‹C ~ ~ ~ R E C A Prove: ∆RED = ∆CAT T D If 2 angles of 1 triangle are congruent to 2 angles of another triangle, then the 3rd angles are congruent. ~ ∆RED = ∆CAT by ASA.

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