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Proving Triangles Congruent

Proving Triangles Congruent. jc-schools.net/ PPT / geometry congruence. ppt. F. B. A. C. E. D. The Idea of a Congruence. Two geometric figures with exactly the same size and shape. jc-schools.net/ PPT / geometry congruence. ppt. How much do you need to know. . .

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Proving Triangles Congruent

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  1. Proving Triangles Congruent jc-schools.net/PPT/geometrycongruence.ppt

  2. F B A C E D The Idea of a Congruence Two geometric figures with exactly the same size and shape. jc-schools.net/PPT/geometrycongruence.ppt

  3. How much do you need to know. . . . . . about two triangles to prove that they are congruent? jc-schools.net/PPT/geometrycongruence.ppt

  4. Reflexive Property of Congruence • A segment is congruent to itself. • An angle is congruent to itself.

  5. Side-Side-Side (SSS) Postulate 8-1: If three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

  6. Side-Side-Side (SSS) E B F A D C • AB DE • BC EF • AC DF ABC DEF jc-schools.net/PPT/geometrycongruence.ppt

  7. Side-Angle-Side (SAS) Postulate 8-2: 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.

  8. Side-Angle-Side (SAS) B E F A C D • AB DE • A D • AC DF ABC DEF included angle jc-schools.net/PPT/geometrycongruence.ppt

  9. Included Angle The angle between two sides H G I jc-schools.net/PPT/geometrycongruence.ppt

  10. E Y S Included Angle Name the included angle: YE and ES ES and YS YS and YE E S Y jc-schools.net/PPT/geometrycongruence.ppt

  11. Included Side The side between two angles GI GH HI jc-schools.net/PPT/geometrycongruence.ppt

  12. E Y S Included Side Name the included side: Y and E E and S S and Y YE ES SY jc-schools.net/PPT/geometrycongruence.ppt

  13. How are the triangles congruent? Vertical Angles Reflexive Property SAS SAS Vertical Angles SAS jc-schools.net/PPT/geometrycongruence.ppt

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