1 / 24

Side -Side-Side (SSS ) Congruent Postulate

G.CO.8 Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.

gyan
Download Presentation

Side -Side-Side (SSS ) Congruent Postulate

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. G.CO.8 Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions. Objective: Students will investigate the Side-Side-Side (SSS) and Side-Angle-Side (SAS) Triangle Congruence Theorems to prove that two triangles are congruent and draw conclusions about the angle measures of the triangles

  2. Side-Side-Side (SSS) Congruent Postulate If 3 sides of one Triangle (Δ)are congruent ()to 3 sides of another triangle (Δ), then the triangles (Δs) are congruent ().

  3. A Meaning: ___ ___ ___ If AB ED, AC EF & BC DF, then ΔABC ΔEDF. ___ B C ___ ___ E ___ ___ ___ ___ ___ ___ D F

  4. Write the congruence statements for the two triangles then decide if the triangles are congruent.

  5. Ex 2: Write the congruence statements then decide if the two triangles are congruent.SSS U Q 10 10 R S T

  6. Ex 3: Write the congruence statements and then decide if the triangles are congruent SSS Y A X Z

  7. You try (whiteboards)Write the congruence statements and then decide if the triangles are congruentSSS A Y X Z B C

  8. You try (whiteboards)Write the congruence statements and then decide if the triangles are congruentSSS Y A X Z

  9. Side-Angle-Side (SAS) If 2 sides and the included angle ()of one Δ are  to 2 sides and the included angle ()of another Δ, then the 2 Δs are .

  10. Meaning: If BC YX, ACZX, and CX, then ΔABC  ΔZXY. Y B ) ( C A X Z

  11. Ex 1:Write the congruence statements and decide if the triangles are congruent. SAS W Z X Y V

  12. Write the congruent statements for the two triangles then decide if the triangles are congruent. Yes SAS

  13. Example 3: Given: DE≅EB, CE ≅ EA (Mark the congruent sides) Decide if the triangles are congruent. YES SAS B A C E D

  14. You try: Whiteboards Write the congruence statements and decide if the triangles are congruent.

  15. theorem you would use

  16. Write the congruence statements and decide if the triangles are congruent. SSS S Q R T

  17. Write the congruence statements and decide if the triangles are congruent. SAS D A G R

  18. Given: SD≅TC, CS≅DT Prove: ΔCST ≅ ΔDTS SSS ST =ST reflexive property D C K S T

  19. Ex. 2: • Given: A is the midpoint of MT, A is the midpoint of SR. • Prove the triangles are congruent MA = AT def of midpoint SA = RA <A =<A Vertical angles

  20. ASA QR = RS def of midpoint

More Related