1 / 14

4.3 Proving Triangles are Congruent: SSS and SAS – PART 2

4.3 Proving Triangles are Congruent: SSS and SAS – PART 2. Congruent Triangles in a Coordinate Plane. AC  FH. AB  FG. Use the SSS Congruence Postulate to show that  ABC   FGH. S OLUTION. AC = 3 and FH = 3. AB = 5 and FG = 5. Congruent Triangles in a Coordinate Plane.

kerri
Télécharger la présentation

4.3 Proving Triangles are Congruent: SSS and SAS – PART 2

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. 4.3 Proving Triangles are Congruent: SSS and SAS – PART 2

  2. Congruent Triangles in a Coordinate Plane AC FH ABFG Use the SSS Congruence Postulate to show that ABCFGH. SOLUTION AC = 3 and FH= 3 AB = 5 and FG= 5

  3. Congruent Triangles in a Coordinate Plane d = (x2 – x1 )2+ (y2 – y1 )2 d = (x2 – x1 )2+ (y2 – y1 )2 BC = (–4 – (–7))2+ (5– 0)2 GH = (6 – 1)2+ (5– 2)2 = 32+ 52 = 52+ 32 = 34 = 34 Use the distance formula to find lengths BC and GH.

  4. Congruent Triangles in a Coordinate Plane BCGH BC = 34 and GH= 34 All three pairs of corresponding sides are congruent, ABCFGH by the SSS Congruence Postulate.

  5. Congruent Triangles in a Coordinate Plane MN DE PMFE Use the SSS Congruence Postulate to show that NMPDEF. SOLUTION MN = 4 and DE= 4 PM = 5 and FE= 5

  6. Congruent Triangles in a Coordinate Plane d = (x2 – x1 )2+ (y2 – y1 )2 d = (x2 – x1 )2+ (y2 – y1 )2 PN = (–1 – (– 5))2+ (6– 1)2 FD = (2 – 6)2+ (6– 1)2 = 42+ 52 = (-4)2+ 52 = 41 = 41 Use the distance formula to find lengths PN and FD.

  7. Congruent Triangles in a Coordinate Plane PNFD PN = 41 and FD= 41 All three pairs of corresponding sides are congruent, NMPDEF by the SSS Congruence Postulate.

  8. SAS  postulate SSS  postulate

  9. T C S G The vertex of the included angle is the point in common. SSS  postulate SAS  postulate

  10. SSS  postulate Not enough info

  11. SSS  postulate SAS  postulate

  12. Not Enough Info SAS  postulate

  13. SSS  postulate Not Enough Info

  14. SAS  postulate SAS  postulate

More Related