1 / 18

Warm Up 12/5/12 State the 6 congruent parts of the triangles below.

Warm Up 12/5/12 State the 6 congruent parts of the triangles below. 10 minutes. End. Homework Check. If 2 Triangles have 3 Congruent Sides and 3 Congruent Angles, t hen the 2 Triangles are _________ Do we need all six of these to guarantee two triangles are congruent?.

alia
Download Presentation

Warm Up 12/5/12 State the 6 congruent parts of the triangles below.

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. Warm Up 12/5/12State the 6 congruent parts of the triangles below. 10 minutes End

  2. Homework Check

  3. If 2 Triangles have 3 Congruent Sides and 3 Congruent Angles, then the 2 Triangles are _________ Do we need all six of these to guarantee two triangles are congruent?

  4. Today’s Objective • Students will be able to use triangle congruence postulates and theorems to prove that triangles are congruent.

  5. If the 3 sides of one triangle are congruent to the 3 sides of another triangle, then the two triangles are congruent.

  6. If 2 sides and the included angle of one triangle are congruent to 2 sides and the included angle of another triangle, then the 2 triangles are congruent.

  7. If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle, then the two triangles are congruent.

  8. If 2 angles and a nonincluded side of one triangle are congruent to 2 angles and the corresponding nonincluded side of another triangle, then the triangles are congruent.

  9. Special Theorem for Right Triangles: ***Only true for Right Triangles*** Hypotenuse: Longest side, always opposite the right angle. Legs: Other 2 shorter sides (form the right angle)

  10. Hypotenuse – Leg (HL) Theorem If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the triangles are congruent.

  11. We now have the following: • SSS – side, side, side • SAS – Side, Angle (between), Side • ASA – Angle, Side (between), Angle • AAS – Angle, Angle, Side (Not between) • HL – Hypotenuse, Leg

  12. NEVER USE THESE!!!!!! Or the Reverse (NEVER write a curse word on your paper!!!)

  13. Proving ‘s are Which Theorem proves the Triangles are 1.

  14. 2.

  15. 3.

  16. 4.

  17. 5.

  18. Classwork/Homework • Kuta Software page 37 and 38

More Related