1 / 9

Essential Methods for Reviewing Congruent Triangle Proofs

This resource provides a comprehensive overview of methods to review congruent triangle proofs in geometry. It lists important reasons for triangle congruence, including foundational properties like angles and sides being congruent, the Reflexive Property, and various triangle proof techniques such as SAS, AAS, ASA, and SSS. Key reminders highlight the limitations of certain methods like ASS and AAA that only establish similarity but not congruence. The document encourages collaborative learning through pair-sharing and prepares students for geometry assessments.

duff
Télécharger la présentation

Essential Methods for Reviewing Congruent Triangle Proofs

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. Aim:How do we review congruent triangle proofs? DO NOW: List as many ‘reasons’ as you can for congruent triangles

  2. LIST OF REASONS • 1. Perpendicular lines form right angles • 2. All right angles are congruent • 3. If 2 angles are congruent their supplements are congruent • 4. Reflexive Property • 5. Addition Property • 6. Subtraction Property • 7. If 2 angles are congruent their complements are congruent • 8. A midpoint divides a line segment into 2 congruent parts • 9. If 2 sides in a triangle are congruent, then opposite angles are congruent • 10. A tri-sector divides a line segment into 3 congruent parts • 11. Corresponding parts in congruent triangles are congruent (CPCTC) • 12. Halves of congruent angles are congruent • 13. Halves of congruent line segments are congruent • 14. If 2 angles in a triangle are congruent, then opposite sides are congruent • 15. If at last two sides of a triangle are congruent, then the triangle is isosceles • 16. If a triangle contains a right angle, it is a right triangle

  3. Practice Proof 1

  4. Ways to prove triangles • SAS • Side-Angle-Side • AAS • Angle-Angle-Side • ASA • Angle-Side-Angle • SSS • Side-Side-Side

  5. REMEMBER! • The Donkey Theorem • ASS (SSA) DOES NOT PROVE TRIANGLES CONGRUENT! • Also: AAA only proves triangles similar, and not congruent! • HY-LEG (Which is the hypotenuse and a leg) can only be used in RIGHT TRIANGLES!

  6. Proof #2

  7. Pair Share! Yay :)

  8. Another Pair Share?

  9. Homework :’( • The homework can be found on the other side of your Reasons handout! • Have fun? • Good luck on the Regents!~

More Related