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Aim: How do we review congruent triangle proofs?PowerPoint Presentation

Aim: How do we review congruent triangle proofs?

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### Aim:How do we review congruent triangle proofs?

DO NOW:

List as many ‘reasons’ as you can for congruent triangles

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

Ways to prove triangles

- SAS
- Side-Angle-Side

- AAS
- Angle-Angle-Side

- ASA
- Angle-Side-Angle

- SSS
- Side-Side-Side

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!

Homework :’(

- The homework can be found on the other side of your Reasons handout!
- Have fun?
- Good luck on the Regents!~

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