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

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Aim how do we review congruent triangle proofs

Aim:How do we review congruent triangle proofs?

DO NOW:

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


List of reasons
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
Ways to prove triangles

  • SAS

    • Side-Angle-Side

  • AAS

    • Angle-Angle-Side

  • ASA

    • Angle-Side-Angle

  • SSS

    • Side-Side-Side


Remember
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
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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