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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. 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?

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  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!~

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