Hinge theorem grade 8 powerpoint presentation

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1. Hinge Theorem Jezelyn C. Fabelinia

2. ACTIVITY TIME!!! Group 1 Group 2 Group 3

3. Guide Questions: Guide questions: 1.What is your object? 2. What do you observe in the given object? 3. What do you observe when the object is moving?

4. Hinge Theorem ---------- -----------------               Point R and N are considered the Hinge of pair of non- congruent sides

5. Hinge Theorem If two sides of a triangle are congruent to two sides of another triangle and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle.             m                  

6. Hinge Theorem

7. Example: GIVEN: RT RS   ST    

8. Example: GIVEN: BC AC       A B C D E

9. Example: GIVEN: AB AC   B    

10. Example: GIVEN: BC BA   A    

11. Example: GIVEN: RU US   RS    

12. Hinge Converse Theorem If two sides of a triangle are congruent to two sides of another triangle and the third side of the first is longer than the third side of the second, then the included angle in the first triangle is greater than the included angle in the second triangle.   If we return to the alligator analogy, the converse of the Hinge Theorem would tell us that the wider the alligator opens his mouth (EF > BC), the larger the angle he creates at the hinge of his jaw ( m ∠ D > m ∠ B ). If EF > BC, then m ∠ D > m ∠ B .  

13. Hinge Theorem If two sides of a triangle are congruent to two sides of another triangle and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle.                          

14. < EXAMPLE: Fill the box with >, <, or =. GIVEN:     B  

15.   EXAMPLE: Fill the box with >, <, or =. GIVEN:   B   YZ

16.   EXAMPLE: Fill the box with >, <, or =. GIVEN:   A   EF

17.   EXAMPLE: Fill the box with >, <, or =. GIVEN: LY LN     IN L N Y I

18.   EXAMPLE: Fill the box with >, <, or =. GIVEN: RS RT     UT

19. SEATWORK: Fill the box with >, <, or =. , ∠NMR__∠NPR 2. ∠ABC__∠DEF, AB 3 . , ∠N 4. ∠ADB CDB,