1. 6.4 Special Parallelograms
MAD GAB
Kill Again
Sigh Land
Gilligan’s Island
Meat Are
Sin Hue
Chain
Me Tarzan, You Jane

2. Theorem
Theorem 6.9: Each diagonal of a rhombus bisects two angles of the rhombus.

3. Theorem
Theorem 6.10: The diagonals of a rhombus are perpendicular.

4. Applications
Find the measures of the numbered angles of the rhombuses.

5. Theorem Theorem 6.11: The diagonals of a rectangle are congruent.
Statements
Reasons 1. 2. 3. 4. 5. 6. 7. 8.

6. Applications
Find the length of segment FD in rectangle GFED if FD = 3y + 4 and GE = 6y – 5.

7. CONVERSES…
Theorem 6.12: If one diagonal of a parallelogram bisects two angles of the parallelogram, the parallelogram is a rhombus.
Theorem 6.13: If the diagonals of a parallelogram are perpendicular, the parallelogram is a rhombus.
Theorem 6.14: If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

8. Applications
Can you conclude that the parallelogram is a rhombus or a rectangle? Explain.

9. 6.4 Special Parallelograms Work on THT! (Due Monday!!!)
MAD GAB
Thick How
Worldly
Line
Work on THT! (Due Monday!!!)
Quiz on Friday!
The Cowardly Lion
Well Comb
Tooth He
Junk Kill
HW 6.4:1-15 odd, 16-18, 21, 25-34
Welcome to the Jungle