6.4 Special Parallelograms

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Presentation transcript:

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

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

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

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

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

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

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.

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

6.4 Special Parallelograms Work on THT! (Due Monday!!!) MAD GAB Thick How Worldly Line Work on THT! (Due Monday!!!) Quiz 6.1-6.3 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