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6.4 Special Parallelograms 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. AC BD 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. ABCD is a parallelogram 1. 2. 3. AB DC 4. BC BC 5. ABC and DCB are rt. s 6. ABC DCB 3. 4. 5. 7. ABC DCB 8. AC BD 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 Thick How Worldly Line THT: Can do Quiz 6.1-6.3 everythingThe BUT Cowardly Lion TOMORROW! 8, 12, 13, 25 Well Comb Tooth He Junk Kill HW 6.4:1-15 odd, 16-18, 21, 25-34 Welcome to the Jungle