6.4 Special Parallelograms
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Transcript of 6.4 Special Parallelograms
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6.4 Special ParallelogramsMAD GAB
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Theorem
Theorem 6.9: Each diagonal of a rhombus bisects two angles of the rhombus.
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Theorem
Theorem 6.10: The diagonals of a rhombus are perpendicular.
BDAC
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Applications
Find the measures of the numbered angles of the rhombuses.
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TheoremTheorem 6.11: The diagonals of a rectangle are congruent.
Statements Reasons
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ramparallelog a is ABCD
DCAB BCBC
s rt. are and DCBABC
DCBABC
DCBABC BDAC
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Find the length of segment FD in rectangle GFED if FD = 3y + 4 and GE = 6y – 5.
Applications
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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.
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Applications
Can you conclude that the parallelogram is a rhombus or a rectangle? Explain.
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6.4 Special Parallelograms
HW 6.4:1-15 odd, 16-18, 21, 25-34
Work on THT! (Due Monday!!!)
Quiz 6.1-6.3 on Friday!
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