6.4 Properties of Rhombuses, Rectangles, and Squares.notebook 1 February 11, 2015 2/11: Warm Up Find the value of the variable(s) that make the quadrilateral a parallelogram. 1.
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6.4 Properties of Rhombuses, Rectangles, and Squares.notebook
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February 11, 2015
2/11: Warm Up
Find the value of the variable(s) that make the quadrilateral a parallelogram.
1.2.
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6.4: Properties of Rhombus, Rectangles, and Squares Date: 2/11
Special Parallelograms:
A ______________ is a parallelogram with ______ ____________ sides.
A ______________ is a parallelogram with ______ _________ angles.
A ______________ is a parallelogram with ______ ____________ sides
and _______ __________ angles.
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Ex 1). Is parallelogram FGHJ a rhombus, a rectangle, or a square? Explain.
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Ex 2). List the quadrilaterals that have the given property. Choose among parallelogram, rhombus, rectangle, and square.
a) Opposite angles are supplementary
b) Consecutive sides are congruent
c) Consecutive sides are perpendicular
d) Consecutive angles are congruent
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Ex 3). Decide whether the parallelogram is a rhombus, rectangle, or square. Explain.
a)
b)
c)
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More on Rhombuses:
Theorem 613:
If a parallelogram is a rhombus, then its diagonals
are _________________________.
Theorem 614:
If a parallelogram is a rhombus, then each diagonal
___________ a pair of opposite angles.
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Ex 4). What are the measures of the numbered angles in the rhombus?
a)
b)
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More on Rectangles:
If a parallelogram is a rectangle, then its
diagonals are ______________.
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Ex 5). In rectangle MNOP, PN = 7x – 8 and MO = 4x + 10. What is the length of PN?
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FYI: Everything that is true for rhombuses and rectangles is true for a square!
Homework: pg. 400 #1 – 4, 9 – 23, 24 – 32(e), 34, 35
Quiz #1 (6.1 6.4) FridayMathXL due Friday
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Graphic Organizer:Due: Wednesday 2/25
Name all quadrilateralsDraw arrows vertically
Draw all diagonalsLabel/mark all things true about each quadrilateral
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