8.4 – properties of rhombuses, rectangles and squares
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8.4 – Properties of Rhombuses, Rectangles And Squares. Rhombus:. Parallelogram with 4 congruent sides. Diagonals are . Diagonals bisect opposite angles. Rectangle:. Parallelogram with 1 right angle. Diagonals are congruent. Square:. A rectangle that is a rhombus. - PowerPoint PPT PresentationTRANSCRIPT
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8.4 – Properties of Rhombuses, RectanglesAnd Squares
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Rhombus:
• Parallelogram with 4 congruent sides
• Diagonals are
• Diagonals bisect opposite angles
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Rectangle:
• Parallelogram with 1 right angle
• Diagonals are congruent
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Square:
• A rectangle that is a rhombus
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Name the type of parallelogram. Explain.
Rhombus
Diagonals are
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Name the type of parallelogram. Explain.
Rectangle
1 right angle
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Name the type of parallelogram. Explain.
Rhombus
4 sides
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Name the type of parallelogram. Explain.
Square
4 congruent sides and all angles are right angles.
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Name the type of parallelogram. Explain.
Rectangle
Diagonals are
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Name the type of parallelogram. Explain.
Square
Rectangle from diagonals being Rhombus from diagonals being
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The diagonals of rhombus PQRS intersect at T. Given that mRPS = 30° and RT = 6, find the indicated measure.
mQPR = 30° 30°
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The diagonals of rhombus PQRS intersect at T. Given that mRPS = 30° and RT = 6, find the indicated measure.
mQTP = 90° 30°90°
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The diagonals of rhombus PQRS intersect at T. Given that mRPS = 30° and RT = 6, find the indicated measure.
RP = 12 30°90°
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The diagonals of rectangle WXYZ intersect at P. Given that mYXZ = 50° and XZ = 12, find the indicated measure.
WXZ = 40°
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The diagonals of rectangle WXYZ intersect at P. Given that mYXZ = 50° and XZ = 12, find the indicated measure.
PY = 6
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The diagonals of square DEFG intersect at H. Given that EH = 5, find the indicated measure.
GHF = 90°
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The diagonals of square DEFG intersect at H. Given that EH = 5, find the indicated measure.
DGH =45°
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The diagonals of square DEFG intersect at H. Given that EH = 5, find the indicated measure.
HF = 5
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HW Problem8.4 537-538 19-26, 28, 32-35, 38-41, 44-48
#15
Ans: Rhombus
all sides are congruent
x + 104 = 180
x = 76°
3y = y + 8
y = 4