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8.4 – Properties of Rhombuses, Rectangles And Squares. Both Opp. Sides parallel. Both Opp. Sides . Both Opp. Angles . Consecutive Angles Supp. x + y = 180 °. y. x. y. Diagonals bisect each other. x. Parallelogram. Rhombus. Rectangle. Rhombus:. - PowerPoint PPT Presentation
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8.4 – Properties of Rhombuses, RectanglesAnd Squares
Parallelogram:
Both Opp. Sides parallel
Both Opp. Sides
Both Opp. Angles
Consecutive Angles Supp.
Diagonals bisect each otherx
xyy
x + y = 180°
Parallelogram
Rhombus Rectangle
Rhombus:
• Parallelogram with 4 congruent sides
• Diagonals are
• Diagonals bisect opposite angles
Parallelogram
Rhombus Rectangle
Rectangle:
• Parallelogram with 4 right angles
• Diagonals are congruent
Parallelogram
Rhombus Rectangle
Square
Square:
• A rectangle that is a rhombus
1. Determine the most specific name for the quadrilateral. Explain.
Rhombus
Diagonals are
1. Determine the most specific name for the quadrilateral. Explain.
Rectangle
Quad w/ 4 right angles
Rhombus
4 sides
1. Determine the most specific name for the quadrilateral. Explain.
Parallelogram
Both pairs of opposite sides parallel
1. Determine the most specific name for the quadrilateral. Explain.
Rectangle
Diagonals are
1. Determine the most specific name for the quadrilateral. Explain.
Square
Rectangle from diagonals being Rhombus from diagonals being
1. Determine the most specific name for the quadrilateral. Explain.
2. The diagonals of rhombus PQRS intersect at T. Given that mRPS = 30° and RT = 6, find the indicated measure.
mQPR = 30°30°
mQTP = 90°
RP = 12
mPQT = 60°
60°
3. The diagonals of rectangle WXYZ intersect at P. Given that mYXZ = 50° and XZ = 12, find the indicated measure.
WXZ = 40°
40°
PY = 6
4. The diagonals of square DEFG intersect at H. Given that EH = 5, find the indicated measure.
GHF = 90°
DGH =45°
HF = 545°
Ans: Rhombus
all sides are congruent
x + 104 = 180
x = 76°
3y = y + 8
y = 4
HW Problem