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QUADRILATERALS - Coggle Diagram
QUADRILATERALS
PARALLELOGRAM
AB // DC and AD // BC
AB = DC and AD = BC
m(A) = m(C) and m(B) = m(D)
m(A) + m(C) = m(B) + m(D) = 180
Diagonals bisect each other.
Area: base x height
Diagonals divide the whole area into 4 equal parts.
SQUARE
All sides are equal.
Diagonals are equal.
Diagonals are perpendicular.
Diagonals are angle bisectors.
All angles are right angles (90 degree)
Perimeter : 4s
Area: s²
Diagonals divide the whole area into 4 equal parts.
DELTOID
AB = AD and BC = DC
m(B) = m(D)
AC and BD are diagonals and angle bisectors.
Area : (AC x BD) / 2
ABD and BCD are isosceles triangles.
Diagonals intersect perpendicularly.
RHOMBUS
AB = BC = CD = DA
Diagonals are perpendicular.
Diagonals are angle bisectors.
Area: (AC x DB) / 2
Area: base x height
m(A) = m(C) and m(B) = m(D)
TRAPEZOID
Angle bisectors intersect at a right angle on midsegment.
m(A) + m(D) = m(B) + m(C) =180
Has two parallel sides. (AB // DC)
Area: (a+b) / 2 x h
AC and DB are diagonals.
RECTANGLE
Area: a x b
Diagonals bisect each other.
All angles are right angles (90 degree)
Diagonals divide the whole area into 4 equal parts.
AB = DC and AD = BC
Perimeter: 2 x (a+b)
RIGHT TRAPEZOID
m(C) + m(B) =180
m(A) = m(D) = 90
Diagonals intersect at a right angle.
h² = DC x AB
ISOSCELES
TRAPEZOID
Base angles are equal.
Diagonal lengths are equal.
Opposite sides are equal.