Transcript of Quadrilaterals Bryce Hall 4 Wennersten. Parallelograms Definition: a quadrilateral having both pairs...
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- Quadrilaterals Bryce Hall 4 Wennersten
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- Parallelograms Definition: a quadrilateral having both pairs of
opposite sides parallel to each other.
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- Properties The opposite sides are parallel The opposite sides
are also congruent The opposite angles are congruent The diagonals
bisect each other Bisects
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- Formulas for Parallelograms Perimeter = 2a + 2b Area = b x h
The area is b x h because a parallelogram is basically just two
right triangles and a rectangle, so the area = length x width and
length x width = b x h :3
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- Properties we dont Know The adjacents sides are parallel, so
their measure is 180 x + y = 180
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- Rhombus Definition: an equilateral parallelogram, including the
square as a special case.
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- Properties of Rhombuses Have 4 equal/congruent/same sides Their
diagonals are perpendicular Diagonals make right triangles The
diagonals bisect their angles
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- Formulas Perimeter = all four sides added together x + x + x +x
(x4) = perimeter Area = length of 2 diagonals times Area = ab
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- Properties of the Angles of a Rhombus (Stuff we dont know yet)
Adjacent sides of Rhombus are supplementary (Add up to 180)
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- Rectangles Definition: a parallelogram having four right
angles. gay rectangle
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- Properties of Rectangles Four right angles (all 90) Diagonals
are congruent This picture is a rectangle!!!
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- Formulas of Rectangles Perimeter is the two lengths and the two
heights added together l + l + w + w = perimeter Area is the length
times the width l x w = height
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- Special Quadrilaterals!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!
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- Trapezoids Definition: a quadrilateral plane figure having two
parallel and two nonparallel sides
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- Properties of Trapezoids Only have one set of parallel sides
The midsegment is the average of the base lengths The midsegment is
parallel to the bases The angles on either side of the base are
parallel The diagonals are congruent The adjacent angles are
parallel (Add up to 180) b = base, a = leg
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- Formulas of Trapezoids Perimeter is the length of every side
leg1 + leg2 + base1 + base2 = perimeter Area is the of the height
times both of the bases added together Area = h (b + b)
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- Why we use the formula h (b + b) for area of a Trapezoid The
formula is based on two identical trapezoids side by side, so
theyre a parallelogram!!!! We have to use the formula for
parallelograms ( base x height) Since the are of this figurative
parallelogram is two of the trapezoids, we find of it!!!!!!!!
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- Kites Theres no definition, but it looks like a kite! Gay
kite!
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- Properties of a Kite Two pairs of congruent sides Two of the
sides arent congruent The diagonals are perpendicular One pair of
the opposite angles are congruent The intersection of the diagonals
make right triangles (Because theyre perpendicular) The long
diagonal bisects the short one
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- Formulas for Kites The perimeter is all of the sides added a +
a + b + b = perimeter Add the two diagonals and divide by 2 or
multiply by area = ab
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- Isosceles trapezoids Theres no definition, but an isosceles
trapezoid has one pair of equal sides!!!!!!! (Isosceles trapezoids
have the same formulas as normal trapezoids!)
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- Properties of Isosceles Trapezoids Pairs of the base angles are
congruent Diagonals are congruent The angles on either side of the
bases are the same size