Polygons and Quadrilaterals
chapter 6
Block 1
Block 2: Kite
A kite is a quadrilateral with two pairs of equal-length or congruent adjacent sides that has no opposite sides that are congruent. A kite's diagonals are perpendicular.
Four sided, kite shaped diamond
One side of a multisided die creates a kite
Trapezoid and isoceles Trapezoid
A trapezoid is a quadrilateral with exactly 2 parallel sides and 2 non-parallel sides. An Isosceles trapezoid is a trapezoid with 2 parallel sides and 2 congruent sides.
Trapezoid ex
In order to find "X" you have to add the top and bottom sides and multiply it by 1/2 but by doing this it cancels itself out. Then you multiply the mid-segment by 2 and equal it to the sum of the top and bottom sides.
Parallelogram
A quadrilateral with both pairs of opposite sides parallel. The 2 sides are parallel and the top and bottom are parallel. Since the opposite sides are parallel this makes the opposite angles congruent.
Parallelogram ex
To get "A" you add the bottom 2 angles together then subtract that number by 180, because its a triangle. To get "B" it is the opposite angle from 30 degrees;so, since they're opposite angles they're congruent. To get "C" you subtract 30 from 90 because the 2 angles add together to get 90 degrees.
Rhombus
All sides are parallel to each other.
Square
All sides are parallel to each other and all angles are congruent.
Rectangle
All 4 angles are congruent. Top and bottom sides are parallel and the 2 sides are parallel but all 4 sides are not parallel to each other