What is a Trapezoid?
A shape with at least 1 pair of parallel sides
What is a parallelogram?
a shape where opposite sides are equal, and parallel, and opposite angles are equal
What are the propertys that a rhombus has?
diagnols perpendicular, diagnols bisect, all sides equal, everything a parallelogram has
propertys of a rectangle
all angles are right, diagnols are equal, and everything a parallelogram has
What are 2 things a square must have?
all right angles and all equal sides
Is a trapezoid a parallelogram?
No, a trapezoid is not a parallelogram but a parallelogram is a trapezoid
Quadrilateral abcd has a transversal, from ab to cd and ca is parallel to db. Opposite sides are equal, is this a parallelogram?
yes
What makes the diagonal of a rhombus special
They are perpendicular and Angle bisectors
Why is a rectangle not a square
Because square has all sides equal
is a square a trapazoid parallellogram, rectangle, and rhombus?
yes a square is the all mighty shape
Given angle b is 108 and abcd is a trapazoid, what is the measure of angle a?
angle a = 180 - 108 = 72
is a hexagon a parallelogram?
No a parallelogram must be a quadrilateral
Is a rectangle a rhombus
No it does not have all equal sides
Why is it that when you have one right angle in a parallelogram it’s automatically a rectangle
Because angle pairs are supplementary
what makes the diagnols of a square special
they bisect, they are equal, they are perpendicular, and they are angle bisectors
A quadrilateral with 2 equal sides and 1 pair of opposite interior angles, what shape is this?
a trapezoid
How would you prove a parallelogram is a parallelogram in cord geometry?
Opposite sides have same slope
Parallelogram abcd has all equal sides, and all equal angles. Is this a rhombus?
No it’s a square because rhombus don’t have all equal angles
Parallelogram abcd has diagonals that bisect and are equal this shape also has one right angle. What shape is it?
Rectangle
what shape is this? a rhombus with equal diagonals and right angles
a square
Quadrilateral RSTU has vertices at R(-4,4), S(2,7),T(5,2), and U(-7,-4). What shape is this and do any of the slopes form a perpendicular line?
diffrence between a trapezoid and a parallelogram
trapazoid has one pair of parallel sides
How would you prove a parallelogram is a rhombus using cord geometry?
Opposite sides will have equal slope and using distance formula all sides should be the same distance.
How would you prove a rectangle In cord geometry?
Parallel sides and non parallel sides are perpendicular
how would you prove a square in cord geometry?
all opposing sides have equal slope and all sides have the same distance and non opposing sides are perpendicular