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A quadrilateral with both pairs of opposite sides parallel?
A parallelogram
What are all of the characteristics of a parallelogram?
Parallelograms: 1.)opposite side of a parallelogram are parallel and you can prove that by finding the slope for both lines. 2.) opposite sides of a parallelogram are congruent 3.) diagonals bisect each other 4.)opposite angles are congruent 5.) consecutive angles are supp. *Remember that alternate interior angles are congruent. To break it down in a better understanding way. 1.)opposite side of a parallelogram are parallel and you can prove that by finding the slope for both lines. If the shape is a parallelogram then you can find the slope of its sides. if they are parallel to each other then it is a parallelogram. 2.) opposite sides of a parallelogram are congruent top and bottom sides are congruent. right and left sides are congruent. 3.) diagonals bisect each other When you draw a straight line from the top right corner to the bottom left corner and from the top left corner to the bottom right corner, the bisect each other or in better terms, the lines cut each other equaly in half. 4.)opposite angles are congruent just as the sides. 5.) consecutive angles are supp. These angels produce a line. this line like all lines will add up to 180 degrees. *Remember that alternate interior angles are congruent.
What constraints are needed on the lengths of the sides of a quadrilateral for it to be a parallelogram?
Both pairs of opposite sides need to be congruent (the same length).
Are both pairs of opposite angles congruent of a kite?
Only the two angles which are connected by the shorter diagonal will be congruent. The other two angles will not necessarily be congruent.
A rectangle is a rhombus true or false?
False but they are both 4 sided quadrilaterals
