Chapter 6 Flashcards
base angles of a trapezoid are formed by __________
base and one of the legs
diagonal
a segment that connects 2 nonconsecutive vertices
isosceles trapezoid
occurs when legs of a trapezoid are congruent
Kite
quadrilateral with exactly two pairs of consecutive congruent sides
legs of a trapezoid
non-parallel opposite sides of a trapezoid
midsegment of a trapezoid
connects midpoints of legs of a trapezoid
Parallelogram
quadrilateral with both pairs of opposite sides parallel
Rectangle
parallelogram with 4 right angles
Rhombus
parallelogram with all four sides congruent
Square
parallelogram with 4 congruent sides and 4 right angles
Trapezoid
quadrilateral with exactly one pair of parallel lines
Polygon interior angle equation
((Number of sides)-2)180
Polygon exterior angle sum
360 degrees
How many pairs of opposite sides have to be congruent for a quadrilateral to be a parallelogram?
2 pairs of opposite sides
How many pairs of opposite angles have to be congruent for a quadrilateral to be a parallelogram.
Both, or 2 pairs of opposite angles
If a quadrilateral is a parallelogram, then its consecutive angles are ________
supplementary
If a parallelogram has 1 right angle, then it has
4 right angles
If a quadrilateral is a parallelogram, what happens to its diagonals?
They are bisected
If a quadrilateral is a parallelogram, then each diagonal separates the parallelogram into…..
2 congruent triangles
One pair of opposite sides must be _____ and _______ for the quadrilateral to be a parallelogram
parallel, congruent
If a parallelogram is a rectangle, it’s diagonals are __________
congruent
If a parallelogram is a rhombus, it’s diagonals are __________
perpendicular
If a parallelogram is a rhombus, each diagonal……..
bisects a pair of opposite angles
if one pair of consecutive sides of a parallelogram are congruent, the parallelogram is a _______
rhombus
If a quadrilateral is both a rectangle and a rhombus, then the quadrilateral is a __________
square
Base of trapezoid
the parallel sides of a trapezoid