Geometry Unit 8 Flashcards
(18 cards)
interior angle sum formula
(n-2) 180
regular polygon
have congruent sides and angles
how to find the measure of a single interior angle
(n-2) 180/n
sum of the exterior measures of any polygon is _____
360*
how to find an exterior angle measure of a regular polygon?
360/n
how to find the number of sides of a regular polygon?
360/an exterior angle
def of parallelogram
a quadrilateral in which both pairs of opp. sides are parallel
properties of parallelograms
-opposite sides parallel
-opposite sides congruent
-opposite angles congruent
-consecutive angles supplementary
-diagonals bisect each other
what formula should you use to prove that both pairs of opposite sides are congruent (for a parallelogram in a coordinate plane)
distance formula
what formula should you use to prove that both pairs of opposite sides are parallel (for a parallelogram in a coordinate plane)
slope formula
what formula should you use to prove that one pair of opposite sides are congruent and parallel (for a parallelogram in a coordinate plane)
both the distance and slope formulas
properties of a rhombus
every property of a parallelogram AND
-all 4 sides are congruent
-diagonals are perpendicular
-diagonals bisect opp. angle’s
properties of rectangles
every property of a parallelogram AND
-all 4 angle’s are right
-diagonals are congruent
properties of a square
every property of a parallelogram, rectangle, and rhombus
properties of non-isosceles trapezoids
-only 1 pair of opp. sides are parallel
-consecutive angles between parallel lines are supp.
properties of isosceles trapezoids
same properties as non-iso. trapezoids AND
-non-parallel sides are congruent
-diagonals are congruent
-base angles are congruent
-opposite angles are supplementary
midsegment of a trapezoid=
upper and lower segments/2
properties of a kite
-exactly 2 pairs of consecutive congruent sides
-one pair of opposite angles are congruent
-diagonals are perpendicular
