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Math 6.1 - 6.7

Math vocab for 6.1 - 6.7

QuestionAnswer
polygon a plane figure that meets the following conditions:1. it is formed by 3 or more segments called sides, such that no two sides with a common endpoint are collinear2. each side intersects exactly 2 other sides, one at each endpoint
polygon each endpoint of a side is a vertex of the polygon a polygon is a regular polygon if it is equilateral and equilangular
convex polygon a polygon such that no line containing a side of the polygon contains a point in the interior of the polygon
concave polygon a polygon such that a line containing a side of the polygon contains a point in the interior of the polygon
diagonal a segment that joins two nonconsecutive vertices of a polygon
interior angles of a quadrilateral theorem the sum of the measures of the interior angles of a quadrilateral is 360 degrees
parallelogram a quadrilateral with both pairs of opposite sides parallel
if a quadrilateral is a parallelogram, then its opposite angles are congruent
if a quadrilateral is a parallelogram, then its opposite angles are congruent
if a quadrilateral is a parallelogram, then its consecutive angles are supplementary
if a quadrilateral is a parallelogram, then its diagonals bisect each other
if both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram
if both pairs of opposite sides of a quadrilateral are congruent, the the quadrilateral is a parallelogram
if an angle of a quadrilateral is supplementary to both of its consecutive angles, then the quadrilateral is a parallelogram
if the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram
if one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram
rectangle a parallelogram with 4 right angles
rhombus a parallelogram with 4 congruent sides
square a parallelogram with 4 congruent sides and 4 right angles
rhombus corollary a quadrilateral is a rhombus if and only if it has 4 congruent sides
rectangle corollary a quadrilateral is a rectangle if and only if it has 4 right angles
square corollary a quadrilateral is a square if and only if it is a rhombus and a rectangle
a parallelogram is a rhombus if and only if its diagonals are perpendicular
a parallelogram is a rhombus if and only if each diagonal bisects a pair of opposite angles
a parallelogram is a rectangle if and only if its diagonals are congruent
midsegment connects midpoints of a trapezoid's legs
kite a quadrilateral that has two pairs of consecutive congruent sides, but in which opposite sides are not congruent
trapezoid A quadrilateral with exactly one pair of parallel sides, called bases. The nonparallel sides are legs.A trapezoid has two pairs of base angles.If the legs of a trapezoid are congruent, then the trapezoid is an isosceles trapezoid.
midsegment theorem for trapezoids the midsegment of a trapezoid is parallel to each base and its length is one-half the sum of the lengths of the bases
if a trapezoid is isoceles, then each pair of base angles is congruent
if a trapezoid has a pair of congruent base angles, then it is an isoceles triangle
a trapezoid is isoceles if and only if its diagonals are congruent
if a quadrilateral is a kite, then its diagonals are perpendicular
if a quadrilateral is a kite, then exactly one pair of opposite angles are congruent
area of a square postulate the area of a square is the square of the length of its side
area congruence postulate if two polygons are congruent, then they have the same area
area addition postulate the area of a region is the sum of the areas of its nonoverlapping parts
area of a rectangle the area of a rectangle is the product of its base and height
area of a parallelogram the area of a parallelogram is the product of a base and its corresponding height
area of a triangle the area of a triangle is one-half the product of a base and its corresponding height
area of a trapezoid the area of a trapezoid is one-half the product of the height and the sum of the bases
area of a kite the area of a kite is one-half the product of the lengths of its diagonals
area of a rhombus the area of a rhombus is equal to one-half the product of the lengths of the diagonals
Created by: jumpthemoon