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Math vocab for 6.1 - 6.7

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Answer
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  
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polygon   each endpoint of a side is a vertex of the polygon a polygon is a regular polygon if it is equilateral and equilangular  
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convex polygon   a polygon such that no line containing a side of the polygon contains a point in the interior of the polygon  
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concave polygon   a polygon such that a line containing a side of the polygon contains a point in the interior of the polygon  
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diagonal   a segment that joins two nonconsecutive vertices of a polygon  
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interior angles of a quadrilateral theorem   the sum of the measures of the interior angles of a quadrilateral is 360 degrees  
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parallelogram   a quadrilateral with both pairs of opposite sides parallel  
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  if a quadrilateral is a parallelogram, then its opposite angles are congruent  
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  if a quadrilateral is a parallelogram, then its opposite angles are congruent  
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  if a quadrilateral is a parallelogram, then its consecutive angles are supplementary  
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  if a quadrilateral is a parallelogram, then its diagonals bisect each other  
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  if both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram  
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  if both pairs of opposite sides of a quadrilateral are congruent, the the quadrilateral is a parallelogram  
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  if an angle of a quadrilateral is supplementary to both of its consecutive angles, then the quadrilateral is a parallelogram  
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  if the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram  
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  if one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram  
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rectangle   a parallelogram with 4 right angles  
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rhombus   a parallelogram with 4 congruent sides  
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square   a parallelogram with 4 congruent sides and 4 right angles  
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rhombus corollary   a quadrilateral is a rhombus if and only if it has 4 congruent sides  
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rectangle corollary   a quadrilateral is a rectangle if and only if it has 4 right angles  
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square corollary   a quadrilateral is a square if and only if it is a rhombus and a rectangle  
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  a parallelogram is a rhombus if and only if its diagonals are perpendicular  
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  a parallelogram is a rhombus if and only if each diagonal bisects a pair of opposite angles  
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  a parallelogram is a rectangle if and only if its diagonals are congruent  
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midsegment   connects midpoints of a trapezoid's legs  
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kite   a quadrilateral that has two pairs of consecutive congruent sides, but in which opposite sides are not congruent  
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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.  
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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  
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  if a trapezoid is isoceles, then each pair of base angles is congruent  
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  if a trapezoid has a pair of congruent base angles, then it is an isoceles triangle  
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  a trapezoid is isoceles if and only if its diagonals are congruent  
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  if a quadrilateral is a kite, then its diagonals are perpendicular  
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  if a quadrilateral is a kite, then exactly one pair of opposite angles are congruent  
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area of a square postulate   the area of a square is the square of the length of its side  
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area congruence postulate   if two polygons are congruent, then they have the same area  
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area addition postulate   the area of a region is the sum of the areas of its nonoverlapping parts  
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area of a rectangle   the area of a rectangle is the product of its base and height  
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area of a parallelogram   the area of a parallelogram is the product of a base and its corresponding height  
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area of a triangle   the area of a triangle is one-half the product of a base and its corresponding height  
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area of a trapezoid   the area of a trapezoid is one-half the product of the height and the sum of the bases  
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area of a kite   the area of a kite is one-half the product of the lengths of its diagonals  
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area of a rhombus   the area of a rhombus is equal to one-half the product of the lengths of the diagonals  
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