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# Math 6.1 - 6.7

### Math vocab for 6.1 - 6.7

Question | 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 |

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