Chapter 6: Polygons and Quadrilaterals (start of second sem) Flashcards
Def of Parallelogram
A quadrilateral with two opposite sets of parallel lines
Def of Rhombus
A parallelogram with 4 congruent sides
Def of Rectangle
A parallelogram with 4 right angles
Def of Square
A parallelogram with 4 congruent sides and 4 right angles
Def of Kite
A quadrilateral with 2 pairs of congruent adjacent sides where the opposite sides are not congruent
Def of Trapezoid
A quadralateral with exactly one pair of parallel sides
Def of Isosceles Trapezoid
A trapezoid with the non-parallel sides congruent
properties of parallelogram
- opposite angles are congruent
- opposite sides are congruent
- diagonals bisect each other
- adjacent angles are supplementary
- if one pair of opposite sides are congruent and parallel, then it is a parallelogram
Properties of Rhombus
- properties of parallelogram
- diagonals are perpendicular bisectors
- diagonals bisect opposite angles
Properties of rectangle
- properties of parallelogram
- diagonals are congruent
Properties of square
- properties of parallelogram
- diagonals are perpendicular bisectors
- diagonals are congruent
- diagonals bisect opposite angles
Properties of a kite
- Exactly 1 pair of opposite congruent angles
- diagonals are perpendicular
- the diagonal whose endpoints are on the vertex of congruent angles is bisected
Properties of a Trapezoid
no special properties
Properties of isosceles trapezoid
- diagonals are congruent
- base angles are congruent