Geometry Ch 6 - Quadrilaterals Flashcards
Parallelogram
A quadrilateral with both pairs of opposite sides parallel.
Rhombus
A parallelogram with four congruent sides.
Rectangle
A parallelogram with four right angles.
Square
a parallelogram with four congruent sides and four right angles.
Kite
A quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent.
Trapezoid
A quadrilateral with exactly one pair of parallel sides.
Isosceles Trapezoid
A trapezoid whose nonparallel opposite sides are congruent.
Opposite sides of a parallelogram are…
…congruent.
Consecutive Angles
Angles of a polygon that share a side.
Opposite angles of a parallelogram are…
…congruent.
The diagonals of a parallelogram…
…bisect each other.
If three (or more) parallel lines cut off congruent segements on one transversal…
…then they cut off congruent segements on every transversal.
If both pairs of opposite sides of a quadrilateral are congruent…
…then the quadrilateral is a parallelogram.
If both pairs of opposite angles or a quadrilateral are congruent…
…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 is both congruent and parallel…
… then the quadrilateral is a parallelogram.
Each diagonal of a rhombus…
…bisects two angles of the rhombus.
The diagonals of a rhombus…
…are perpendicular.
The diagonals of a rectangle…
… are congruent.
If one diagonal of a parallelogram bisects two angles of the parallelogram…
… then the parallelogram is a rhombus.
If the diagonals of a parallelogram are perpendicular…
… then the parallelogram is a rhombus.
If the diagonals of a parallelogram are congruent…
… then the parallelogram is a rectangle.
Base Angles of a Trapezoid
Two angles that share a base of a trapezoid. The base angles of an isosceles trapezoid are congruent.
Bases of a Trapezoid
The parallel sides.
Legs of a Trapezoid
The non-parallel sides.
The base angles of an isosceles trapezoid…
… are congruent
The diagonals of an isosceles trapezoid…
… are congruent.
The diagonals of a kite…
… are perpendicular.
Midsegment of a Trapezoid
The segment that joins the midpoints of the nonparallel opposite sides.
Trapezoid Midsegment Theorem
1 - The midsegment of a trapezoid is a parallel to the bases.
2- The length of the midsegment of a trapezoid is half the sum of the lengths of the bases.
