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29 Cards in this Set
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Quadrilateral

A foursided polygon.


Parallelogram

A quadrilateral with both pairs of opposite sides parallel.


If a quadrilateral is a parallelogram, then both pairs of opposite sides are...

congruent and parallel.


If a quadrilateral is a parallelogram, then both pairs of opposite angles are...

congruent.


If a quadrilateral is a parallelogram, then its diagonals...

bisect each other.


If a quadrilateral is a parallelogram, then its consecutive angles are...

supplementary.


Parallelogram Opposite Sides Theorem:

Opposite sides of a parallelogram are congruent.


Parallelogram Opposite Angles Theorem:

Opposite angles of a parallelogram are congruent.


Parallelogram Consecutive Angles Theorem:

Consecutive angles of a parallelogram are supplementary.


Parallelogram Diagonals Theorem:

The diagonals of a parallelogram bisect each other.


Quadrilateral Parallel and Congruent Sides Theorem:

If one pair of opposite sides of a quadrilateral is both parallel and congruent, then the quadrilateral is a parallelogram.


Converse of the Quadrilateral Opposite Sides Theorem:

If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.


Converse of the Quadrilateral Opposite Angles Theorem:

If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.


Converse of the Quadrilateral Diagonals Theorem:

If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.


Opposite, Parallel, Congruent Theorem:

If one pair of opposite sides of a quadrilateral is both parallel and congruent, then the quadrilateral is a parallelogram.


Rectangle Theorem:

If a parallelogram is a rectangle, then its diagonals are congruent.


Converse of the Rectangle Theorem:

If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.


If a quadrilateral is a rectangle, then opposite sides are ___________ and _____________.

congruent and parallel


If a quadrilateral is a rectangle, then opposite angles are ____________.

congruent


If a quadrilateral is a rectangle, then consecutive angles are ___________.

supplementary


If a quadrilateral is a rectangle, then diagonals are ______________ and ______________ each other

congruent and bisect


If a quadrilateral is a rectangle, then all four angles are ___________.

right (90 degrees)


Rhombus Diagonal Theorem:

The diagonals of a rhombus are perpendicular.


Converse of the Rhombus Diagonal Theorem:

If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.


Rhombus Angle Bisector Theorem:

Each diagonal of a rhombus bisects a pair of opposite angles.


If a quadrilateral is both a rhombus and a rectangle, it is a ____________.

square


Isosceles Trapezoid Base Angles Theorem:

Both pairs of base angles of an isosceles trapezoid are congruent.


Isosceles Trapezoid Diagonal Theorem:

The diagonals of an isosceles trapezoid are congruent.


Trapezoid Median Theorem:

The median of a trapezoid is parallel to the bases, and its measure is onehalf the sum of the measures of the bases.
