CALEY Chapter 5: Quadrilaterals

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Created by:

tkawamoto Plus on November 5, 2010

Subjects:

geometry

Classes:

CALEY Geometry

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CALEY Chapter 5: Quadrilaterals

Opposite sides of a parallelogram are congruent.
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Opposite sides of a parallelogram are congruent.
Opposite angles of a parallelogram are congruent.
Diagonals of a parallelogram bisect each other.
Definition of a parallelogram.
Definition of a parallelogram.
Definition of parallelogram
If both pairs of opposite sides of a quadrilateral are congruent, 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.
If diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
Definition of segment bisector
If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
If two lines are parallel, then all points on one line are equidistant from the other line.
If three parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal.
A line that contains the midpoint of one side of a triangle and is parallel to another side passes through the midpoint of the third side.
The segment that joins the midpoints of two sides of a triangle is parallel to the third side.
The segment that joins the midpoint of two sides of a triangle is half as long as the third side.
Definition of rectangle.
Definition of square
Definition of rhombus
The diagonals of a rectangle are congruent.
The diagonals of a rhombus are perpendicular.
Each diagonal of a rhombus bisects two angles of the rhombus.
The midpoint of the hypotenuse of a right triangle is equidistant from the three vertices.
If an angle of a parallelogram is a right angle, then the parallelogram is a rectangle.
If two consecutive sides of a parallelogram are congruent, then the parallelogram is a rhombus.
The median of a trapezoid is parallel to the bases.
The median of a trapezoid has a length equal to the average of the base lengths.
Base angles of an isosceles trapezoid are congruent.

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