# Shared Flashcard Set

## Details

Chapter 5 - Geometry
N/a
23
Mathematics
11/16/2012

Term
 Parallelogram
Definition
 A parallelogram is a quadrilateral with both pairs of opposite sides parallel.
Term
 Theorem 5-1
Definition
 Opposite sides of a parallelogram are congruent.
Term
 Theorem 5-2
Definition
 Opposite sides of a parallelogram are parallel.
Term
 Theorem 5-3
Definition
 Diagonals of a parallelogram bisect each other.
Term
 Theorem 5-4
Definition
 If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Term
 Theorem 5-5
Definition
 If one pair of opposite sides of a quadrilateral are both congruent and parallel, then the quadrilateral is a parallelogram.
Term
 Theorem 5-6
Definition
 If both pairs of opposite angle of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Term
 Theorem 5-7
Definition
 If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
Term
 Theorem 5-8
Definition
 If two lines are parallel, then all points on one line are equidistant from the other lines.
Term
 Theorem 5-9
Definition
 If three parallel lines cut of congruent segments on one transversal, then they cut off congruent segments on every transversal.
Term
 Theorem 5-10
Definition
 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.
Term
 Theorem 5-11
Definition
 The segment that joins the midpoints of two sides of a triangle:1) is parallel to the third side;2) is half as long as the third side.
Term
 Rectangle
Definition
 4 right angle
Term
 Rhombus
Definition
 4 congruent sides
Term
 Square
Definition
 4 right angles and 4 congruent sides
Term
 Theorem 5-12
Definition
 The diagonals of a rectangle are congruent.
Term
 Theorem 5-13
Definition
 The diagonals of a rhombus are perpendicular.
Term
 Theorem 5-14
Definition
 Each diagonal of a rhombus bisects two angles of the rhombus.
Term
 Theorem 5-15
Definition
 The midpoint of the hypotenuse of a right triangle is equidistant from the three vertices.
Term
 Theorem 5-16
Definition
 If an angle of a parallelograms is a right angle, then the parallelogram is a rectangle.
Term
 Theorem 5-17
Definition
 If two consecutive sides of a parallelogram are congruent, then the parallelogram is a rhombus.
Term
 Theorem 5-18
Definition
 Base angles of an isosceles trapezoid are congruent.
Term
 Theorem 5-19
Definition
 The median of a trapezoid:1) is parallel to the bases;2) has a length equal to the average of the base length.
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