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Chapter 5
Honors Geometry Chapter 5
25
Mathematics
9th Grade
10/05/2010

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Term
Theorem 5.1 (Don't call it this!)
Definition
Opposite sides of a parallelogram are congruent.
Term
Theorem 5.2 (Don't call it this!)
Definition
Opposite angles of a parallelogram are congruent.
Term
Theorem 5.3 (Don't call it this!)
Definition
Diagonals of a parallelogram bisect each other.
Term
Theorem 5.4 (Don't call it this!)
Definition
If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Term
Theorem 5.5 (Don't call it this!)
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 (Don't call it this!)
Definition
If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Term
Theorem 5.7 (Don't call it this!)
Definition
If the diagonals of a quadrilateral bisect each other, thne the quadrilateral is a parallelogram.
Term
Theorem 5.8 (Don't call it this!)
Definition
If two lines are parallel, then all points on one line are equidistant from the other line.
Term
Theorem 5.9 (Don't call it this!)
Definition
If three parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal.
Term
Theorem 5.10 (Don't call it this!)
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 (Don't call it this!)
Definition
The segment that joins the midpoints of two sides of a triangle is
1: parallel to the third side.
2: half as long as the third side.
Term
Theorem 5.12 (Don't call it this!)
Definition
The diagonals of a rectangle are congruent.
Term
Theorem 5.13 (Don't call it this!)
Definition
The diagonals of a rhombus are perpendicular.
Term
Theorem 5.14 (Don't call it this!)
Definition
Each diagonal of a rhombus bisects two angles of the rhombus.
Term
Theorem 5.15 (Don't call it this!)
Definition
The midpoint of the hypotenuse of a right triangle is equidistant from the three vertices.
Term
Theorem 5.16 (Don't call it this!)
Definition
If an angle of a parallelogram is a right angle, then the parallelogram is a rectangle.
Term
Theorem 5.17 (Don't call it this!)
Definition
If two consecutive sides of a parallelogram are congruent, then the parallelogram is a rhombus.
Term
Theorem 5.18 (Don't call it this!)
Definition
Base angles of an isosceles trapezoid are congruent.
Term
Theorem 5.19 (Don't call it this!)
Definition
The median of a trapezoid:
1: is parallel to the base.
2: has a length equal to the average of the base lengths.
Term
Definition of a rectangle
Definition
A quadrilateral with four right angles.
Term
Definition of a rhombus
Definition
A quadrilateral with four congruent sides.
Term
Definition of a square
Definition
A quadrilateral with four right angles and four congruent sides.
Term
Definition of a trapezoid
Definition
A quadrilateral with exactly one pair of parallel sides.
Term
Definition of an isosceles trapezoid
Definition
A trapezoid with congruent legs.
Term
Definition of a kite
Definition
A quadrilateral that has two pairs of congruent sides, but opposite sides are not congruent.
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