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28 Cards in this Set

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Parallelogram
A quadrilateral with both pairs of opposite sides parallel
Theorem 5-1
Opposite sides of a parallelogram are congruent
Theorem 5-2
Oppositeangles of a parallelogram are congruent
Theorem 5-3
Diagonals of a parallelogram bisect each other
Theorem 5-4
If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram
Theorem 5-5
If one pair of opposite sides of a quadrilateral are congruent, then the quadrilater is a parallelogram
Theorem 5-6
If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram
Theorem 5-7
If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram
Theorem 5-8
If 2 lines are parallel, then all points on one line are equidistant from the other line
Theorem 5-9
If 3 parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal
Theorem 5-10
A line that contains the midpoint of one side of a triangle and is parallel to another side, then it passes through the midpoint of the other side
Midsegment Theorem
The segment that joins the midpoint of a triangle is:
1. parallel to 3rd side
2. 1/2 as long as 3rd side
Rectangle
Quadrilateral with four right angles
Rhombus
Quadrilateral with four congruent sides
Square
Quadrilateral with four right angles and four congruent sides
Theorem 5-12
The diagonals of a rectangle are congruent
Theorem 5-13
The diagonals of a rhombus are perpendicular
Theorem 5-14
Each diagonal of a rhombus bisects two angles of the rhombus
Theorem 5-15
The midpoint of the hypotoneuse of a right triangle is equidistant from the three vertices
Theorem 5-16
If an angle of a parallelogram is a right angle, then the parallelogram is a rectangle
Theorem 5-17
If 2 consecutive sides of a parallelogram are congruent, then the parallelogram is a rhombus
Trapezoid
Quadrilateral with exactly one pair of parallel sides
Bases
Parallel sides in a trapezoid
Legs
Sides of a trapezoid
Isosceles trapezoid
Trapezoid with congruent legs
Theorem 5-18
Base angles of an isosceles trapezoid are congruent
Median of a trapezoid
Segment that joins the midpoints of the legs of a trapezoid
Theorem 5-19
The median of a trapezoid
1. is parallel to the bases
2. has a length equal to the average of the base lengths