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28 Cards in this Set
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 Back
Parallelogram

A quadrilateral with both pairs of opposite sides parallel


Theorem 51

Opposite sides of a parallelogram are congruent


Theorem 52

Oppositeangles of a parallelogram are congruent


Theorem 53

Diagonals of a parallelogram bisect each other


Theorem 54

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


Theorem 55

If one pair of opposite sides of a quadrilateral are congruent, then the quadrilater is a parallelogram


Theorem 56

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


Theorem 57

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


Theorem 58

If 2 lines are parallel, then all points on one line are equidistant from the other line


Theorem 59

If 3 parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal


Theorem 510

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 512

The diagonals of a rectangle are congruent


Theorem 513

The diagonals of a rhombus are perpendicular


Theorem 514

Each diagonal of a rhombus bisects two angles of the rhombus


Theorem 515

The midpoint of the hypotoneuse of a right triangle is equidistant from the three vertices


Theorem 516

If an angle of a parallelogram is a right angle, then the parallelogram is a rectangle


Theorem 517

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 518

Base angles of an isosceles trapezoid are congruent


Median of a trapezoid

Segment that joins the midpoints of the legs of a trapezoid


Theorem 519

The median of a trapezoid
1. is parallel to the bases 2. has a length equal to the average of the base lengths 