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23 Cards in this Set

  • Front
  • Back
Theorem 24
The sum of the angles of a quadrilateral is 360 degrees.
Corollary: Theorem 24
A quadrilateral is equiangular iff it is a rectangle.
Theorem 25
The opposite sides and angles of a parallelogram bisect each other.
Theorem 26
The diagonals of a parallelogram bisect each other.
Theorem 27
A quadrilateral is a parallelogram if its opposite sides are equal.
Theorem 28
A quadrilateral is a parallelogram if its opposite angles are equal
Theorem 29
A quadrilateral is a parallelogram if two opposite sides are both parallel and equal.
Theorem 30
A quadrilateral is a parallelogram if its diagonals bisect each other.
Theorem 31
All rectangles are parallelograms.
Theorem 32
All rhombuses are parallelograms.
Theorem 33
The diagonals of a rectangle are equal.
Theorem 34
The diagonals of a rhombus are equal.
Theorem 35
The base angles of an isosceles trapezoid are equal.
Theorem 36
The base diagonals of an isosceles trapezoid are equal.
Theorem 37: The Midsegment Theorem
A midsegment of a triangle is parallel to the third side and half as long.
Convex and concave polygons
A polygon is convex if, for each pair of points inside a polygon, the line segment connecting them lies entirely inside the polygon. A polygon is concave if, for a pair of points inside the polygon, the line segment connecting them does not lie entirely inside the polygon.
Diagonal
A diagonal of a polygon is a line segment that connects any two nonconsecutive vertices.
Parallelogram
A parallelogram is a quadrilateral whose opposite sides are parallel.
Point symmetry
Two points are symmetric with respect to a point iff it is the midpoint of the line segment joining them.
Rectangle
A rectangle is a quadrilateral each of whose angles is a right angle.
Rhombus
A rhombus is a quadrilateral all of whose sides are equal.
Square
A square is a quadrilateral all of whose sides and angles are equal.
Trapezoid
A trapezoid is a quadrilateral that has exactly one pair of parallel sides.