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23 Cards in this Set
- Front
- Back
Theorem 24
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The sum of the angles of a quadrilateral is 360 degrees.
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Corollary: Theorem 24
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A quadrilateral is equiangular iff it is a rectangle.
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Theorem 25
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The opposite sides and angles of a parallelogram bisect each other.
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Theorem 26
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The diagonals of a parallelogram bisect each other.
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Theorem 27
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A quadrilateral is a parallelogram if its opposite sides are equal.
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Theorem 28
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A quadrilateral is a parallelogram if its opposite angles are equal
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Theorem 29
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A quadrilateral is a parallelogram if two opposite sides are both parallel and equal.
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Theorem 30
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A quadrilateral is a parallelogram if its diagonals bisect each other.
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Theorem 31
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All rectangles are parallelograms.
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Theorem 32
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All rhombuses are parallelograms.
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Theorem 33
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The diagonals of a rectangle are equal.
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Theorem 34
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The diagonals of a rhombus are equal.
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Theorem 35
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The base angles of an isosceles trapezoid are equal.
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Theorem 36
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The base diagonals of an isosceles trapezoid are equal.
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Theorem 37: The Midsegment Theorem
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A midsegment of a triangle is parallel to the third side and half as long.
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Convex and concave polygons
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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.
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Diagonal
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A diagonal of a polygon is a line segment that connects any two nonconsecutive vertices.
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Parallelogram
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A parallelogram is a quadrilateral whose opposite sides are parallel.
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Point symmetry
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Two points are symmetric with respect to a point iff it is the midpoint of the line segment joining them.
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Rectangle
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A rectangle is a quadrilateral each of whose angles is a right angle.
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Rhombus
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A rhombus is a quadrilateral all of whose sides are equal.
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Square
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A square is a quadrilateral all of whose sides and angles are equal.
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Trapezoid
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A trapezoid is a quadrilateral that has exactly one pair of parallel sides.
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