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29 Cards in this Set
- Front
- Back
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Quadrilateral
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A four-sided polygon.
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Parallelogram
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A quadrilateral with both pairs of opposite sides parallel.
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If a quadrilateral is a parallelogram, then both pairs of opposite sides are...
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congruent and parallel.
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If a quadrilateral is a parallelogram, then both pairs of opposite angles are...
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congruent.
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If a quadrilateral is a parallelogram, then its diagonals...
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bisect each other.
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If a quadrilateral is a parallelogram, then its consecutive angles are...
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supplementary.
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Parallelogram Opposite Sides Theorem:
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Opposite sides of a parallelogram are congruent.
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Parallelogram Opposite Angles Theorem:
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Opposite angles of a parallelogram are congruent.
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Parallelogram Consecutive Angles Theorem:
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Consecutive angles of a parallelogram are supplementary.
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Parallelogram Diagonals Theorem:
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The diagonals of a parallelogram bisect each other.
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Quadrilateral Parallel and Congruent Sides Theorem:
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If one pair of opposite sides of a quadrilateral is both parallel and congruent, then the quadrilateral is a parallelogram.
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Converse of the Quadrilateral Opposite Sides Theorem:
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If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
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Converse of the Quadrilateral Opposite Angles Theorem:
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If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
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Converse of the Quadrilateral Diagonals Theorem:
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If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
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Opposite, Parallel, Congruent Theorem:
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If one pair of opposite sides of a quadrilateral is both parallel and congruent, then the quadrilateral is a parallelogram.
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Rectangle Theorem:
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If a parallelogram is a rectangle, then its diagonals are congruent.
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Converse of the Rectangle Theorem:
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If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.
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If a quadrilateral is a rectangle, then opposite sides are ___________ and _____________.
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congruent and parallel
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If a quadrilateral is a rectangle, then opposite angles are ____________.
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congruent
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If a quadrilateral is a rectangle, then consecutive angles are ___________.
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supplementary
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If a quadrilateral is a rectangle, then diagonals are ______________ and ______________ each other
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congruent and bisect
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If a quadrilateral is a rectangle, then all four angles are ___________.
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right (90 degrees)
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Rhombus Diagonal Theorem:
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The diagonals of a rhombus are perpendicular.
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Converse of the Rhombus Diagonal Theorem:
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If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.
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Rhombus Angle Bisector Theorem:
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Each diagonal of a rhombus bisects a pair of opposite angles.
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If a quadrilateral is both a rhombus and a rectangle, it is a ____________.
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square
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Isosceles Trapezoid Base Angles Theorem:
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Both pairs of base angles of an isosceles trapezoid are congruent.
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Isosceles Trapezoid Diagonal Theorem:
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The diagonals of an isosceles trapezoid are congruent.
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Trapezoid Median Theorem:
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The median of a trapezoid is parallel to the bases, and its measure is one-half the sum of the measures of the bases.
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