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Geometry Unit 8

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
Parallelogram   a quadrilateral with both pairs of opposite sides parallel.  
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Rhombus   a parallelogram with four congruent sides.  
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Rectangle   a parallelogram with four right angles.  
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Square   a parallelogram with four congruent sides and four right angles.  
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Kite   a quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent.  
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Trapezoid   a quadrilateral with exactly one pair of parallel sides.  
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Isosceles Trapezoid   a trapezoid whose nonparallel opposite sides are congruent.  
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Theorem 6.1   Opposite sides of a parallelogram are congruent.  
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Theorem 6.2   Opposite angles of a parallelogram are congruent.  
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Theorem 6.3   The diagonals of a parallelogram bisect each other.  
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Theorem 6.4   If three (or more) parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal.  
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Theorem 6.5   If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.  
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Theorem 6.6   If one pair of opposite sides of a quadrilateral is both congruent and parallel, then the quadrilateral is a parallelogram.  
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Theorem 6.7   If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.  
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Theorem 6.8   If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.  
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Theorem 6.9   Each diagonal of a rhombus bisects two angles of the rhombus.  
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Theorem 6.10   The diagonals of a rhombus are perpendicular.  
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Theorem 6.11   The diagonals of a rectangle are congruent.  
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Theorem 6.12   If one diagonal of a parallelogram bisects two angles of the parallelogram, then the parallelogram is a rhombus.  
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Theorem 6.13   If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.  
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Theorem 6.14   If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.  
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Base angles of a trapezoid   Two angles that share a base of a trapezoid.  
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Theorem 6.15   The base angles of an isosceles trapezoid are congruent.  
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Theorem 6.16   The diagonals of an isosceles trapezoid are congruent.  
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Theorem 6.17   The diagonals of a kite are perpendicular.  
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Midsegment of a trapezoid   The segment that joins the midpoints of the nonparallel opposite sides.  
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Trapezoid Midsegment Theorem   1) The midsegment of a trapezoid is parallel to the bases.2) The length of the midsegment of a trapezoid is half the sum of the lengths of the bases.  
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