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29 Cards in this Set
- Front
- Back
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diagonal of a polygon
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a segment that connects any two nonconsecutive vertices.
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Interior Sum Theorem
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If a convex polygon has n sides and S is the sum of the measures of its interior angles, then S = 180 (n - 2).
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Exterior Sum Theorem
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If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360 degrees.
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parallelogram
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a quadrilateral with both pairs of opposite sides parallel.
Symbols: ▱ABCD |
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Opposite sides of a parallelogram are...
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...congruent.
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Opposite angles of a parallelogram are...
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...congruent.
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Consecutive angles in a parallelogram are...
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...supplementary.
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If a parallelogram has one right angle, then...
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... it has 4 right angles.
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Diagonals of parallelograms...
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...bisects each other.
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Each diagonal of a parallelogram separates the parallelogram into...
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...2 congruent triangles.
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If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is ...
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...a parallelogram.
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If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is...
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...a parallelogram.
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If the diagonals of a quadrilateral bisect each other, then the quadrilateral is...
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...a parallelogram.
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If one pair of opposite sides of a quadrilateral is both parallel and congruent, then the quadrilateral...
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...a parallelogram.
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rectangle
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a parallelogram with 4 right angles
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If a parallelogram is a rectangle, then the diagonals...
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...are congruent.
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If the diagonals of a parallelogram are congruent, then...
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...it is a rectangle.
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rhombus
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a quadrilateral with all 4 sides congruent.
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The diagonals of a rhombus are...
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...perpendicular.
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If the diagonals of a parallelogram are perpendicular, then the parallelogram is...
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...a rhombus.
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Each diagonal of a rhombus...
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...bisects a pair of opposite angles.
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square
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a quadrilateral that is both a rhombus and a rectangle.
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kite
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a quadrilateral with exactly one pair of parallel sides.
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trapezoid
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isosceles trapezoid
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a trapezoid with congruent legs
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Both pairs of base angles of an isosceles trapezoid are...
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...congruent.
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The diagonals of an isosceles trapezoid are...
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...congruent.
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median or midsegment of a trapezoid
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the segment that joins the midpoint of the legs of a trapezoid.
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The median of a trapezoid is ___?____, and its measure is ____?____.
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The median is parallel to the bases, and its measure is one-half of the sum of the measures of the bases.
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