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29 Cards in this Set

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diagonal of a polygon
a segment that connects any two nonconsecutive vertices.
Interior Sum Theorem
If a convex polygon has n sides and S is the sum of the measures of its interior angles, then S = 180 (n - 2).
Exterior Sum Theorem
If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360 degrees.
parallelogram
a quadrilateral with both pairs of opposite sides parallel.

Symbols: ▱ABCD
Opposite sides of a parallelogram are...
...congruent.
Opposite angles of a parallelogram are...
...congruent.
Consecutive angles in a parallelogram are...
...supplementary.
If a parallelogram has one right angle, then...
... it has 4 right angles.
Diagonals of parallelograms...
...bisects each other.
Each diagonal of a parallelogram separates the parallelogram into...
...2 congruent triangles.
If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is ...
...a parallelogram.
If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is...
...a parallelogram.
If the diagonals of a quadrilateral bisect each other, then the quadrilateral is...
...a parallelogram.
If one pair of opposite sides of a quadrilateral is both parallel and congruent, then the quadrilateral...
...a parallelogram.
rectangle
a parallelogram with 4 right angles
If a parallelogram is a rectangle, then the diagonals...
...are congruent.
If the diagonals of a parallelogram are congruent, then...
...it is a rectangle.
rhombus
a quadrilateral with all 4 sides congruent.
The diagonals of a rhombus are...
...perpendicular.
If the diagonals of a parallelogram are perpendicular, then the parallelogram is...
...a rhombus.
Each diagonal of a rhombus...
...bisects a pair of opposite angles.
square
a quadrilateral that is both a rhombus and a rectangle.
kite
a quadrilateral with exactly one pair of parallel sides.
trapezoid
isosceles trapezoid
a trapezoid with congruent legs
Both pairs of base angles of an isosceles trapezoid are...
...congruent.
The diagonals of an isosceles trapezoid are...
...congruent.
median or midsegment of a trapezoid
the segment that joins the midpoint of the legs of a trapezoid.
The median of a trapezoid is ___?____, and its measure is ____?____.
The median is parallel to the bases, and its measure is one-half of the sum of the measures of the bases.