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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 onehalf of the sum of the measures of the bases.
