Section 1

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polygon

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Last updated

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Date created

Mar 14, 2020

Cards (43)

Section 1

(43 cards)

polygon

Front

A closed plane figure made up of line segments

Back

convex polygon

Front

a polygon such that no line containing a side of the polygon contains a point in the interior of the polygon

Back

Square

Front

A parallelogram with four congruent sides and four right angles.

Back

Rhombus

Front

A parallelogram with four congruent sides

Back

Rectangle

Front

A parallelogram with four right angles

Back

kite

Front

a quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent

Back

Rectangle Diagonals Theorem

Front

a parallelogram is a rectangle if and only if its diagonals are congruent

Back

segment bisector

Front

a segment, ray, line, or plane that intersects a segment at its midpoint

Back

Parallelogram Opposite Angles Theorem

Front

If a quadrilateral is a parallelogram, then its opposite angles are congruent

Back

Parallelogram Opposite Angles Converse

Front

if both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram

Back

Isosceles Trapezoid Diagonals Theorem

Front

A trapezoid is isosceles if and only if its diagonals are congruent.

Back

exterior angles of a polygon

Front

The angles outside a polygon that are adjacent to the interior angles

Back

Kite Diagonals Theorems

Front

If a quadrilateral is a kite, then its diagonals are perpendicular.

Back

Isosceles Trapezoid Base Angles Theorem

Front

If a trapezoid is isosceles, then each pair of base angles is congruent.

Back

bases of a trapezoid

Front

the parallel sides of a trapezoid

Back

Opposite Sides Parallel and Congruent Theorem

Front

If one pair of opposites sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram

Back

equiangular polygon

Front

a polygon in which all angles are congruent

Back

Rectangle Corollary

Front

A quadrilateral is a rectangle if and only if it has four right angles

Back

legs of a trapezoid

Front

the nonparallel sides of a trapezoid

Back

Isosceles Trapezoid Base Angles Converse

Front

If a trapezoid has a pair of congruent base angles, then it is an isosceles trapezoid.

Back

Parallelogram Opposite Sides Converse

Front

if both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram

Back

Polygon Exterior Angles Theorem

Front

The sum of the measures of the exterior angles of a convex polygon, one angle at each vertex, is 360 degrees.

Back

Parallelogram Opposite Sides Theorem

Front

If a quadrilateral is a parallelogram, then its opposite angles are congruent

Back

Parallelogram

Front

A quadrilateral with two pairs of parallel sides

Back

Isosceles Trapezoid

Front

a trapezoid with congruent legs

Back

Parallelogram Consecutive Angles Theorem

Front

If a quadrilateral is a parallelogram, then its consecutive angles are supplementary.

Back

Rhombus Opposite Angles Theorem

Front

A parallelogram is a rhombus if and only if each diagonal bisects a pair of opposite angles.

Back

Diagonal

Front

(geometry) a straight line connecting any two vertices of a polygon that are not adjacent

Back

Corollary to the Polygon Interior Angles Theorem

Front

The sum of the measures of the interior angles of a quadrilateral is 360 degrees.

Back

Trapezoid Midsegment Theorem

Front

The midsegment of a trapezoid is parallel to each base, and its length is one half the sum of the lengths of the bases

Back

quadrilateral

Front

a four-sided polygon

Back

Rhombus Corollary

Front

A quadrilateral is a rhombus if and only if it has four congruent sides

Back

midsegment of a trapezoid

Front

a segment that connects the midpoints of the legs of a trapezoid

Back

Trapezoid

Front

A quadrilateral with exactly one pair of parallel sides

Back

Polygon Interior Angles Theorem

Front

The sum of the measures of the interior angles of a convex n-gon is (n-2)*180.

Back

interior angles of a polygon

Front

angles inside of a polygon

Back

Rhombus Diagonals Theorem

Front

A parallelogram is a rhombus if and only if its diagonals are perpendicular.

Back

Parallelogram Diagonals Theorem

Front

If a quadrilateral is a parallelogram, then its diagonals bisect each other.

Back

Kite Opposite Angles Theorem

Front

If a quadrilateral is a kite, then exactly one pair of opposite angles are congruent.

Back

equilateral polygon

Front

a polygon in which all sides are congruent

Back

Parallelogram Diagonals Converse

Front

If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

Back

Square Corollary

Front

A quadrilateral is a square if and only if it is a rhombus and a rectangle.

Back

regular polygon

Front

a polygon that is both equilateral and equiangular

Back