Geometry-Chpt 6
Polygon
A plain figure that is formed by three or more segments called sides. Each side intersects two other sides at each of its endpoints
Parallelogram
A quadrilateral with both pairs of opposite sides parallel.
Diagonal
A segment that joins two nonconsecutive vertices of a polygon.
Base angles
A trapezoid has two pairs of base angles.
Isosceles trapezoid
A trapezoid where the legs are congruent.
Vertex
Each endpoint of the polygon
Octagon
Eight sided polygon
Pentagon
Five sided polygon
Quadrilateral
Four sided polygon
Square Corollary
If a quadrilateral has four congruent sides and four right angles, then it is a square.
Rhombus Corollary
If a quadrilateral has four congruent sides, then it is a rhombus.
Rectangle Corollary
If a quadrilateral has four right angles, then it is a rectangle.
Parallelogram Theorem 6.4
If a quadrilateral is a parallelogram, then its consecutive angles are supplementary.
Parallelogram Theorem 6.5
If a quadrilateral is a parallelogram, then its diagonals bisect each other.
Parallelogram Theorem 6.3
If a quadrilateral is a parallelogram, then its opposite angles are congruent.
Parallelogram Theorem 6.2
If a quadrilateral is a parallelogram, then its opposite sides are congruent.
Parallelogram Theorem 6.8
If an angle of a quadrilateral is supplementary to both of its consecutive angles, then the quadrilateral is a parallelogram.
Parallelogram Theorem 6.7
If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Parallelogram Theorem 6.6
If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Parallelogram Theorem 6.9
If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
Sides
Intersects exactly two other sides at each of its endpoints.
square
Is a parallelogram with four congruent sides and four right angles.
rhombus
Is a parallelogram with four congruent sides.
rectangle
Is a parallelogram with four right angles.
Trapezoid
Is a quadrilateral with exactly one pair of parallel sides.
Heptagon
Seven sided polygon
Hexagon
Six sided polygon
Rectangle Theorem 6.11
The diagonals of a rectangle are congruent.
Rhombus Theorem 6.10
The diagonals of a rhombus are perpendicular.
Legs
The non parallel sides are the legs.
Bases
The parallel sides of the trapezoid.
Quadrilateral interior angles theorem
The sum of the measures of the interior angles of a quadrilateral is 360°
Triangle
Three sided polygon
