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Geometry Ch 6 Fitch FMS

Terms in this set (46)

6-1 Polygon
2-dimensional plane figure (planar), closed, shape made of straight lines. Poly = many; gon = angle
6-1 Equilateral Polygon
A polygon whose sides are all congruent.
6-1 Equiangular Polygon
A polygon whose angles are all congruent.
6-1 Regular Polygon
A polygon that is BOTH equilateral and equiangular
6-1 Diagonal
Connects 2 non-consecutive vertices
6-1 Convex Polygon
A polygon whose diagonals contain no points outside the polygon. Every interior angle is < 180 degrees.
6-1 Concave Polygon
A polygon whose diagonals contain points outside the polygon. At least one interior angle is > 180 degrees.
6-1 Quadrilateral
Polygon with 4 sides, 4 vertices
6-1 Polygon
2-dimensional plane figure (planar), closed, shape made of straight lines. Poly = many; gon = angle
6-1 Hexagon
6-sided polygon
6-1 Octagon
8-sided polygon
6-1 Decagon
10-sided polygon
6-1 N-gon
n-sided polygon
6-1 27-gon
27-sided polygon
6-1 The SUM of the INTERIOR angles of a convex polygon with n sides
(n-2)180 degrees
6-1 Interior angles: 3 sides = 180, 4 sides = 360, 5 sides = 540. Therefore...
add 180 degrees for each new side
6-1 The measure of EACH INTERIOR angle of an equiangular or regular polygon
(n-2)180 / n degrees
6-1 The SUM of the EXTERIOR angles of a convex polygon (one at each vertex)
360 degrees
6-1 The measure of EACH EXTERIOR angle of an equiangular or regular polygon (one at each vertex)
360 / n degrees
6-2 Parallelogram
A quadrilateral with both pairs of opposite sides parallel
6-2 Opposite Sides
Across from each other; do not share a vertex
6-2 The opposite sides of a parallelogram are...
parallel and congruent
6-2 Opposite Angles
Across from each other; do not share a side
6-2 The opposite angles of a parallelogram are...
congruent
6-2 Consecutive Angles
Share a side
6-2 The consecutive angles of a parallelogram are...
supplementary
6-2 The diagonals of a parallelogram...
bisect each other
6-2 Properties of Parallelograms
Both pairs of opposite sides are parallel; Both pairs of opposite sides are congruent; Both pairs of opposite angles are congruent; Any 2 consecutive angles are supplementary; Both diagonals bisect each other; One pair of opposite sides are congruent AND parallel
6-4 Rhombus
A parallelogram with four congruent sides
6-4 Rectangle
A parallelogram with four right angles
6-4 Square
A parallelogram with four congruent sides and four right angles
6-4 Relationships between Special Parallelograms (Rhombus, Rectangle, Square)
All squares are rectangles and rhombi/rhombuses. Not all rectangles and rhombi/rhombuses are squares.
6-4 The diagonals of a rhombus...
are perpendicular; bisect opposite angles; bisect each other
6-4 The diagonals of a rectangle...
are congruent; bisect each other
6-4 The diagonals of a square...
are congruent; are perpendicular; bisect opposite angles; bisect each other
6-6 Trapezoid
A quadrilateral with exactly one pair of parallel sides. Not a parallelogram.
6-6 Bases of a trapezoid
the parallel sides
6-6 Legs of a trapezoid
the nonparallel sides
6-6 Base angles of a trapezoid
2 angles that share a base. There are 2 pairs of base angles.
6-6 The consecutive angles between the bases of a trapezoid are...
supplementary
6-6 The midsegment of a trapezoid is parallel to the bases and equal in length to...
the average/mean of the bases
6-6 Isosceles Trapezoid
A trapezoid with congruent legs
6-6 The base angles of an isosceles trapezoid are...
congruent
6-6 The diagonals of an isosceles trapezoid are...
congruent
6-6 Kite
A quadrilateral with two pairs of consecutive congruent sides and no opposite congruent sides. Not a parallelogram.
6-6 The diagonals of a kite are...
perpendicular
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