Chapter 6's Top 5 Concepts

Definitions

• Polygon - a many-sided figure made up of line segments. A polygon has vertices and is a closed figure.
• Convex - A polygon with all vertices outside the figure.
• Concave - A polygon with at least one vertex point outside the figure.

How to Prove Your Quadrilateral is a Kite

• there are two pairs of consecutive, congruent legs
• the diagonals are perpendicular ((negative reciprocal slopes))
• one pair of opposite angles is congruent

How to Prove Your Quadrilateral is a Isosceles Trapezoid

• there is one pair of parallel sides ((dentical slopes))
• consecutive base angles are supplimentary (( = 180 degrees))
• there is a pair of congruent, nonparallel sides ((distance formula))
• base angles are congruent
• diagonals are congruent ((distance formula))
• **midsegment - joins the midpoints of the legs and the length is half the sum of the bases