Objectives : Recognize polygons Name polygons Recognize convex polygons Find diagonals of a...

Objectives: Recognize polygons Name polygons Recognize convex polygons Find diagonals of a polygon Identify special types of

quadrilaterals

5.4

Plane figures Consists only of segments Consecutive sides intersect at endpoints Consecutive sides are noncollinear

Start at any vertex then proceed either clockwise or counterclockwise

A B

F C

E D

convex – each interior angle has a measure less than 180°

Example: a) b)

For our class, we will be using only convex polygons unless the problem states otherwise.

5.4

diagonal – a segment that joins two nonconsecutive vertices

5.4

Quadrilateral: a four sided polygon

Parallelogram: a quadrilateral with both pairs of opposite sides parallel

Rectangle: a parallelogram with at least one right angle

Rhombus: a parallelogram with at least 2 consecutive congruent sides

Kite: a quadrilateral in which 2 pairs of consecutive sides are congruent, but opposite sides are not congruent *

5.4

Square: a parallelogram that is both a rectangle and a rhombus

Trapezoid: a quadrilateral with exactly 1 pair of parallel sides

Isosceles Trapezoid: a trapezoid with the non-parallel sides congruent

5.4