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Objectives: Recognize polygons Name polygons Recognize convex polygons Find diagonals of a polygon Identify special types of quadrilaterals 5. 4

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

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Page 1: Objectives :  Recognize polygons  Name polygons  Recognize convex polygons  Find diagonals of a polygon  Identify special types of quadrilaterals

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

quadrilaterals

5.4

Page 2: Objectives :  Recognize polygons  Name polygons  Recognize convex polygons  Find diagonals of a polygon  Identify special types of quadrilaterals

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

Page 3: Objectives :  Recognize polygons  Name polygons  Recognize convex polygons  Find diagonals of a polygon  Identify special types of quadrilaterals

Start at any vertex then proceed either clockwise or counterclockwise

A B

F C

E D

Page 4: Objectives :  Recognize polygons  Name polygons  Recognize convex polygons  Find diagonals of a polygon  Identify special types of quadrilaterals

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

Page 5: Objectives :  Recognize polygons  Name polygons  Recognize convex polygons  Find diagonals of a polygon  Identify special types of quadrilaterals

diagonal – a segment that joins two nonconsecutive vertices

5.4

Page 6: Objectives :  Recognize polygons  Name polygons  Recognize convex polygons  Find diagonals of a polygon  Identify special types of quadrilaterals

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

Page 7: Objectives :  Recognize polygons  Name polygons  Recognize convex polygons  Find diagonals of a polygon  Identify special types of quadrilaterals

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