## Presentation on theme: "Chapter 6: Quadrilaterals"— Presentation transcript:

In this chapter we will study the characteristics and properties of 6 different kinds of quadrilaterals: Parallelograms Trapezoids Rectangles Rhombi Squares Kites We will explore the essential characteristics of each of these shapes and use these characteristics to solve problems MA.912.G.3.1/ MA.912.G.3.3 / MA.912.G.3.4 Chapter 6: Quadrilerals

6.1: Polygon Angle-Sum Theorems
Interior Angles of any polygon follow the formula: 180(n-2) where “n” is the number of sides the polygon has. The exterior angles of any polygon always add to 360 Textbook Problems: Page 356 # 15, 16, 17, 27, 29, 30, 31, 45-48 6.1: Polygon Angle-Sum Theorems

6.2 and 6.3: Properties of Parallelograms and proving
Opposite Sides Congruent Opposite Angles Congruent Consecutive Angles Supplementary Diagonals Bisect Each Other Textbook Questions: Page 364# 25-27, 28-30, 38-40, 45-48 Page 374# 29-34 6.2 and 6.3: Properties of Parallelograms and proving

6.4 and 6.5: Rhombuses, Rectangles and Squares
Rhombus: a parallelogram with 4 congruent sides, perpendicular diagonals, diagonals bisect opposite angles Rectangle: a parallelogram with 4 right angles and congruent diagonals Square: a parallelogram with 4 congruent sides and 4 right angles, perpendicular diagonals, diagonals bisect opposite angles Textbook Questions: Page 382#55-61 Page388#32-34, 36-43 6.4 and 6.5: Rhombuses, Rectangles and Squares

6.6 and 6.7: Trapezoids and Kites
Trapezoid has 2 bases and 2 legs. If the legs are equal then the trapezoid is an isosceles trapezoid The Midsegment of a trapezoid is parallel to and in between the bases. It follows the formula MS= ½(b1+b2) Isosceles Trapezoid: 2 equal legs, equal diagonals Kite: 2 pairs of = sides, diagonals are perpendicular Textbook Copy Chart Page 393 Page 394 #29-36, 67-70 Page 412#38-40 diagonals bisect opposite angles 6.6 and 6.7: Trapezoids and Kites

Chapter 6 Review