BellworkSolve for x

14

12 (5 3)6 A

11285 ( 3)5 b

Composition/Decomposition Activity

Section 11.2

BellworkA male punky fish has 9 stripes, while a female punky fish has 8 stripes. If the number of stripes on all the punky fish in a tank totals 86, what is the ratio of male fish to female fish?Two triangles of equal area have congruent sides as shown. Determine the degree measure of x, the smaller of the two vertex angles.

14

2xo

xo

Areas of Trapezoids, Rhombuses and Kites

Section 11.2

The Concept Yesterday we completed a worksheet that discussed

the idea of composition and decomposition of objects in order to find area

Today we’re going to look at how we can use this to develop and area formulas for each of the three objects

Review of shapes

b

hA bh

Parallelogram

b

h

1

2A bh

Triangle

Trapezoids, Kites & Rhombuses, oh my!

Let’s review these objects… Trapezoid

– Quadrilateral in which only two sides are parallel

Rhombus– Equilateral parallelogram

Kite– Quadrilateral with two pair of adjacent congruent sides

Trapezoid

b1

b2

h

11 22 ( )A b b h

Trapezoid Example

5

15

8

Find the area of the object below

Trapezoid Example

10

22

1212

Find the area of the object below

Rhombus

d1

d2

11 22A d d

Rhombus example

24

15

Find the area of the object below

Rhombus example

1010

60o

Find the area of the object below

Kite

d1

d2

11 22A d d

Kite Example

51

23.5

Find the area of the object below

Kite Example

20

Find the area of the object below

10 3

Homework

11.2 Exercises

1-12, 14-38 even, 44-46