geo 10.1

Lesson 10.1.notebook
April 11, 2016
Warm Up #1
Find the unknown side length in each right triangle with legs a and b and hypotenuse c.
1. a = 20, b = 21
2. b = 21, c = 35
3. a = 20, c = 52
c
a
b
Lesson 10.1.notebook
April 11, 2016
Chapter 10: Extending Perimeter, Circumference, and Area
What is Circumference?
Units matter in this chapter!
Know the difference between the units of Perimeter and Area.
1 ft.
1 sq. ft.
or
1 ft2
Lesson 10.1.notebook
April 11, 2016
GOALS
1) Develop and apply the formulas for the areas of triangles and special quadrilaterals.
2) Solve problems involving perimeters and areas of triangles and special quadrilaterals.
What Area and Perimeter Formulas do you already know?
Lesson 10.1.notebook
April 11, 2016
We can always come back to this when we don't remember the algorithm for finding the area of a figure.
Lesson 10.1.notebook
Rules for the chapter
1) Write the formula first! 2) Substitute the given information
3) Solve for the missing information
April 11, 2016
If the area of a triangle is 100 in2, and the base is 25 in, what is the height of the triangle?
Lesson 10.1.notebook
Remember that rectangles and squares are also parallelograms. April 11, 2016
Lesson 10.1.notebook
Finding Measurements of Parallelograms
Find the area of the parallelogram.
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Lesson 10.1.notebook
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Your Turn!
Find the base of the parallelogram in which h = 56 yd and A = 28 yd2.
Lesson 10.1.notebook
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Lesson 10.1.notebook
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Finding Measurements of Triangles and Trapezoids
Find the area of a trapezoid in which b1 = 8 in., b2 = 5 in., and h = 6.2 in.
Lesson 10.1.notebook
April 11, 2016
Finding Measurements of Triangles and Trapezoids
Find the base of the triangle, in which A = (15x2) cm2. Lesson 10.1.notebook
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Find the area of the trapezoid. Round to the nearest tenth.
12 cm
10 cm
60o
18 cm
Lesson 10.1.notebook
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Finding Measurements of Triangles and Trapezoids
Your Turn!
Find b2 of the trapezoid, in which A = 231 mm2.
Lesson 10.1.notebook
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Lesson 10.1.notebook
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Finding Measurements of Rhombuses and Kites
Find d2 of a kite in which d1 = 14 in. and A = 238 in2.
Lesson 10.1.notebook
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Finding Measurements of Rhombuses and Kites
Find the area of the kite.
20 in 16
in
25
in
Lesson 10.1.notebook
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A Rhombus has a perimeter of 40 cm. One of the diagonals is 16 cm long. Find the area of a rhombus.
Lesson 10.1.notebook
April 11, 2016
Finding Measurements of Rhombuses and Kites
Your Turn!
Find the area of the kite
Lesson 10.1.notebook
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Lesson 10.1.notebook
April 11, 2016
Lesson 10.1.notebook
Homework
10.1 pg 681 #1­8, 11, 13, 14, 15, 23­28
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Lesson 10.1.notebook
April 11, 2016