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Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a.

Dec 29, 2015

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Page 1: Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a.

Geometry

Page 2: Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a.

1215

96

10nWhat is the length of side ‘n’

in the triangle at the right?

Form ratios of corresponding sides:

Use any two ratios to form a proportion:15

10

12

n

12

n

15

10

9

6

Cross multiply to solve the proportion: 15n = 120

n = 8 units

Page 3: Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a.

bhA2

1 Area of a triangle

Area of a square / rectanglewlA

Area of a parallelogramhbA

Area of a trapezoidhbbA )(2

121

Page 4: Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a.

12 in.

25 in.

Page 5: Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a.

Volume of rectangular prism = l × w × h

Page 6: Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a.

Center

Diameter

Radius

Chord

Central Angle

Circumference

Page 7: Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a.

Diameter = 2r

Radius = ½ d

Page 8: Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a.

To find the area of a circle…

A = r²

5 cm

Find the area of the given circle. Use 3.14 for π

A = (3.14) (5)²

A = r²

A = (3.14) (25)

A ≈ 78.5 sq cm

Page 9: Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a.

10 cm

Find the area of the given circle. Leave your answer in terms of

A = (π) (5)²

A = r²

A = (π) (25)

A = 25π sq cm

Given diameter = 10 cmRadius = ½ dRadius = 5 cm

Page 10: Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a.

To find the circumference of a circle…

C = d

12 cm

Find the circumference of the given circle. Use 3.14 for π

C = (3.14) (24)

C = d

C = (3.14) (24)

C ≈ 75.36 cm

Page 11: Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a.

10 cm

Find the circumference of the given circle. Leave the answer in terms of

C = (π) (10)

C = d

C = (π) (10)

C = 10π cm

Page 12: Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a.

To find the area of the sector of a circle…

A = r² (central angle / 360)

4 cm

Find the area of the given sector. Use 3.14 for π

A = (3.14) (4)² (60 / 360)

A = r² (central angle / 360)

A = (3.14) (16) (1 / 6)

A ≈ 8.37 sq cm

60˚

Page 13: Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a.

20 cm

Find the area of the given sector. Leave your answer in terms of π

A = (π) (10)² (90 / 360)

A = r² (central angle / 360)

A = (π) (100) (1 / 4)

A = 25π sq cm

90˚

Page 14: Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a.

Diameter = C ÷ πCircumference = π d

Page 15: Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a.

Coordinate Plane

x-axis

y-axis

origin

Ordered Pair

(-5, 4)

x-coordinate

y-coordinate

Page 16: Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a.

To find the area of the

given polygon, count the number of

unit squares inside the polygon.

To find the area of the given

polygon, count the number of unit squares in the length and width. Then

use the formula to calculate the

area.

OR

66 sq units