Ms. King’s Little Book of Geometry Notes Period ___

Essential Question “Our Goal” Can I classify angles? SPI:

Table of Contents 1.Types of Angles 2.Triangle and Quadrilateral 3.Pentagon and Hexagon 4.Heptagon and Octagon 5.Nonagon and Decagon 6.Interior Angle Sum Theorem 7.Missing Interior Angles 8.Exterior Angles Sum 9.Missing Exterior Angles 10.Circles: Radius and Diameter 11.Circles: π and Circumference 12.Circles: Area 13.Surface Area: Cylinder 14.Surface Area: Pyramids 15.Surface Area: Prisms 16.Volume: Cylinder 17.Volume: Pyramids 18.Volume: Prisms 1 Types of Angles

ACUTE Less than 90˚ Essential Question: Can I classify angles? SPI:

ACUTE Less than 90˚ OBTUSE Greater than 90˚; less than 180˚

ACUTE Less than 90˚ OBTUSE Greater than 90˚; less than 180° RIGHT Exactly 90˚

ACUTE Less than 90˚ OBTUSE Greater than 90˚; less than 180° RIGHT Exactly 90˚ STRAIGHT Exactly 180˚

ACUTE Less than 90˚ OBTUSE Greater than 90˚; less than 180° RIGHT Exactly 90˚ STRAIGHT Exactly 180˚ COMPLEMENTARY: 90˚ COMPLEMENTARY: 2 or more Angles that add up to 90˚

ACUTE Less than 90˚ OBTUSE Greater than 90˚; less than 180˚ RIGHT Exactly 90˚ STRAIGHT Exactly 180˚ COMPLEMENTARY: 90˚ COMPLEMENTARY: 2 or more Angles that add up to 90˚ SUPPLEMENTARY: 180˚ SUPPLEMENTARY: 2 or more Angles that add up to 180˚

TYPE OF ANGLES Name the type of angle shown: 142˚

TYPE OF ANGLES Name the type of angle shown: 27˚

TYPE OF ANGLES Name the type of angle shown:

TYPE OF ANGLES Name the type of angle shown: 180˚

TYPE OF ANGLES Name the type of angle shown: What does angle x equal? 71˚ x˚x˚

TYPE OF ANGLES Name the type of angle shown: What does angle x equal? 37˚ x˚x˚

TYPE OF ANGLES Name the type of angle shown: 128˚ x˚x˚ What does angle x equal?

TYPE OF ANGLES Name the type of angle shown: 152˚x˚x˚ What does angle x equal?

Exit Card Quiz 1.Which type of angle is less than 90°? 2.Which type of angle is equal to 180°? 3.Which type of angle is greater than 90° but less than 180°? 4.Which type of angle is equal to 90°? 5.What is the complementary angle to 62°? 6.What is the value of x? 57°21° x°x°

Ms. King’s Little Book of Geometry Notes Period ___

Essential Question “Our Goal” How do you find a missing angle measure in problems invovling interior/exterior angles and/or their sums? SPI:

Geometry Notes Triangle * 3 sided POLYGON Number of Angles: 3 Interior Angle Sum: _____ Quadrilateral * 4 sided Polygon Number of Angles: 4 Interior Angle Sum: _____ 2

Geometry Notes Pentagon * 5 sided POLYGON Number of Angles: 5 Interior Angle Sum: ___ Hexagon * 6 sided POLYGON Number of Angles: 6 Interior Angle Sum: ___ 3

Geometry Notes Heptagon * 7 sided POLYGON Number of Angles: 7 Interior Angle Sum: ___ Octagon * 8 sided POLYGON Number of Angles: 8 Interior Angle Sum: ___ 4

Geometry Notes Nonagon * 9 sided POLYGON Number of Angles: 9 Interior Angle Sum: ___ Decagon * 10 sided POLYGON Number of Angles: 10 Interior Angle Sum: ___ 5

Interior Angle Sum Theorem FORMULA: n = (number of sides) (n – 2) 180 = the total amount of degrees inside (INTERIOR) each type of polygon 6

Missing INTERIOR Angles *To find a missing interior angle… Take away all of the angles you do know from the interior angle sum. Example 1: TRIANGLE (Interior Angle Sum is 180˚) x = 180˚ Example 2: QUADRILATERAL (Interior Angle Sum is 360˚) X = 360˚ 37˚ 105˚ x˚x˚ 32˚ 123˚ 45˚ X˚X˚ 7

QUICK PRACTICE What is the sum of the INTERIOR angles? What is the missing angle x? ____________ 121˚115˚ 126˚ 127˚ 118˚X˚X˚

QUICK PRACTICE What is the sum of the INTERIOR angles? What is the missing angle x? ____________ X˚X˚ 101˚ 112˚106˚ 110˚

EXIT CARD Find the missing angle in each polygon: 1. (n – 2) 180 x = ________ 2. x = ________ 123˚ 134˚ 67˚ x˚x˚ 112˚ 87˚ 151˚ 75˚ x˚x˚