Angle calculations a 72 0 21 0 Angles in a half turn = 180 0 Angles in a full turn = 360 0 162 0 b 135 0 Opposite angles are equal 153 0 c d e Angles.

Slides:



Advertisements
Similar presentations
Chapter 5: Properties of Polygons
Advertisements

Find the polygon… Click on the polygon..
$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200.
11.1 Angle Measures in Polygons
A polygon is a closed figure whose sides are line segments that intersect only at their endpoints. In a regular polygon , all the angles have the same.
Angles in a straight line and around a point
Objective: Know the sum of angles at a point, on a straight line and in a triangle. Vocabulary:
The Polygon Angle-Sum Theorems
Angles in Polygons.
Unit 2 Polygons In The Plane.
Exploring Polygons.
3.5 The Polygon Angle-Sum Theorems
All about Shapes.
L.O.1 To be able to recall the 9 times table and use it to derive associated number facts.
Multiplication and Division
£1 Million £500,000 £250,000 £125,000 £64,000 £32,000 £16,000 £8,000 £4,000 £2,000 £1,000 £500 £300 £200 £100 Welcome.
£1 Million £500,000 £250,000 £125,000 £64,000 £32,000 £16,000 £8,000 £4,000 £2,000 £1,000 £500 £300 £200 £100 Welcome.
Midterm Review Part II Midterm Review Part II 40.
Jeopardy Triangles Q $100 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200
The shapes below are examples of regular polygons
÷12=5 5x6=30 One half Half past twelve.
Carpentry & Joinery Phase 4 Module 2 Unit 4 Geometry Right Angle Triangle c a b 90° Sample Questions & Solutions.
Geometry 5 Level 1. Interior angles in a triangle.
Chapter 24 Polygons.
Interior and Exterior Angles of a Polygon Exterior Angle Interior Angle Interior Angle means inside angle Exterior Angle means outside angle To find the.
Angles Triangles, Quadrilaterals, Polygons. Remember Angles around a single point add up to
Interior angles of polygons This is just one of the six interior angles of this polygon.
POLYGONS 2D SHAPES. A Polygon is a closed figure made by joining line segments.  Which of the following figures is a polygon? A B C Why?
Angles and their rules.
Types of 2 D Shapes and There Properties 1)A shape with 3 sides is called a triangle 2)A shape with 4 sides is called a quadrilateral 3)The general term.
8.2 Angles in Polygons Polygon Number of sides Number of triangles Sum of measures of interior angles Triangle Quadrilateral Pentagon Hexagon Heptagon.
Identify the polygon by its sides... 1.Pentagon, regular 2.Quadrilateral, regular 3.Pentagon, not regular 4.Quadrilateral, not regular 0 30.
Types of Angles A reflex angle is more than 180° A right angle equals 90° 90 ° An acute angle is less than 90° An obtuse angle is more than 90 ° but less.
Polygons What are properties (rules) of the different types of Quadrilaterals?
Exploring.  Polygons are many-sided figures, with sides that are line segments.  Polygons are named according to the number of sides and angles they.
POLYGONS A polygon is a closed plane figure that has 3 or more sides.
Math 10 Geometry Unit Lesson (1) Properties of a Regular Polygon.
Polygons – Angles In Regular Polygons Regular Polygons have equal sides and equal angles, So if we can find one side, we would know the measure of all.
Lesson 5.2 Polygon Exterior Angle Sum HOMEWORK: 5.2/ 1-10.
Angles in regular polygons Be able to find the interior and exterior angles of any regular polygon Be able to calculate the number of sides from the interior.
$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.
The Interior Angles of Polygons. Sum of the interior angles in a polygon We’ve seen that a quadrilateral can be divided into two triangles … … and a pentagon.
Triangles.
POLYGONS ( except Triangles)
Angles in polygons.
Interior angles in a triangle
Lesson 3.3 Objective/Topic: Determine the sum of interior angles of a polygon. To determine the measures of exterior angles of a polygon. Essential Question:
Angles in regular polygons
Properties of Triangles
11.1 Angles Measures in a Polygon
Polygons 3 triangle 8 octagon 4 quadrilateral 9 nonagon pentagon 10
Properties of Geometric Shapes
d = 180°-120°= 60° (∠s on a straight line) = 130° f = 180°-130° = 50°
Calculate the size of the interior angles in a regular hexagon
Angles in Polygons.
Polygons – Angles In Regular Polygons
Learning Journey – Angles
Warm-up Find x a) b).
Classify the triangle by the angles and the sides.
Attributes Straight sides Closed figure 3 or more sides
ALWAYS add up to 360 degrees! No matter what polygon it is.
ANGLES ON A STRAIGHT LINE ADD UP TO 180°
Base Angles & Exterior Angles
Isosceles Triangles. Isosceles Triangles Base Angles If 2 angles in a triangle are congruent, then the sides opposite them are congruent.
Isosceles Triangles. Isosceles Triangles Base Angles If 2 angles in a triangle are congruent, then the sides opposite them are congruent.
5. Shape and Angles.
Module 15: Lesson 1 Interior & Exterior Angles
Angles in Polygons: Fill in the gaps
Presentation transcript:

Angle calculations a Angles in a half turn = Angles in a full turn = b Opposite angles are equal c d e Angles in a triangle = j F angles are equal 57 0 hi Z angles are equal 42 0 fg k l Angles in a quadrilateral = Angles in an isosceles triangle m 8080 Use the rules to work out all angles

Angles and polygons e e e c c c c c c ie Interior = e angles Angles at = 360 the centre No. of sides Exterior = 360 angles No. of sides There are 3 types of angles in regular polygons Calculate the value of c, e and i in regular polygons with 8, 9, 10 and 12 sides Answers: 8 sides = 45 0, 45 0, sides = 40 0, 40 0, sides = 36 0, 36 0, sides = 30 0, 30 0, To calculate the total interior angles of an irregular polygon divide it up into triangles from 1 corner. Then no. of x 180 Total i = 5 x 180 = 900 0