Properties of Triangles
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- Berenice Hamilton
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1 Starter 1) Solve 4sin(x) - 1 = 0 for 0 < x < 360 2) Properties of Triangles Today we are learning... The properties and types of triangles. I will know if I have been successful if... I can identify and name special triangles. I can find interior angles of a triangle. I can find exterior angles of a triangle.
2 Scalene Triangle Isosceles Triangle
3 Equilateral Triangle Interior and Exterior Angles of a Triangle a, b and c are called the interior angles. a + b + c = 180 d is an example of one exterior angle. o
4 Example Drawn below is an isosceles triangle. Find all the missing angles. 34 o Practice - Find the Missing Angles
5 Plenary - 2 Exam Questions Today we are learning... Properties of Polygons About the properties of polygons and their interior angles. I will know if I have been successful if... I can identify a polygon. I can find the sum of the interior angles of a polygon. I can find a relationship between the number of sides and the sum of the interior angles.
6 Polygons Investigation Vertices No. of Triangles Sum of Interior Angles x 180 = 540 o
7 Conclusion Sum of Interior Angles in a n Sided Polygon = (n - 2) x 180 Practice (8) (9)
8 Summary Starter 1) Solve 4tan(x) - 3 = 0 for 0 < x < 360 2) Find the missing angles x and y.
9 Properties of Quadrilaterals Today we are learning... How to find missing angles in quadrilaterals. I will know if I have been successful if... I am able to identify and name common quadrilaterals. I can identify F, X and Z angles. I can find missing angles in quadrilaterals. Quadrilaterals A quadrilateral is a shape made of four straight lines. The sum of the four angles of a quadrilateral is 360 ọ
10 Special Quadrilaterals F Angles x x
11 F Angle Example Find the missing angle g. g 38 o X Angles y x x y
12 X Angle Example Find the missing angle a o o 114 a Z Angles x x
13 Z Angle Example Find the missing angles a and b. a b 26 o Summary Find the missing angles q, s and r in the quadrilateral... r = 107 q = 73 s = 62
14 Properties of Quadrilaterals Today we are learning... How to find missing angles in quadrilaterals. I will know if I have been successful if... I am able to identify and name common quadrilaterals. I can identify F, X and Z angles. I can find missing angles in quadrilaterals. 1) True or False? Why? cos(x) = tan(x) sin(x) Starter 2) Solve 7cos(x) = 14 for 0 < x < 360 3) What is the sum of the interior angles in a 17 sided shape?
15 Today we are learning... Triangles in Circles The three properties of triangles within circles. I will know if I have been successful if... I can recognise and identify the three angle properties of circles. I can solve problems by choosing the appropriate properties. I can solve a range of past paper questions, showing all my working. Property 1
16 Example Find the radius of the circle. Property 2
17 Example Calculate angle ROT. Property 3
18 Example Calculate angle POR. Practice
19 Exam Question 1 Question 1 - Mark Scheme
20 Exam Question 2 Question 2 - Mark Scheme
21 Today we are learning... Triangles in Circles The three properties of triangles within circles. I will know if I have been successful if... I can recognise and identify the three angle properties of circles. I can solve problems by choosing the appropriate properties. I can solve a range of past paper questions, showing all my working.
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