PRC presentation basic principles of geometry used in the academic year 15/16

1. Geometry 1
Parallel Lines, Angles in triangles
and special triangles

2. Prior Knowledge
• Angles on a straight line add up to.........
• Parallel means ..........
• Vertically opposite angles look like .....
• Alternate angles looks like the letter ......
• Corresponding Angles look like the letter .....
• Angles inside a triangle add up to .....
• Angles making a circle add up to .....

3. Parallel Lines
• Parallel means lines that are side by side
and always have the same distance
between distance between them.
• Parallel lines never touch
• They are normally show with arrows on
the line .

5. Relationships of Angles
• There are three rules coming up that you
will need to memorise for your exam.
• You do not need to make notes as a hand
out will be given but if you want to I will not
stop you.

6. Vertically opposite Angles
• When you have 2 or more parallel lines
there are patterns you can spot to help
answer the question.
• The first is called Vertically opposite
angles and these make an X shape.

7. Vertically Opposite - X

9. Corresponding Angles-F

11. Alternate Angles-Z

13. • In groups on the A3 handout please
highlight all of the possible Xs Fs and Zs
• Use different colours for each

14. Practice Question

16. Practice question 2

18. Angle sum of a triangle
• Angles in a triangle add up to 180
• Questions will involve finding an unknown
angle.

20. Practice Question 3

22. Practice Question 4

24. Can you think of any special
triangles
• What is a special triangle and what makes
them special

25. • Right angle
• Isosceles
• equilateral

27. Right angle triangles

29. isosceles

31. Equilateral