Understanding Parallel Lines and Angle Relationships

Learning about parallel lines involves using angle facts like those on a straight line or around a point. By interpreting what a transversal is, you can apply angle relationships such as corresponding, alternate, co-interior, and vertically opposite angles. Practice finding unknown angles and identifying different types of angles like alternate, corresponding, and co-interior. Increase your understanding by determining unknown angles using provided geometric figures.

• Geometry
• Parallel Lines
• Angle Relationships
• Transversal
• Angle Facts

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1. Parallel lines Today we are learning how to: Use simple angle facts such as angles on a straight line or angles around a point Interpret what a transversal is Apply parallel line angle facts, including corresponding, alternate, co-interior and vertically opposite angles

2. STARTER DRILL Find the unknown angles

3. STARTER DRILL 1. 50 3. 50 2. 80 4. 85 1. 45, 45 2. 60, 60, 60 3. 80, 80 4. 70, 40 1. X = 20 2. X = 30 3. X = 30

4. Can you find the unknown angles?

5. Can you now give reasons why?

6. Summary

7. I have shaded 1 of the angles. Shade the alternate angles red. Shade the corresponding angles amber. Shade the co-interior angles green.

8. Confidence builder Find x: 37o xo

9. Confidence builder Find x: 37o xo

10. Confidence builder Find x: xo 37o

11. Confidence builder Find x: 37o xo

12. Confidence builder Find x: 37o xo

13. MAKE IT HARDER! Use your knowledge facts to identify the remaining angles in the diagram: 40o

14. Use your knowledge facts to identify the remaining angles in the diagram:

15. 17o 38o 146o 47o 132o 37o 141o 48o132o 141o 137o 129o 129o 37o 43o 61o 53o 49o 122o 147o 159o 147o 122o 76o 53o 49o 82o 159o 57o 47o 37o

16. You have 10 seconds to remember these facts:

17. How much can your remember?

18. CREATIVE TIME How can you use today s knowledge to prove that angles in a triangle add up to 180o.

19. Angles on a straight line equal 180 degrees Practical Proof The sum of the angles in a triangle is equal to 180 degrees b c a

20. Geometric Proof x is the same angle as a due to alternate angles y is the same angle as c due to alternate angles Angles on a straight line equal 180 degrees Angles in a triangle equal 180 degrees x + b + y = 180 degrees a + b + c = 180 degrees y x b c a