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Year 9 Geometrical Reasoning

Year 9 Geometrical Reasoning. Alternate Angles. Here is an angle formed by two lines. Here is another angle formed by two lines. We can slide these together to form a ‘zig-zag’. We can slide these together to form a ‘zig-zag’.

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Year 9 Geometrical Reasoning

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  1. Year 9 Geometrical Reasoning Alternate Angles

  2. Here is an angle formed by two lines. Here is another angle formed by two lines. We can slide these together to form a ‘zig-zag’.

  3. We can slide these together to form a ‘zig-zag’.

  4. The RED line is called the TRANSVERSAL because it crosses the other two lines.. We can slide these together to form a ‘zig-zag’. Note the acute angles contained in the zig-zag. Now see how all of the lines can be extended.

  5. We call these ALTERNATE ANGLES because they are formed by the transversal and the top line and the transversal and the bottom line. However, they are on ALTERNATE (opposite) sides of the transversal.

  6. Do you think that these ALTERNATE ANGLESwill beEQUAL?

  7. Watch this copy of the lower angle to see…

  8. These ALTERNATE ANGLES are clearly NOT EQUAL.

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