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Year 9 Geometrical Reasoning

In this lesson on geometrical reasoning, we explore the concept of alternate angles formed by a transversal crossing two parallel lines. The red line represents the transversal, creating a 'zig-zag' pattern with two angle pairs. As we extend the lines, we identify alternate angles on opposite sides of the transversal. This activity visually demonstrates how these alternate angles are not equal, enhancing your understanding of the relationships between angles formed by transversals and parallel lines.

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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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