Meg claims that to make an angle greater, you just extend the rays,. how do you respond?

not so. To make the angle larger, you have to spread the rays apart more, not just lengthen the lines.

To respond to Meg's claim, you can explain the concept of angle extension.

When you extend the rays of an angle, you are essentially increasing the distance between the two rays. By doing so, you are extending the arms of the angle further away from each other. This creates a larger opening between the two arms, resulting in a greater angle.

To visually represent this concept, you could draw two rays on a piece of paper to form an angle. Then, simply extend the length of the rays in the same direction, while keeping them parallel. As a result, the opening between the rays becomes wider, indicating a larger angle.

However, it is important to note that while extending the rays can result in a greater angle, the actual measurement of the angle may vary. To accurately measure an angle, you would need a protractor or another measuring tool. The size of an angle is determined by the amount of rotation between the two rays, rather than just the length of the rays.

In summary, Meg's claim is partially correct in that extending the rays of an angle can make the opening between the rays larger, resulting in a visually greater angle. However, measuring the angle accurately requires using a protractor or similar measuring tool.

To address Meg's claim, it is important to explain that extending the rays of an angle does not necessarily make the angle greater. The measure or size of an angle is determined by the amount of rotation between its rays, not by the length of the rays.

By extending the rays of an angle, we primarily change the position of the vertex, but the amount of rotation or inclination between the rays remains the same. This means that even if the rays are extended, the angle will still have the same measure or size.

To make an angle greater, we would need to increase the amount of rotation between the rays. This can be achieved by either opening the angle wider or by rotating one of the rays while keeping the other fixed.