Maggie claims that to make the measure of an angle greater, you just extend the rays. How do you respond?
In response to Maggie's claim, I would explain the concept of angles and how they are formed. An angle is formed by two rays that share a common endpoint, called the vertex. The size of an angle is measured in degrees, where a complete revolution corresponds to 360 degrees.
To address Maggie's claim, extending the rays of an angle does not change the measure of the angle. The size of an angle is determined by the opening between the rays, not by the length of the rays themselves. Extending the rays only changes the length of the lines, not the measure of the angle.
To verify this, you can use a protractor to measure the angle before and after extending the rays. You will find that the measure remains unchanged.
Therefore, I would respond to Maggie by explaining that extending the rays of an angle does not make the measure of the angle greater. The measure of an angle is determined solely by the opening between the rays, not by their extension.