Explain how you can use a straight edge and a protractor to show that each angle you formed by a bisector is one-half the original angle.
To use a straight edge and a protractor to show that each angle formed by a bisector is one-half the original angle, you can follow these steps:
1. Start by drawing a straight line segment, representing the original angle. Label the two endpoints of the line segment as A and B.
2. Place the protractor on the line segment AB, aligning the vertex (center) of the protractor with point B. Make sure that the zero degree mark on the protractor is on point A.
3. Read the initial angle measure by locating the point where the line segment AB intersects the degree markings on the protractor. Note this measure as the original angle, let's call it X.
4. Now, use your straight edge to draw a line segment from point B that intersects the original angle at point C. This line segment is called the bisector.
5. Place the protractor on the line segment BC, aligning the vertex of the protractor with point C. Ensure that the zero degree mark is on point B.
6. Read the angle measure by locating the point where the line segment BC intersects the degree markings on the protractor. This angle measure represents the angle formed by the bisector and is labeled as Y.
7. Compare the angle measures X and Y. You will observe that Y is one-half of X. In other words, Y = (1/2) * X.
By following these steps, you can visually demonstrate that each angle formed by a bisector is one-half the original angle X.