Question

On a blank piece of paper, draw a way with endpoint B. Carefully fold your paper to create a fold line that makes a 45⁰ angle with your ray at B. Briefly describe your method, and explain why it makes sense.

Answer 1

To draw a fold line that makes a 45⁰ angle with a ray at endpoint B on a piece of paper, follow these steps: Draw a ray at endpoint B, draw a perpendicular line, measure and mark a 45⁰ angle, and fold the paper along the marked line.

Step-by-step explanation:

To draw a fold line that makes a 45⁰ angle with a ray at endpoint B on a piece of paper, follow these steps:

1. Draw a ray originating from an arbitrary point, and label the endpoint as B.
2. From point B, draw a perpendicular line, forming a 90⁰ angle.
3. Using a protractor, measure and mark a 45⁰ angle starting from the perpendicular line at point B.
4. Fold the paper along the marked line so that it aligns with the ray.

This method makes sense because folding the paper along the marked line ensures that the fold line creates a 45⁰ angle with the original ray at endpoint B. The perpendicular line helps in accurately measuring the angle, and folding along the marked line maintains the angle when the paper is folded.