Final answer:
Three input options to draw an arc tangent to the endpoint of a previously drawn arc include using a compass, the string-and-pin method, and geometric tools like a straightedge and protractor.
Step-by-step explanation:
To draw an arc tangent to the endpoint of a previously drawn arc, there are several input options one can use. Here are three possible methods:
- Use a compass with an adjustable radius to set the distance equal to the desired radius of the new arc, placing the compass point on the endpoint of the existing arc.
- Employ the sting-and-pin method similar to that used for drawing an ellipse, where the string represents the radius and the pin marks the center of the new arc.
- Apply geometric principles using a straightedge and protractor to find the center of the new arc based on the known radius and tangent point.
Each option requires an understanding of geometry and the properties of circles and arcs to ensure the arc is drawn accurately and tangentially to the prior arc.