How to draw line segment CF and to draw a ray CD perpendicular to line segment CF.
To draw a line segment CF and a ray CD perpendicular to line segment CF, you will need a straightedge (such as a ruler) and a compass.
Here are the steps:
1. Draw a straight line segment AB.
2. Place the point of the compass on point C and adjust the compass to a length greater than half the length of AB. Draw an arc intersecting AB at two points, let's call them D and E.
3. With the same compass setting, place the point of the compass on point F and draw another arc intersecting line AB below point C. Let's call this point G.
4. Using a ruler, draw a straight line that connects points C and F. This line segment CF is now complete.
5. Place the point of the compass on point G and adjust it to any convenient radius.
6. Without changing the compass radius, draw an arc that intersects arc DE at point H.
7. With the same compass setting, place the point of the compass on point H and draw another arc that intersects arc DE at point I.
8. Using a ruler, draw a straight line through points C and I. This line is the ray CD, which is perpendicular to line segment CF.
Now you have successfully drawn line segment CF and a ray CD perpendicular to line segment CF.