Question

eliass steps

1. place the compass point on the given point c. set the compass width to be less than the length of segment ac.
2. draw an arc which intersects line ab at two points. label these points d and e.
3. adjust the compass width to be greater than the length of segment dc and draw two arcs, centered at d and e, which intersect above line ab. label the point of intersection f.
4. draw a straight line through points f and c.

greysons steps

1. place the compass point on the given point c. set the compass width to be less than the length of segment cb.
2. draw an arc which intersects line ab at two points. label these points r and s.
3. adjust the compass width to be greater than the length of segment cs and draw two arcs, centered at r and s, which intersect below line ab. label the point of intersection t.
4. draw a straight line through points t and c.

which student(s) successfully outlined a series of steps to complete the construction?
a. only greyson
b. neither elias nor greyson
c. both elias and greyson
d. only elias

Explanation:

Both students are following the standard geometric construction steps to draw a perpendicular line from a point C to line AB. Elias's steps create arcs above AB to find the intersection point F, then draw line FC (the perpendicular). Greyson's steps create arcs below AB to find point T, then draw line TC (the perpendicular). Both methods are valid for constructing a perpendicular from an external point to a line.

Answer:

C. both Elias and Greyson