Question

neida is dividing $overline{ab}$ into 6 congruent segments. she has reached the point shown. which step is next? a. draw lines from each arc intersection on $overline{ac}$ to form a right angle with $overline{ab}$ b. draw 5 new arcs from point d along $overline{db}$ the same distance apart as those on $overline{ac}$ c. draw straight lines from each arc intersection on $overline{ac}$ to point d d. draw a straight line from point c to point d

Explanation:

To divide a line - segment $\overline{AB}$ into congruent segments, we use the method of similar - triangles construction. After marking off equal segments on a ray $\overline{AC}$ starting from point $A$, the next step is to draw straight lines from each of the marked - off points on $\overline{AC}$ to a point (in this case point $D$) which is used to create similar triangles for the division of $\overline{AB}$.

Answer:

C. Draw straight lines from each arc intersection on $\overline{AC}$ to point $D$