Question

for #11 - 12, draw the indicated lines and segments.
11.
a ---- b
/ \\
/ \\
c

a. draw the median from c to \\(\overline{ab}\\)
b. draw the perpendicular bisector of \\(\overline{ac}\\).
c. draw the altitude from a to \\(\overline{cb}\\)

Explanation:

a. A median from a vertex to a side connects the vertex to the midpoint of that side. First, find the midpoint of $\overline{AB}$ (mark the point that splits $\overline{AB}$ into two equal parts), then draw a segment connecting point $C$ to this midpoint.
b. A perpendicular bisector of a segment is a line that splits the segment into two equal parts and forms a 90° angle with it. First, find the midpoint of $\overline{AC}$, then draw a line through this midpoint that is perpendicular to $\overline{AC}$.
c. An altitude from a vertex to a side is a segment from the vertex that forms a 90° angle with the side (or its extension). Draw a segment from point $A$ that meets $\overline{CB}$ (or its extension) at a right angle, connecting $A$ to that right-angle intersection point.

Answer:

a. Segment connecting $C$ to midpoint of $\overline{AB}$ (median drawn as described)
b. Line perpendicular to $\overline{AC}$ through its midpoint (perpendicular bisector drawn as described)
c. Segment from $A$ perpendicular to $\overline{CB}$ (altitude drawn as described)