Question

1. line m with point a above the line is shown below. a. construct a line through point a that is perpendicular to line m. label this line k. b. construct a line perpendicular to line k through point a. label this line p.

Explanation:

Step1: Construct perpendicular to line m

1. Place the compass point on point A.
2. Draw arcs that intersect line m at two points, say B and C.
3. Place the compass on B and draw an arc below the line. Then, without changing the compass width, place the compass on C and draw another arc that intersects the previous arc. Let the intersection point be D.
4. Draw line k passing through A and D. Line k is perpendicular to line m.

Step2: Construct perpendicular to line k

1. Place the compass point on point A.
2. Draw arcs that intersect line k at two new points, say E and F.
3. Place the compass on E and draw an arc on one - side of the line. Then, without changing the compass width, place the compass on F and draw another arc that intersects the previous arc. Let the intersection point be G.
4. Draw line p passing through A and G. Line p is perpendicular to line k.

Answer:

The construction steps as described above will give the required lines k and p.