Question

construct a parallel line through the given point: 29) 30) construct a perpendicular bisector: 31) 32)

Explanation:

Step1: Construct parallel line for 29

1. Place the compass on a point on line \(l\). Draw an arc that intersects line \(l\) and will be used to transfer the angle.
2. Without changing the compass width, place the compass on point \(A\). Draw a similar - sized arc.
3. Measure the distance between the two intersection points of the first arc and line \(l\) with the compass.
4. Transfer this distance to the second arc drawn from point \(A\) and draw the parallel line.

Step2: Construct parallel line for 30

Repeat the above - mentioned steps for point \(N\) and line \(m\).

Step3: Construct perpendicular bisector for 31

1. Place the compass at point \(A\) and set the width to more than half the length of segment \(AB\). Draw arcs above and below the segment.
2. Without changing the compass width, place the compass at point \(B\) and draw similar arcs that intersect the previous arcs.
3. Draw a line through the intersection points of the arcs. This is the perpendicular bisector of segment \(AB\).

Step4: Construct perpendicular bisector for 32

Repeat the above - mentioned steps for segment \(GH\).

Answer:

The parallel lines for 29 and 30 and the perpendicular bisectors for 31 and 32 are constructed as described above.