I recently took geometry so I know the answer to your problem!
1. Measure line segment PQ with a ruler and construct the segment using the length. Or, use a tracing paper and trace the line and then go over the line segment on the tracing paper several times on the spot you want to construct it on until it shows up onto the paper.
2. To construct a perpendicular bisector you need a compass and a ruler. First, set the compass to over half of the line segment and draw an arc on one side. Repeat on the other side of the segement. Then draw a straight line in between the two arcs using your straight edge.
3. Draw an obtuse angle and label it JKL. Put the compass point on the vertex of the angle. Then draw an arc of any convenient length across both line segments.From where the arc crosses the leg, create another arc in the angle, not changing the length of the compass. Repeat on the other leg. Then you'll have a point in the middle of the angle. Using a straight edge, connect the point with the vertex.
4. A compass and a straight edge (like a ruler).
5.Constructing a figure is the most accurate because constructing uses only a compass and a straight edge to draw shapes, angles, or lines accurately.
6. Since XY is a line, and not a line segment, you cannot say that line segment is the perpendicular bisector because XY is never ending, therefore you can't say that you "found" the middle of the line.
Hope this helps!
Dec 8th, 2014
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