1. Constructions Bisect – To divide something into two equal parts Perpendicular – Lines that intersect to form right angles. Today’s constructions: –Bisect an angle –Construct a Perpendicular Through a Point on a Line –Construct a Perpendicular Through a Point not on the Line

2. Constructions (cont.) Bisect an angle: 1.Draw an arc from the vertex that intersects each of the sides of the angle 2.From the intersection on one side, draw an arc in the interior of the angle 3.From the intersection on the other side, draw an arc in the interior with the same radius 4.Connect the vertex and the new point to create the bisector

3. Constructions (Cont.) Construct a Perpendicular Through a Point on a Line: 1.Place the compass on the point. Set the width of the compass to what you want and draw a circle with the point as the center. Label the points where the circle intersects the line. 2.Open the compass so that it is wider than the distance from one of the newly labeled points to the original point. Place the compass on one of the points where the circle intersects the line and draw an arc above the line. 3.Keeping the compass at the same width, place it in the other point where the circle intersects the line. Draw an arc above the line so that it intersects the arc from the previous step. Label that point. 4.Draw the line that passes through the point above the line and the original point on the line.

4. Constructions (The End) Construct a Perpendicular Through a Point not on the Line: 1.Place the compass on the point. Draw an arc that intersects the line in two different locations. Label those points. 2.Open the compass to a width that is greater than half the distance between the two points on the line. Put the compass on one of the two points on the line. Draw an arc on the opposite side of the line from the point you were given. 3.Keeping the compass at the same width, place it on the other point on the line. Draw an arc so that it intersects the arc from the previous step. Label that point. 4.Draw the line that passes through the original point and the point you created on the opposite side of the line.