The bisector. Perpendicular and angle bisector. Defintions and how to draw them.

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Transcript of The bisector. Perpendicular and angle bisector. Defintions and how to draw them.

  • 1. THE BISECTOR

2. PERPENDICULAR BISECTOR. Definition. The bisector of a segment is the perpendicular line that passes through the midpoint 3. PERPENDICULAR BISECTOR. How to draw it. 1. Open the compass with an opening greater than half of the segment AB and draw an arc with center in A. 2. With the same opening as in point 1, trace an arc with center at B. The two arcs intersect at points C and D. 3. Trace, using the ruler, an straight line through the points C and D. This line is the perpendicular bisector of segment AB . 4. ANGLE BISECTOR. Definition. The angle bisector is a ray that passes through the vertex angle and devide it into two equal angles. 5. ANGLE BISECTOR. How to draw it. 1. Trace an arc using the compass with center at the vertex of the angle A. Name P and Q to the points of intersection. 2. Open the compass and draw an arc with center at point P. 3. Without moving the compass opening, click on Q and draw another arc. This arc will cut with the arc in step 2 at the point R. 4. Trace, using the ruler, a ray that passes through the vertex of the angle through point A and R. This new line is the angle bisector. 6. ANGLE BISECTOR. How to draw it. 1. Trace an arc using the compass with center at the vertex of the angle A. Name P and Q to the points of intersection. 2. Open the compass and draw an arc with center at point P. 3. Without moving the compass opening, click on Q and draw another arc. This arc will cut with the arc in step 2 at the point R. 4. Trace, using the ruler, a ray that passes through the vertex of the angle through point A and R. This new line is the angle bisector.