Mid-point & Perpendicular Bisector of a line segment AB

Transcription

1 Mid-point & Perpendicular isector of a line segment Starting point: Line Segment Midpoint of 1. Open compasses so the points are approximately ¾ of the length of apart point 3. y eye - estimate the midpoint of and draw an arc such that the midpoint falls within the arc 4. Repeat step 2&3 using as the centre for the compass 5. Join the intersections of the arcs 6. This new line is perpendicular to and bisects

2 isector of an angle C Starting point: ngle C 1. Open compasses so the points are approximately 1 / 3 of the length of one of the lines making the angle the point where the lines meet 3. Draw a small arc on each of the lines making the angle 4. Open the compasses out so they are approximately ½ the length of one of the lines making the angle 5. Choose one of the lines, and place the point of the compass on the point where the arc crosses the line 6. Draw a new arc such that the bisector of the angle (by eye) would intersect 7. Repeat steps 4&5 for the other line 8. Draw line from intersection of the two large arcs to point 9. This line bisects ngle C

3 Perpendicular from a point P to a line segment Starting point: Line Segment and point P 1. Open compasses so the points are more than the distance from P to the line P point P 3. Draw two arcs on (it may be necessary to extend so that it intersects with the arcs being drawn from P) 4. Label these intersections and 5. Construct the perpendicular bisector of the line

4 Perpendicular from a point P on a line segment P Starting point: Line Segment and point P on 1. Open compasses a few centimetres point P 3. Draw two arcs on (it may be necessary to extend so that it intersects with the arcs being drawn from P) 4. Label these intersections and 5. Construct the perpendicular bisector of the line

5 Mid-point & Perpendicular isector of a line segment Starting point: Line Segment 1. Open compasses so the points are approximately ¾ of the length of apart point 3. y eye - estimate the midpoint of and draw an arc such that the midpoint falls within the arc 4. Repeat step 2&3 using as the centre for the compass 5. Join the intersections of the arcs 6. This new line is perpendicular to and bisects Perpendicular from a point P to a line segment Starting point: Line Segment and point P 1. Open compasses so the points are more than the distance from P to the line point P 3. Draw two arcs on (it may be necessary to extend so that it intersects with the arcs being drawn from P) 4. Label these intersections and 5. Construct the perpendicular bisector of the line isector of an angle Starting point: ngle C 1. Open compasses so the points are approximately 1 / 3 of the length of one of the lines making the angle the point where the lines meet 3. Draw a small arc on each of the lines making the angle 4. Open the compasses out so they are approximately ½ the length of one of the lines making the angle 5. Choose one of the lines, and place the point of the compass on the point where the arc crosses the line 6. Draw a new arc such that the bisector of the angle (by eye) would intersect 7. Repeat steps 4&5 for the other line 8. Draw line from intersection of the two large arcs to point 9. This line bisects ngle C Perpendicular from a point P on a line segment Starting point: Line Segment and point P on 1. Open compasses a few centimetres point P 3. Draw two arcs on (it may be necessary to extend so that it intersects with the arcs being drawn from P) 4. Label these intersections and 5. Construct the perpendicular bisector of the line