1 / 5

Mid-point & Perpendicular Bisector of a line segment AB

Mid-point & Perpendicular Bisector of a line segment AB. Starting point: Line Segment AB. Construction Method: Open compasses so the points are approximately ¾ of the length of AB apart Place point of compass on point A

lilly
Download Presentation

Mid-point & Perpendicular Bisector of a line segment AB

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Mid-point & Perpendicular Bisector of a line segment AB Starting point: Line Segment AB • Construction Method: • Open compasses so the points are approximately ¾ of the length of AB apart • Place point of compass on point A • By eye - estimate the midpoint of AB and draw an arc such that the midpoint falls within the arc A • Repeat step 2&3 using B as the centre for the compass • Join the intersections of the arcs • This new line is perpendicular to AB and bisects AB B Midpoint of AB

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

  3. Perpendicular from a point P to a line segment AB Starting point: Line Segment AB and point P • Construction Method: • Open compasses so the points are more than the distance from P to the line AB • Place point of compass on point P • Draw two arcs on AB (it may be necessary to extend AB so that it intersects with the arcs being drawn from P) P A A’ • Label these intersections A’ and B’ B B’ • Construct the perpendicular bisector of the line A’B’

  4. Perpendicular from a point P on a line segment AB Starting point: Line Segment AB and point P on AB • Construction Method: • Open compasses a few centimetres • Place point of compass on point P • Draw two arcs on AB (it may be necessary to extend AB so that it intersects with the arcs being drawn from P) B’ B • Label these intersections A’ and B’ P • Construct the perpendicular bisector of the line A’B’ A’ A

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

More Related