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Details for problem "Perpendicular bisector construction for a line segment"

Quickname: 9302

Suitable for K-12 grades: Grade 5 Grade 6 Grade 7

Elementary School, Primary School, Junior High School, Middle School, High School.

Summary

For a given line segment, construct the perpendicular bisector using only a compass and a ruler.

Examples

For a given line segment, construct the perpendicular bisector using only a compass and a ruler. (Beispiel für die Lösung) For a given line segment, construct the perpendicular bisector using only a compass and a ruler. (Example for this math problem) For a given line segment, construct the perpendicular bisector using only a compass and a ruler. (Example for this math problem)

Description

A line segment is given, which is bounded by points A and B. Using a compass and a ruler, construct the mid-perpendicular. The classic way is to start at each end point and create an arc on both sides of the line; the perpendicular bisector then passes through the two intersections of the arc pairs.

Parts of the construction can be given for variation, e.g.

- both arcs of a circle around a point, one on each side of the line
- a point of intersection of two arcs of a circle on one side of the line
- both intersections

combined with the request to supplement the design drawing accordingly.

The size of the drawing can be specified in several steps. The drawing for the problem is always output in such a way that there is enough space left for the problem to be solved on the worksheet.


Topics: Geometry

Tags: Classical Construction Drawing

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Customization options for this problem

Parameter
Possible values
Number of problems
1, 2, 3, 4, 5
Size
4cm, 6cm, 8cm, 10cm, 12cm
Given elements
none, an arc, an intersection, both arcs of one end, both intersections

Similar problems

Remark
Description
Name and direct link
Also specially in triangles
Draw heights, medians, angle bisectors or perpendicular bisectors for a triangle.


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