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Details for problem "Triangle draw circumcircle"

Quickname: 7516

Suitable for K-12 grades: Grade 7 Grade 8

Junior High School, Middle School, High School.

Summary

The circumcircle and perpendicular bisectors have to be drawn for a given triangle.

Examples

The circumcircle and perpendicular bisectors have to be drawn for a given triangle. (Example for this math problem) The circumcircle and perpendicular bisectors have to be drawn for a given triangle. (Example for this math problem)

Description

The task is to draw the circumcircle or circumscribed circle of a given triangle. To achieve this, the perpendicular bisectors have to be constructed.

The triangle can be presented as a drawing, or it may be necessary to draw it first. In the latter case, some dimensions are given that unambiguously specify the triangle.

The dimensions given can be chosen to be either

It can be chosen whether the perpendicular bisectors are included in the given triangle, or have to be constructed. In the latter case, there may be a hint in the task description that mentions the necessity of the perpendicular bisectors, or this hint may be omitted.


Topics: Geometry

Tags: Classical Construction Drawing Triangle

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Customization options for this problem

Parameter
Possible values
Number of problems
1, 2
Given
sides, angle,side,angle, side,angle,side, sss or asa, sss or sas, asa or sas, sss, sas or asa, triangle w/o perp bisect, triangle w/ perp bisect
Mention perpendicular bisectors
Yes, No

Similar problems

Remark
Description
Name and direct link
Perpendicular bisectors in a triangle, no reference to circumcircle
Draw heights, medians, angle bisectors or perpendicular bisectors for a triangle.

dw-Math worksheet templates that do contain this problem

Name
Title
Description
Label advanced parts of a triangle
Construct perpendicular bisectors, angle bisectors and medians.

Other types of problems that appear on worksheets with this problem:

Relevance
Name
Description
Quickname
Example
****
Triangle draw incircle
The incircle and angle bisectors have to be drawn for a given triangle.
Triangle draw incircle
****
Triangle mark centroid
The medians and centroid have to be drawn for a given triangle.
Triangle mark centroid
****
Triangle: Draw heights, medians and bisectors
Draw heights, medians, angle bisectors or perpendicular bisectors for a triangle.
Triangle: Draw heights, medians and bisectors


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