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
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
- the lengths of the three sides
- the site of two angles and the length of the common side
- the length of two sides and the size of the angle between these sides
- or a random selection of the three possibilities above.
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
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
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
Label advanced parts of a triangle
Construct perpendicular bisectors, angle bisectors and medians.
Other types of problems that appear on worksheets with this problem:
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Triangle draw incircle
The incircle and angle bisectors have to be drawn for a given triangle.
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Triangle mark centroid
The medians and centroid have to be drawn for a given triangle.
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Triangle: Draw heights, medians and bisectors
Draw heights, medians, angle bisectors or perpendicular bisectors for a triangle.
Deutsche Version dieser Aufgabe
