Quickname: 7516

Suitable for K-12 grades: Grade 7 Grade 8

Junior High School, Middle School, High School.

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

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.

Tags: Classical Construction Drawing Triangle

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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

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.

Name

Title

Description

Label advanced parts of a triangle

Construct perpendicular bisectors, angle bisectors and medians.

Relevance

Name

Description

Quickname

Example

****

Triangle draw incircle

The incircle and angle bisectors have to be drawn for a given triangle.

**

Triangle: Draw heights, medians and bisectors

Draw heights, medians, angle bisectors or perpendicular bisectors for a triangle.

You may pass on the worksheets offered for download on this page to others, but not modify or sell them.

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Deutsche Version dieser Aufgabe

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