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Quickname: 7516

Suitable for grades: Grade 7, Grade 8

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

The task is to draw the circumcirle 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 Construc, Drawing, Triangle

Download free worksheets for this math problem here. There is a second sheet with the solutions. Just click on the respective link.

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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 |

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