Where is the Centre of a Triangle?

Where is the Centre of a Triangle?

Assessment

Interactive Video

Science, Mathematics

6th - 12th Grade

Hard

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The video tutorial explains the five different centers of a triangle: circumcenter, centroid, incenter, orthocenter, and nine-point center. It describes how each center is constructed using geometric properties like perpendicular bisectors, medians, angle bisectors, altitudes, and a nine-point circle. The tutorial also highlights Euler's line, which connects four of these centers in any triangle.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the circumcentre of a triangle and how can it be found?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of finding the centroid of a triangle.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What are angle bisectors and how do they relate to triangle centers?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to find the orthocentre of a triangle.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is Euler's line and what does it represent in relation to triangle centers?

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