Circumcenter/Incenter

Circumcenter/Incenter

Assessment

Flashcard

Mathematics

9th Grade

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the definition of the circumcenter of a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect. It is equidistant from all three vertices of the triangle.

2.

FLASHCARD QUESTION

Front

What is the definition of the incenter of a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect. It is equidistant from all three sides of the triangle.

3.

FLASHCARD QUESTION

Front

How do you find the circumcenter of a triangle?

Back

To find the circumcenter, construct the perpendicular bisectors of at least two sides of the triangle. The point where they intersect is the circumcenter.

4.

FLASHCARD QUESTION

Front

How do you find the incenter of a triangle?

Back

To find the incenter, construct the angle bisectors of at least two angles of the triangle. The point where they intersect is the incenter.

5.

FLASHCARD QUESTION

Front

What is the relationship between the circumcenter and the circumradius?

Back

The circumradius is the radius of the circumcircle, which is the circle that passes through all three vertices of the triangle. The circumcenter is the center of this circle.

6.

FLASHCARD QUESTION

Front

What is the relationship between the incenter and the inradius?

Back

The inradius is the radius of the incircle, which is the circle that is tangent to all three sides of the triangle. The incenter is the center of this circle.

7.

FLASHCARD QUESTION

Front

If a triangle has vertices A, B, and C, how can you find the circumcenter using coordinates?

Back

To find the circumcenter using coordinates, calculate the midpoints of two sides, find the slopes of those sides, determine the slopes of the perpendicular bisectors, and solve the equations of the lines to find their intersection.

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