IXL - Construct the inscribed or circumscribed circle of a triangle (Geometry practice)

is the circumcenter of

△

Construct the circumscribed circle of

△

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question

is the circumcenter of

△

Construct the circumscribed circle of

△

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Point

Segment

Ray

Line

Circle

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key idea

The circumcenter of a triangle is the center of its circumscribed circle. It is equidistant from all three vertices, and it is the intersection of the perpendicular bisectors of each of the triangle's sides.

To construct the circumcenter, it is sufficient to find the intersection of two perpendicular bisectors, since the third perpendicular bisector will also pass through this point.

solution

To construct the circumscribed circle of

△

carry out the following step:

Draw a circle with radius
C
D
centered at
D
.

The circumcenter

is the center of the circumscribed circle, and

is a point on the circumscribed circle, so

⨀

is the circumscribed circle of

△

Looking for more? Try these:

Lesson: Circumscribed circles

Lesson: Inscribed circles

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N.6Construct the circumcenter or incenter of a triangle

Lesson: Circumscribed circles

Lesson: Inscribed circles

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