Question

question 12 of 25

if a circle is inscribed in a triangle, the center of the circle is called the _________ of the triangle.

a. incenter
b. circumcenter
c. diameter

Explanation:

Identify the definition of an inscribed circle's center

An inscribed circle (or incircle) of a triangle is the largest circle contained in the triangle that touches (is tangent to) all three sides. The center of this inscribed circle is called the incenter.

Compare with other options

• Incenter: The center of the inscribed circle (incircle) of a triangle.
• Circumcenter: The center of the circumscribed circle (circumcircle) of a triangle.
• Diameter: A line segment passing through the center of a circle with endpoints on the circle, not a center point of a triangle.

Answer:

• A. incenter (Correct answer)
• B. circumcenter
• C. diameter