QuestionThe center of the inscribed circle of a triangle is the point where all three meet.
Studdy Solution
STEP 1
1. We are given a triangle.
2. We are asked to identify the center of the inscribed circle of the triangle.
3. The inscribed circle is tangent to all three sides of the triangle.
STEP 2
1. Understand the properties of the inscribed circle in a triangle.
2. Identify the point where the inscribed circle is centered.
3. Determine the correct term to fill in the blank.
STEP 3
The inscribed circle of a triangle is a circle that is tangent to each side of the triangle. The center of this circle is called the incenter.
STEP 4
The incenter is the point where the angle bisectors of the triangle intersect. An angle bisector is a line that divides an angle into two equal parts.
STEP 5
Based on the properties of the incenter, the missing word in the statement is "angle bisectors." Therefore, the center of the inscribed circle of a triangle is the point where all three angle bisectors meet.
The correct word to fill in the blank is:
Was this helpful?
