Question11. Classify point . A. Circumcenter B. Incenter C. Centroid
Studdy Solution
STEP 1
1. We are given a triangle with point C marked inside.
2. Angle bisectors from each vertex intersect at point C.
3. We need to classify point C as one of the following: Circumcenter, Incenter, Centroid, or Orthocenter.
STEP 2
1. Understand the definitions of Circumcenter, Incenter, Centroid, and Orthocenter.
2. Analyze the given information about point C.
3. Classify point C based on the analysis.
STEP 3
Understand the definitions: - **Circumcenter**: The point where the perpendicular bisectors of the sides of a triangle intersect. It is equidistant from the vertices of the triangle. - **Incenter**: The point where the angle bisectors of a triangle intersect. It is equidistant from the sides of the triangle. - **Centroid**: The point where the medians of a triangle intersect. It is the center of mass of the triangle. - **Orthocenter**: The point where the altitudes of a triangle intersect.
STEP 4
Analyze the given information: - The image description states that angle bisectors from each vertex intersect at point C.
STEP 5
Classify point C:
- Since point C is the intersection of the angle bisectors, it is the **Incenter** of the triangle.
The classification of point C is:
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