QuestionIdentify the point of concurrency. Circumcenter Incenter Orthocenter Centroid
Studdy Solution
STEP 1
1. We are given a triangle with its altitudes drawn.
2. The altitudes intersect at a single point.
3. We need to identify the type of point of concurrency.
STEP 2
1. Understand the properties of the points of concurrency.
2. Identify the point of concurrency based on the given information.
STEP 3
Understand the properties of the points of concurrency: - **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. - **Orthocenter**: The point where the altitudes of a triangle intersect. - **Centroid**: The point where the medians of a triangle intersect. It is the center of mass or balance point of the triangle.
STEP 4
Identify the point of concurrency based on the given information: - The image shows a triangle with its altitudes drawn, intersecting at a single point.
STEP 5
Since the altitudes of the triangle are intersecting at a single point, this point is known as the **Orthocenter**.
The point of concurrency in the given image is the **Orthocenter**.
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