1C
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the word.
1. Altitudes
2. Angle bisectors
3. Medians
4. Perpendicular Bisectors
A. Centroid
B. Circumcenter
C. Incenter
D. Orthocenter
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1. Altitudes: Altitudes are segments drawn from each vertex of the triangle perpendicular to the opposite side.
2. Angle bisectors: Angle bisectors are segments that divide the angle into two equal parts.
3. Medians: Medians are segments drawn from each vertex of the triangle to the midpoint of the opposite side.
4. Perpendicular Bisectors: Perpendicular bisectors are segments that bisect a side of the triangle at a right angle.
Now let's match these segments with their corresponding concurrent point:
A. Centroid: The centroid is the point of concurrency of the medians. It is the point where all three medians intersect.
B. Circumcenter: The circumcenter is the point of concurrency of the perpendicular bisectors. It is the center of the circle passing through all three vertices of the triangle.
C. Incenter: The incenter is the point of concurrency of the angle bisectors. It is the center of the circle inscribed within the triangle.
D. Orthocenter: The orthocenter is the point of concurrency of the altitudes. It is the point where all three altitudes intersect.
Based on these definitions, the correct matches would be:
1. Altitudes - D (Orthocenter)
2. Angle bisectors - C (Incenter)
3. Medians - A (Centroid)
4. Perpendicular Bisectors - B (Circumcenter)