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Questions and Answers
What is the name of the point where the medians of a triangle intersect?
What is the name of the point where the medians of a triangle intersect?
- Centroid (correct)
- Orthocenter
- Circumcenter
- Incenter
Which line segment in a triangle bisects one of its angles?
Which line segment in a triangle bisects one of its angles?
- Altitude
- Median
- Perpendicular Bisector
- Angle Bisector (correct)
What is the point of intersection of the altitudes in a triangle called?
What is the point of intersection of the altitudes in a triangle called?
- Centroid
- Circumcenter
- Incenter
- Orthocenter (correct)
Which of the following lines in a triangle is perpendicular to a side from the opposite vertex?
Which of the following lines in a triangle is perpendicular to a side from the opposite vertex?
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What point is formed by the intersection of the perpendicular bisectors of a triangle's sides?
What point is formed by the intersection of the perpendicular bisectors of a triangle's sides?
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Study Notes
Medians
- A median in a triangle connects a vertex to the midpoint of the opposite side.
- There are three medians in a triangle.
- The medians intersect at the centroid of the triangle.
Angle Bisectors
- An angle bisector divides an angle in a triangle into two equal angles.
- There are three angle bisectors in a triangle.
- The angle bisectors intersect at the incenter of the triangle.
Altitudes
- An altitude in a triangle is a perpendicular line segment from a vertex to the opposite side.
- The three altitudes of a triangle intersect at the orthocenter.
Perpendicular Bisectors
- A perpendicular bisector of a side in a triangle is a line perpendicular to that side and passing through its midpoint.
- The three perpendicular bisectors in a triangle intersect at the circumcenter.
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