Podcast
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?
Which line segment in a triangle bisects one of its angles?
Which line segment in a triangle bisects one of its angles?
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?
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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Description
Test your knowledge on the special lines of triangles, including medians, angle bisectors, altitudes, and perpendicular bisectors. Understand how they intersect at the centroid, incenter, orthocenter, and circumcenter. This quiz covers key concepts and properties to help you master triangle geometry.
