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Are the lines that contain the altitudes of a triangle are parallel?
No, they meet at a single point.
What types of concurrent constructions are needed to find the orthocenter of a triangle?
intersection of the lines drawn perpendicular to each side of the triangle through its midpoint
Are lines that contain the same point concurrent?
Yes - except in the extreme case where they are the same line.
What are the three lines of symmetry on an equilateral triangle?
They are the lines joining each of the vertices to the mid-points of the opposite sides. In an equilateral triangle, these lines are the medians, angle bisectors, altitudes and perpendicular bisectors of the sides - all in one!
What are the number of lines of symmetry in an equilateral triangle?
The three lines joining each vertex to the midpoint of the opposite side. They are also the medians, altitudes and perpendicular bisectors of the sides. In an equilateral triangle these are coincident.
The lines containing the altitudes of a triangle are concurrent at this point?
The point where the altitudes of a triangle intersect is called the orthocenter. This point is concurrent, meaning the three altitudes intersect at this single point inside or outside the triangle. The orthocenter is different from the centroid, circumcenter, and incenter of a triangle.
Are the lines that contain the altitudes of a triangle are parallel?
No, they meet at a single point.
The point of intersection of the lines containing the altitudes of a triangle?
orthocenter (geometry)
The orthocenter is the point shared by the angle bisector of a triangle?
Actually, the orthocenter of a triangle is the point where the three altitudes of the triangle intersect. The altitudes are perpendicular lines drawn from each vertex to the opposite side. The angle bisectors of a triangle intersect at the incenter, not the orthocenter.
What types of concurrent constructions are needed to find the orthocenter of a triangle?
intersection of the lines drawn perpendicular to each side of the triangle through its midpoint
Angle bisector of a triangle?
The angle bisectors of a triangle are the lines which cut the inner angles of a triangle into equal halves. The angle bisectors are concurrent and intersect at the center of the incircle.
Are lines that contain the same point concurrent?
Yes - except in the extreme case where they are the same line.
What is the definition of concurrent lines?
concurrent lines are In geometry, three or more lines are said to be concurrent if they intersect at a single point.
Difference between concurrent coplanar forces and non concurrent coplanar forces?
Concurrent coplanar forces have their lines of action intersecting at a common point, allowing them to be resolved using the parallelogram law of forces. Non-concurrent coplanar forces have their lines of action not intersecting at a common point, requiring the use of the triangle law of forces for resolution.
What are the three lines of symmetry on an equilateral triangle?
They are the lines joining each of the vertices to the mid-points of the opposite sides. In an equilateral triangle, these lines are the medians, angle bisectors, altitudes and perpendicular bisectors of the sides - all in one!
What are the number of lines of symmetry in an equilateral triangle?
The three lines joining each vertex to the midpoint of the opposite side. They are also the medians, altitudes and perpendicular bisectors of the sides. In an equilateral triangle these are coincident.
What are the lines of symmetry on a regular polygon triangle?
A regular polygon triangle is an equilateral triangle. It has three lines of symmetry: a line passing through each vertex and the mid-point of the opposite side. These are the three medians or altitudes or perpendicular bisectors or angle bisectors of the triangle - they are all the same lines.
