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Mathematics, 18.02.2021 17:50 shmueller1554

Read each sentence carefully and answer if it is Always true, Sometimes true or Never true.

1. It is possible that the incenter of a triangle is on one side of the triangle.
2. The point of concurrency is where three or more lines intersect.
3. The point of concurrence of the perpendicular bisectors is inside the triangle.
4. The incenter is the point where the medians meet. 5. The heights and the bisector perpendicular are equal.
6. The length from the vertex to the point of concurrence is two-thirds of the total length of the
median.
7. The circumcenter in a scalene triangle is inside the triangle.
8. If the bisector perpendicular to one side of the triangle passes through the vertex of the angle
opposite, then it is an isosceles triangle. 9. The incenter of a triangle is inside the triangle.
10. In an equilateral triangle the medians are on the outside of the triangle.
11. It is possible that the orthocenter of a triangle lies at the vertex of a triangle.
12. The circumcenter and the incenter are the same point.

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