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- 1. RAQUEL P. FARIÑAS
- 2. 1.Classification: by angles; by sides. 2. Special Lines: Altitude, median, bisector, mediator.TRIANGLES 3. Centres of a triangle: Incentre, circumcentre, centroid, orthocentre.
- 3. 1.1. Classifying Triangles by Angles• Acute TriangleA triangle whose three angles are acute is called anacute triangle. That is, if all three angles of a triangleare less than 90°, then it is an acute triangle.
- 4. 1.1. Classifying Triangles by Angles• Obtuse TriangleAn obtuse triangle is a triangle that has one obtuseangle.
- 5. 1.1. Classifying Triangles by Angles• Right Triangle If one angle of a triangle is 90°, then it is a righttriangle.
- 6. 1.1. Classifying Triangles by Angles• Equiangular TriangleIf all three angles of a triangle are 60°.
- 7. 1.2. Classifying Triangles by Sides• Equilateral TriangleA triangle with three congruent sides is called anequilateral triangle.
- 8. 1.2. Classifying Triangles by Sides• Isosceles TriangleIf a triangle has at least two congruent sides, thenthe triangle is an isosceles triangle.
- 9. 1.2. Classifying Triangles by Sides• Scalene TriangleA triangle that has no congruent sides is called ascalene triangle.
- 10. 2.1. Altitude• Every triangle has three bases (any of its sides)and three altitudes (heights). Every altitude is theperpendicular segment from a vertex to its oppositeside (or the extension of the opposite side) Three bases and three altitudes for the same triangle.
- 11. 2.2. Median• A median in a triangle is the line segment drawnfrom a vertex to the midpoint of its opposite side.Every triangle has three medians. In Figure 5 , E isthe midpoint ofBC . Therefore, BE = EC. AE is amedian of Δ ABC.
- 12. 2.3. Angle Bisector/ Bisecting• An angle bisector in a triangle is a segment drawnfrom a vertex that bisects (cuts in half) that vertexangle. Every triangle has three angle bisectors. Infigure below, is an angle bisector in Δ ABC.
- 13. 2.4. Mediator• Mediator is the perpendicular bisector of each sideof a triangle.
- 14. ?
- 15. 3.1. Incentre•Incenter: The three angle bisectors of a trianglemeet in one point called the incenter. It is the centerof the incircle, the circle inscribed in the triangle.
- 16. 3.2. Circumcentre• Circumcentre: The three perpendicular bisectorsof the sides of a triangle meet in one point called thecircumcenter. It is the center of the circumcircle, thecircle circumscribed about the triangle.
- 17. 3.3. Centroid• Centroid: The three medians (the lines drawnfrom the vertices to the bisectors of the oppositesides) meet in the centroid or center of mass (centerof gravity).
- 18. 3.4. Orthocentre• Orthocentre: The three altitudes of a trianglemeet in one point called the orthocenter.

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