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# 4.1 terms

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• 1. Terms of Endearment Triangles and Angles: 4.1
• 2. Triangle
• Figure formed by 3 segments joining 3 non-collinear points
• 3. Classification by Sides
• Equilateral Triangle
• 3 congruent sides
• Isosceles Triangle
• At least 2 congruent sides
• Scalene Triangle
• No congruent sides
• 4. Classification by Angles
• Acute Triangle
• 3 acute angles
• Equiangular Triangle
• 3 congruent angles
• Right Triangle
• 1 right angle
• Obtuse Triangle
• 1 obtuse angle
• 5. Vertex
• Each of the 3 points joining the sides of a triangle
• Two sides sharing a common vertex
• 7. Right Triangles
• Legs – Sides that form the right angle
• Hypotenuse – Side opposite the right angle
• 8. Isosceles Triangle
• Leg – the two congruent sides
• Base – the third side (non-congruent)
• 9. Interior Angles
• When the sides of the triangle are extended, the interior angles are the original angles (inside the triangle)
• 10. Exterior Angles
• When the sides of a triangle are extended, the exterior angles are the angles adjacent to the interior angles (form a linear pair to the original angles)
• 11. Triangle Sum Theorem
• The sum of the measures of the interior angles of a triangle is 180 degrees
• 12. Exterior Angle Theorem
• The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles
• 13. Corollary to a theorem
• Statement easily proven using the theorem
• 14. Corollary to the Triangle Sum Theorem
• The acute angles of a right triangle are complementary