Terms of Endearment Triangles and Angles:  4.1
Triangle <ul><li>Figure formed by 3 segments joining 3 non-collinear points </li></ul>
Classification by Sides <ul><li>Equilateral Triangle </li></ul><ul><ul><li>3 congruent sides </li></ul></ul><ul><li>Isosce...
Classification by Angles <ul><li>Acute Triangle </li></ul><ul><ul><li>3 acute angles </li></ul></ul><ul><li>Equiangular Tr...
Vertex <ul><li>Each of the 3 points joining the sides of a triangle </li></ul>
Adjacent Sides <ul><li>Two sides sharing a common vertex </li></ul>
Right Triangles <ul><li>Legs – Sides that form the right angle </li></ul><ul><li>Hypotenuse – Side opposite the right angl...
Isosceles Triangle <ul><li>Leg – the two congruent sides </li></ul><ul><li>Base – the third side (non-congruent) </li></ul>
Interior Angles <ul><li>When the sides of the triangle are extended, the interior angles are the original angles (inside t...
Exterior Angles <ul><li>When the sides of a triangle are extended, the exterior angles are the angles adjacent to the inte...
Triangle Sum Theorem <ul><li>The sum of the measures of the interior angles of a triangle is 180 degrees </li></ul>
Exterior Angle Theorem <ul><li>The measure of an exterior angle of a triangle is equal to the sum of the measures of the t...
Corollary to a theorem <ul><li>Statement easily proven using the theorem </li></ul>
Corollary to the Triangle Sum Theorem <ul><li>The acute angles of a right triangle are complementary </li></ul>
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4.1 terms

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

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