Geometry journal 4

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Geometry journal 4

  1. 1. Geometry Journal 4<br />Katina Robles 9-3<br />
  2. 2. Types of Triangles<br />Equilateral: it is the triangle that all sides are the same.<br />Equiangular: it is the triangle that all angles are the same.<br />Isosceles: it is the triangle that has two equal sides only.<br />Scalene: it is the triangle that has no equal side <br />
  3. 3. Types of Triangles<br /> Right Triangle: a triangle with only one right angle in it.<br /> Acute Triangle: all angles are acute, less than 90 degrees <br /> Obtuse Triangle: a triangle where one of the angles is obtuse.<br />
  4. 4. The Parts of a Triangle & Triangle Sum Theorem<br />A triangle has three angles and three sides. <br /> The triangle sum theorem is that all angles sum up to 180 degrees. <br />=180<br />82<br />142<br />=180<br />8<br />19<br />90<br />19<br />60<br />=180<br />60<br />60<br />
  5. 5. Exterior Angles Theorem<br /> The Exterior Angle always sums up to the two non adjacent sides.<br />60<br />45<br />60<br />120<br />135<br />90<br />100<br />130<br />30<br />
  6. 6. CPCT<br /> Stands for Corresponding Parts of a Congruent Triangle.<br />This means that is two triangles are congruent, all the corresponding parts will also be congruent<br />1<br />4<br />A<br />D<br />Triangle ABC is congruent to triangle DEF. Therefore, all parts will also be congruent<br />3<br />5<br />2<br />6<br />C<br />F<br />E<br />B<br />Triangle 123 is congruent to triangle 456. Therefore, all parts will also be congruent.<br />d<br />b<br />a<br />Triangle abc is congruent to triangle def. Therefore, all parts will also be congruent.<br />c<br />e<br />f<br />
  7. 7. Side-Side-Side Postulate<br /> SSS postulate: If two triangles have three congruent sides, the triangles are congruent.<br />
  8. 8. Angle-Angle-Side Postulate<br />If two angles and a non included side are congruent to the two angles and a non included side of another triangle then the two triangles are congruent.<br />
  9. 9. Angle-Side-Angle Postulate<br /> If two angles and the side between them are congruent to the other triangle then the two angles are congruent.<br />
  10. 10. Side-Angle-Side Postulate<br />If two sides and the adjacent angle between them are congruent to the other triangle then those triangles are congruent. <br />
  11. 11. Picture Bibliography<br />http://www.mathwarehouse.com/geometry/congruent_triangles/angle-side-angle-postulate.php<br />http://www.mathwarehouse.com/geometry/congruent_triangles/angle-side-angle-postulate.php<br />http://www.icoachmath.com/math_dictionary/angle-angle-side_congruency.html<br />http://hotmath.com/hotmath_help/topics/ASA-postulate.html<br />http://ceemrr.com/Geometry1/Triangles1/Triangles17.html<br />

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