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Geo Journal 4

Geo Journal 4. Alejandro Gonzalez 9-4. Different Types of Triangles. Equilateral is a triangle that the sides are all the same. Equiangular is a triangle that all angles are the same. Isosceles is a triangle that has only two equal sides. Scalene is a triangle that has no equal sides.

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Geo Journal 4

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  1. Geo Journal 4 Alejandro Gonzalez 9-4

  2. Different Types of Triangles • Equilateral is a triangle that the sides are all the same. • Equiangular is a triangle that all angles are the same. • Isosceles is a triangle that has only two equal sides. • Scalene is a triangle that has no equal sides.

  3. Equilateral Ex: • Equiangular Ex: • Isosceles Ex: • Scalene Ex:

  4. Parts that compose a Triangle • A triangle is always composed of 3 angles and 3 sides. • The triangle sum theorem says that the 3 angles of the triangle is allays equal to 180.

  5. 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 of the triangle. 20 20 35 100 80 100 80 100 35 80 80 80

  6. CPCT • CPCT means that if 2 triangles are congruent then all the angles and sides of both the triangles will be equal.

  7. SSS • The Side Side Side postulate states that if three sides of one triangle are congruent to three sides of another triangle, then these two triangles are congruent.

  8. SAS • If two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. 6 cm 20 20 3 cm 85 90 5 5 5 6 cm 8 cm 6 cm 85 6 cm 90 8 cm 3 cm

  9. ASA • If two angles and the included side of a triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

  10. AAS • If two angles and a non-included side of a triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

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