1 / 20

Journal

Journal. Sebastian Busto 9-3 . Triangles. There are three types of triangles and there are 4 types of classifications. . Types of ∆ Obtuse ∆ Right ∆ Acute ∆ The types of classifications: Equilateral Scalene Isosceles. Classification of Triangles.

maida
Download Presentation

Journal

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Journal Sebastian Busto 9-3

  2. Triangles There are three types of triangles and there are 4 types of classifications. • Types of ∆ • Obtuse ∆ • Right ∆ • Acute ∆ • The types of classifications: • Equilateral • Scalene • Isosceles

  3. Classification of Triangles A triangle can be classify by side lengths, as equilateral: if the three sides of the triangle are congruent, isosceles: if two sides of the triangles are congruent, and scalene: if non of the sides of the triangle are congruent. The triangle can also be classify by its angles, if it is acute: then the three angles are acute, if it is obtuse, then one angle is obtuse, if it is right, then one of the angles must be right.

  4. Examples: 8 cm 10 cm 20 cm 13 cm 22 cm 13 cm By side: Isosceles By angle: Right By side: Scalene By angle Obtuse 15 cm 3 cm 3 cm 10 cm 3 cm 10 cm By side: Equilateral By angle: Acute By side: Isosceles By angle: Right

  5. Obtuse Triangle An Obtuse triangle has an angle with a measurement of 90˚

  6. Acute Triangle An acute triangle is a triangle that has three sides measurements are less than 90 ˚

  7. Right Triangle An right triangle is a triangle that has one angle that measures 90 ˚

  8. Isosceles Triangles Has two congruent sides

  9. Scalene An Scalene triangle has no congruent sides

  10. Equilateral All three sides of the triangle are congruent.

  11. Parts of Triangles Interior Angles: are angles that are inside of the triangle. Exterior Angles: Are angles that are outside of the triangle. Triangle Sum Theorem: The sum of 3 angles of the triangle sum up to 180.

  12. Interior Angles The interior Angles are the angles that are inside a triangle.

  13. Exterior Angles The exterior angles are the angles that are outside of the triangles.

  14. Triangle Sum Theorem The sum of the three angles of any triangle must add up to 180. 60 60 90 30 60 60 50 80 50

  15. Exterior Angle Theorem Exterior angle theorem: In a triangle the exterior of the angle will always be equal to the sum of the two non adjacent angles. It can be used to find missing angles. 60 ˚ 35 ˚ 70˚ 60 + 35 = X X = 95 ˚ X X ˚ 25 ˚ X 25 + X = 70 -25 -25 X= 45 ˚ 5x ˚ 102 ˚ X + 5X = 102 6X = 102 /6 /6 X = 17

  16. Congruence Congruence means to shapes that have the same measure. The parts with the same measure are called corresponding. To write a congruent statement between two figures the corresponding parts most be written in the same order. Corresponding parts of Congruent ∆: K L H • ∆ HIJ ∆ KLM M J I • If ∆ MNO ∆ PQR • Then ∆ MNO ∆PQR • If ∆ <UVW ∆ XYZ • Then <UVW ∆ XYZ

  17. SSS (Side Side Side) Side – Side – Side: if the 3 sides of one triangle are congruent to the three sides of another triangle then the triangles are congruent. Given JK ML JM LK Prove: < L <L

  18. SAS (Side Angle Side) Side – Angle – Side: if 2 sides and the adjacent angle between are congruent on two triangles then the triangles are congruent.

  19. ASA (Angle Side Angle) Angles – Side – angle if two angles of a triangle and the side between them are congruent.

  20. AAS ( Angle Angle Side) Angle – Angle – Side: if two angles and the non-adjacent side of one triangle is congruent to the two angles and non-adjacent side of another triangle then the two triangles are congruent.

More Related