1 / 33

CLASSIFYING TRIANGLES BY ANGLES

CLASSIFYING TRIANGLES BY ANGLES. Classifying Triangles by Angles. ACUTE. EQUIANGULAR. OBTUSE. RIGHT. ACUTE TRIANGLE. Interior Angle. All interior angles are acute (or have a measure less than 90°). Example of Acute Triangle.

gina
Télécharger la présentation

CLASSIFYING TRIANGLES BY ANGLES

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. CLASSIFYING TRIANGLES BY ANGLES

  2. Classifying Triangles by Angles • ACUTE • EQUIANGULAR • OBTUSE • RIGHT

  3. ACUTE TRIANGLE Interior Angle • All interior angles are acute (or have a measure less than 90°)

  4. Example of Acute Triangle • Phineas’s head is an acute triangle because all interior angles measure less than 90°. This is easy to remember because Phineas is a ‘cute’ character!

  5. EQUIANGULAR TRIANGLE Interior Angle • All interior angles are congruent (exactly the same measure) • All interior angles ALWAYS measure 60° for an equiangular triangle

  6. Examples of Equiangular Triangles

  7. OBTUSE TRIANGLE Obtuse Angle • ONE interior angle is obtuse (or has a measure greater than 90°) • The other two interior angles of an obtuse triangle ALWAYS are acute (or have a measure less than 90°)

  8. Example of Obtuse Triangle • Dr. Doofenshmirtz’s head is shaped like an obtuse triangle. This is easy to remember because he is an obtuse character. An obtuse character is one that is slow to learn or lacking insight.

  9. RIGHT TRIANGLE Right Angle • ONE interior angle is a right angle (or has a measure equal to 90°) • The other two angles of a right triangle are ALWAYS acute (have a measure less than 90°)

  10. Example of A Right Triangle

  11. YOU TRY • ACUTE • EQUIANGULAR • OBTUSE • RIGHT

  12. YOU TRY • ACUTE • EQUIANGULAR • OBTUSE • RIGHT

  13. YOU TRY • ACUTE • EQUIANGULAR • OBTUSE • RIGHT

  14. YOU TRY • ACUTE • EQUIANGULAR • OBTUSE • RIGHT

  15. CLASSIFYING TRIANGLES BY SIDES

  16. Classifying Triangles by Sides • EQUALATERAL • ISOSCELES • SCALENE

  17. EQUILATERAL TRIANGLE • All sides are congruent (exactly the same length) • EQUILATERAL TRIANGLES ARE ALWAYS ALSO EQUIANGULAR

  18. Examples of Equilateral Triangles

  19. ISOSCELES TRIANGLE VERTEX • Two sides are congruent (exactly the same length) • The angle between the congruent sides is called the VERTEX ANGLE

  20. Examples of Isosceles Triangles

  21. SCALENE TRIANGLE • NO sides are congruent

  22. Examples of Scalene Triangles

  23. Classifying Triangles Angles are classified first by ANGLE And then by SIDE ISOSCELES ACUTE ACUTE ISOSCELES

  24. Classifying Triangles Angles are classified first by ANGLE And then by SIDE SCALENE RIGHT RIGHTSCALENE

  25. Classifying Triangles Angles are classified first by ANGLE And then by SIDE SCALENE OBTUSE OBTUSE SCALENE

  26. YOU TRY • RIGHT ISOSCELES • RIGHT SCALENE • ACUTE ISOSCELES • EQUIANGULAR EQUILATERAL

  27. YOU TRY • ACUTE ISOSCELES • EQUIANGULAR SCALENE • OBTUSE SCALENE • RIGHT EQUILATERAL

  28. YOU TRY • ACUTE ISOSCELES • EQUIANGULAR EQUILATERAL • OBTUSE SCALENE

  29. YOU TRY • ACUTE SCALENE • OBTUSE SCALENE • OBTUSE ISOSCELES

  30. YOU TRY Given: Triangle ABC is equiangular triangle with side AB=3x-5 and side BC=2x-2. What are the lengths of the 3 sides? A Step 3 Combine ‘x’ term 3x-5=2x-2 3x-5-2x=2x-2x-2 1x-5=-2 Step 5 Plug x into original equation to find length 3x-5 3(3)-5=4 Step 1 Realize that an equiangular triangle is ALWAYS an equilateral triangle an therefore ALL sides are CONGRUENT. Step 4 Solve for x 1x-5+5=-2+5 1x=3 Step 2 AB=BC 3x-5=2x-2 B C

  31. The End Homework Worksheet Page 186: 4-9 ALL Worksheet Page 187: 1-3 ALL

  32. YOU ARE CORRECT!

  33. OH DOOFENSHMIRTZ! TRY AGAIN!

More Related