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Classifying Triangles

Classifying Triangles. Add the following to your math notes. The sum of the angle measures of EVERY triangle is 180 ° . 180°. Find the value of x. 55. 65. x. Find the value of x. x °. 135°. 28°. Find the value of x. x °. 36°. 79°. Find the value of x. x °. 45°.

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Classifying Triangles

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  1. Classifying Triangles Add the following to your math notes.

  2. The sum of the angle measures of EVERY triangle is 180°.

  3. 180°

  4. Find the value of x 55 65 x

  5. Find the value of x x° 135° 28°

  6. Find the value of x x° 36° 79°

  7. Find the value of x x° 45°

  8. Every triangle can be classified by its angles and by its sides.

  9. Classifying Triangles by Angles

  10. it is an ACUTETriangle. • If EVERY angle is less than • 90°,

  11. one is fat it’s an OBTUSEtriangle. • If the measure of ONE angle ismore than 90°

  12. If ONE angle measures 90°,

  13. it is a RIGHT triangle.

  14. Classifying Triangles by Sides

  15. No sides the same • If none of the sides have the same length, it is SCALENE.

  16. If • at least two sides measure the same, it is an ISOSCELES triangle.

  17. Try to think of an isosceles triangle as a person.

  18. The arms would be attached on the congruent sides.

  19. The pointshared by the congruent sides is the head.

  20. The two other points represent the feet.

  21. The angles by the “feet” are always congruent.

  22. Try to figure out which angles are equal.

  23. Be careful, your triangle might be “tired”.

  24. If themeasure of EACH • side is • equal, • it is… all the sides equal EQUILATERAL.

  25. All equilateral triangles are also equiangular.

  26. Can a triangle be right and isosceles? What is the measure of the other 1 two angles? 2

  27. A. 45° right triangle isosceles triangle 45°

  28. B. 60° 60° acute triangle equilateral triangle 60° equilangular triangle

  29. C. 65° acute triangle 65° isosceles triangle 50°

  30. D. 17° 135° obtuse triangle scalene triangle 28°

  31. E. 65° acute triangle 79° scalene triangle 36°

  32. F. 71° 68° acute triangle scalene triangle 41°

  33. G. 100° obtuse triangle scalene triangle 55° 25°

  34. H. 30° 120° obtuse triangle isosceles triangle 30°

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