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The World Of Triangles
Triangles <ul><li>A triangle is a 3-sided polygon.  Every triangle has three sides and three angles, which when added toge...
Acute Triangles <ul><li>A triangle in which all three angles are less than 90°. </li></ul>
Obtuse Triangles <ul><li>An obtuse triangle is a triangle in which one of the angles is greater than 90°. </li></ul>
Right Triangles <ul><li>A right triangle is triangle with an angle of 90°. </li></ul>
Scalene Triangles <ul><li>A triangle with three unequal sides.  </li></ul>
Isosceles Triangles <ul><li>An isosceles triangle is a triangle with (at least) two equal sides.  </li></ul>
Isosceles Triangle Theorem  <ul><li>The following movie shows that if two sides of a triangle are congruent, then the angl...
Equilateral Triangles <ul><li>An equilateral triangle is a triangle with all three sides of equal length.  </li></ul>
Equiangular Triangles <ul><li>An equiangular triangle is a triangle which has three equal angles.  </li></ul>
Congruent Triangles <ul><li>Congruent triangles are triangles whose corresponding angles and sides are congruent.   </li><...
The Hypotenuse <ul><li>The hypotenuse of a right triangle is the triangle's longest side, i.e., the side opposite the righ...
The Pythagorean Theorem <ul><li>For a right triangle with legs  a  and  b  and hypotenuse  c , a 2 +b 2 =c 2 .  </li></ul>
Triangle Quiz <ul><li>Please complete the following quiz that covers the information that was just presented to you. </li>...
Question 1 <ul><li>If a triangle has three unequal sides it is a ______ triangle. </li></ul><ul><ul><li>A) Scalene </li></...
Question 2 <ul><li>A triangle which has three equal angles is a ______ triangle. </li></ul><ul><ul><li>A) Acute </li></ul>...
Question 3 <ul><li>A triangle with (at least) two equal sides is a ______ triangle. </li></ul><ul><ul><li>A) Scalene </li>...
Question 4 <ul><li>Two triangles that are equal are called ______ triangles </li></ul><ul><ul><li>A) Acute  </li></ul></ul...
Question 5 <ul><li>A triangle with all three sides of equal length is a ______ triangle. </li></ul><ul><ul><li>A) Equilate...
Question 6 <ul><li>A triangle with an angle of 90° is a ______ triangle. </li></ul><ul><ul><li>A) Acute </li></ul></ul><ul...
Question 7 <ul><li>A triangle in which all three angles are less than 90° is a ______ triangle. </li></ul><ul><ul><li>A) R...
Question 8 <ul><li>A triangle in which one of the angles is greater than 90° is a ______ triangle. </li></ul><ul><ul><li>A...
Question 9 <ul><li>What is the Hypotenuse of a right triangle? </li></ul><ul><ul><li>A) The smallest angle. </li></ul></ul...
Question 10 <ul><li>The Pythagorean Theorem states … </li></ul><ul><ul><li>A)   r 2 </li></ul></ul><ul><ul><li>B) (a+b) 2...
Question 11 <ul><li>Use the Pythagorean Theorem to solve the following: </li></ul><ul><ul><li>a =  5 </li></ul></ul><ul><u...
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World of triangles ok12965430821296617954

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Transcript of "World of triangles ok12965430821296617954"

  1. 1. The World Of Triangles
  2. 2. Triangles <ul><li>A triangle is a 3-sided polygon. Every triangle has three sides and three angles, which when added together equal 180°. </li></ul>
  3. 3. Acute Triangles <ul><li>A triangle in which all three angles are less than 90°. </li></ul>
  4. 4. Obtuse Triangles <ul><li>An obtuse triangle is a triangle in which one of the angles is greater than 90°. </li></ul>
  5. 5. Right Triangles <ul><li>A right triangle is triangle with an angle of 90°. </li></ul>
  6. 6. Scalene Triangles <ul><li>A triangle with three unequal sides. </li></ul>
  7. 7. Isosceles Triangles <ul><li>An isosceles triangle is a triangle with (at least) two equal sides. </li></ul>
  8. 8. Isosceles Triangle Theorem <ul><li>The following movie shows that if two sides of a triangle are congruent, then the angles opposite those sides are congruent. </li></ul>
  9. 9. Equilateral Triangles <ul><li>An equilateral triangle is a triangle with all three sides of equal length. </li></ul>
  10. 10. Equiangular Triangles <ul><li>An equiangular triangle is a triangle which has three equal angles. </li></ul>
  11. 11. Congruent Triangles <ul><li>Congruent triangles are triangles whose corresponding angles and sides are congruent.  </li></ul><ul><li>They are exactly the same size and shape. </li></ul>
  12. 12. The Hypotenuse <ul><li>The hypotenuse of a right triangle is the triangle's longest side, i.e., the side opposite the right angle. </li></ul>
  13. 13. The Pythagorean Theorem <ul><li>For a right triangle with legs a and b and hypotenuse c , a 2 +b 2 =c 2 . </li></ul>
  14. 14. Triangle Quiz <ul><li>Please complete the following quiz that covers the information that was just presented to you. </li></ul>
  15. 15. Question 1 <ul><li>If a triangle has three unequal sides it is a ______ triangle. </li></ul><ul><ul><li>A) Scalene </li></ul></ul><ul><ul><li>B) Obtuse </li></ul></ul><ul><ul><li>C) Isosceles </li></ul></ul><ul><li>Answer: </li></ul><ul><ul><li>A) Scalene </li></ul></ul>
  16. 16. Question 2 <ul><li>A triangle which has three equal angles is a ______ triangle. </li></ul><ul><ul><li>A) Acute </li></ul></ul><ul><ul><li>B) Equilateral </li></ul></ul><ul><ul><li>C) Equiangular </li></ul></ul><ul><li>Answer: </li></ul><ul><ul><li>C) Equiangular </li></ul></ul>
  17. 17. Question 3 <ul><li>A triangle with (at least) two equal sides is a ______ triangle. </li></ul><ul><ul><li>A) Scalene </li></ul></ul><ul><ul><li>B) Isosceles </li></ul></ul><ul><ul><li>C) Congruent </li></ul></ul><ul><li>Answer: </li></ul><ul><ul><li>B) Isosceles </li></ul></ul>
  18. 18. Question 4 <ul><li>Two triangles that are equal are called ______ triangles </li></ul><ul><ul><li>A) Acute </li></ul></ul><ul><ul><li>B) Obtuse </li></ul></ul><ul><ul><li>C) Congruent </li></ul></ul><ul><li>Answer: </li></ul><ul><ul><li>C) Congruent </li></ul></ul>
  19. 19. Question 5 <ul><li>A triangle with all three sides of equal length is a ______ triangle. </li></ul><ul><ul><li>A) Equilateral </li></ul></ul><ul><ul><li>B) Right </li></ul></ul><ul><ul><li>C) Equiangular </li></ul></ul><ul><li>Answer: </li></ul><ul><ul><li>A) Equilateral </li></ul></ul>
  20. 20. Question 6 <ul><li>A triangle with an angle of 90° is a ______ triangle. </li></ul><ul><ul><li>A) Acute </li></ul></ul><ul><ul><li>B) Right </li></ul></ul><ul><ul><li>C) Congruent </li></ul></ul><ul><li>Answer: </li></ul><ul><ul><li>B) Right </li></ul></ul>
  21. 21. Question 7 <ul><li>A triangle in which all three angles are less than 90° is a ______ triangle. </li></ul><ul><ul><li>A) Right </li></ul></ul><ul><ul><li>B) Acute </li></ul></ul><ul><ul><li>C) Scalene </li></ul></ul><ul><li>Answer: </li></ul><ul><ul><li>B) Acute </li></ul></ul>
  22. 22. Question 8 <ul><li>A triangle in which one of the angles is greater than 90° is a ______ triangle. </li></ul><ul><ul><li>A) Obtuse </li></ul></ul><ul><ul><li>B) Isosceles </li></ul></ul><ul><ul><li>C) Acute </li></ul></ul><ul><li>Answer: </li></ul><ul><ul><li>A) Obtuse </li></ul></ul>
  23. 23. Question 9 <ul><li>What is the Hypotenuse of a right triangle? </li></ul><ul><ul><li>A) The smallest angle. </li></ul></ul><ul><ul><li>B) The side opposite the right angle. </li></ul></ul><ul><ul><li>C) The right angle. </li></ul></ul><ul><li>Answer: </li></ul><ul><ul><li>B) The side opposite the right angle. </li></ul></ul>
  24. 24. Question 10 <ul><li>The Pythagorean Theorem states … </li></ul><ul><ul><li>A)  r 2 </li></ul></ul><ul><ul><li>B) (a+b) 2 /2=c </li></ul></ul><ul><ul><li>C) a 2 +b 2 =c 2 </li></ul></ul><ul><li>Answer: </li></ul><ul><ul><li>C) a 2 +b 2 =c 2 </li></ul></ul>
  25. 25. Question 11 <ul><li>Use the Pythagorean Theorem to solve the following: </li></ul><ul><ul><li>a = 5 </li></ul></ul><ul><ul><li>b = 12 </li></ul></ul><ul><ul><li>c = ? </li></ul></ul><ul><li>Answer: </li></ul><ul><ul><li>c = 13 </li></ul></ul>
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