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The World Of Triangles Mohamed Attia Mohamed copyrigh.mohamedattia120002005.blogspot.com.

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Presentation on theme: "The World Of Triangles Mohamed Attia Mohamed copyrigh.mohamedattia120002005.blogspot.com."— Presentation transcript:

1 The World Of Triangles Mohamed Attia Mohamed copyrigh.mohamedattia120002005.blogspot.com

2 Triangles A triangle is a 3- sided polygon. Every triangle has three sides and three angles. When added together, the three angles equal 180°. copyrigh.mohamedattia120002005.blogspot.com

3 Acute Triangles A triangle in which all three angles are less than 90°. copyrigh.mohamedattia120002005.blogspot.com

4 Obtuse Triangles An obtuse triangle is a triangle in which one of the angles is greater than 90°. copyrigh.mohamedattia120002005.blogspot.com

5 Right Triangles A right triangle is triangle with an angle of 90°. copyrigh.mohamedattia120002005.blogspot.com

6 Scalene Triangles A triangle with three unequal sides. copyrigh.mohamedattia120002005.blogspot.com

7 Isosceles Triangles An isosceles triangle is a triangle with (at least) two equal sides. copyrigh.mohamedattia120002005.blogspot.com

8 Isosceles Triangle Theorem The following movie shows that if two sides of a triangle are congruent, then the angles opposite those sides are congruent. copyrigh.mohamedattia120002005.blogspot.com

9 Equilateral Triangles An equilateral triangle is a triangle with all three sides of equal length. copyrigh.mohamedattia120002005.blogspot.com

10 Equiangular Triangles An equiangular triangle is a triangle which has three equal angles. copyrigh.mohamedattia120002005.blogspot.com

11 Congruent Triangles Congruent triangles are triangles whose corresponding angles and sides are congruent. They are exactly the same size and shape. copyrigh.mohamedattia120002005.blogspot.com

12 The Hypotenuse The hypotenuse of a right triangle is the triangle's longest side, i.e., the side opposite the right angle. copyrigh.mohamedattia120002005.blogspot.com

13 The Pythagorean Theorem For a right triangle with legs a and b and hypotenuse c, a 2 +b 2 =c 2. copyrigh.mohamedattia120002005.blogspot.com

14 Triangle Quiz Please complete the following quiz that covers the information that was just presented to you. copyrigh.mohamedattia120002005.blogspot.com

15 Question 1 If a triangle has three unequal sides it is a ______ triangle.  A) Scalene  B) Obtuse  C) Isosceles Answer:  A) Scalene copyrigh.mohamedattia120002005.blogspot.com

16 Question 2 A triangle which has three equal angles is a ______ triangle.  A) Acute  B) Equilateral  C) Equiangular Answer:  C) Equiangular copyrigh.mohamedattia120002005.blogspot.com

17 Question 3 A triangle with (at least) two equal sides is a ______ triangle.  A) Scalene  B) Isosceles  C) Congruent Answer:  B) Isosceles copyrigh.mohamedattia120002005.blogspot.com

18 Question 4 Two triangles that are equal are called ______ triangles  A) Acute  B) Obtuse  C) Congruent Answer:  C) Congruent copyrigh.mohamedattia120002005.blogspot.com

19 Question 5 A triangle with all three sides of equal length is a ______ triangle.  A) Equilateral  B) Right  C) Equiangular Answer:  A) Equilateral copyrigh.mohamedattia120002005.blogspot.com

20 Question 6 A triangle with an angle of 90° is a ______ triangle.  A) Acute  B) Right  C) Congruent Answer:  B) Right copyrigh.mohamedattia120002005.blogspot.com

21 Question 7 A triangle in which all three angles are less than 90° is a ______ triangle.  A) Right  B) Acute  C) Scalene Answer:  B) Acute copyrigh.mohamedattia120002005.blogspot.com

22 Question 8 A triangle in which one of the angles is greater than 90° is a ______ triangle.  A) Obtuse  B) Isosceles  C) Acute Answer:  A) Obtuse copyrigh.mohamedattia120002005.blogspot.com

23 Question 9 What is the Hypotenuse of a right triangle?  A) The smallest angle.  B) The side opposite the right angle.  C) The right angle. Answer:  B) The side opposite the right angle. copyrigh.mohamedattia120002005.blogspot.com

24 Question 10 The Pythagorean Theorem states …  A)  r 2  B) (a+b) 2 /2=c  C) a 2 +b 2 =c 2 Answer:  C) a 2 +b 2 =c 2 copyrigh.mohamedattia120002005.blogspot.com

25 Question 11 Use the Pythagorean Theorem to solve the following:  a = 5  b = 12  c = ? Answer:  c = 13 copyrigh.mohamedattia120002005.blogspot.com


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