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

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Presentation transcript:

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

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.mohamedattia blogspot.com

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

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

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

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

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

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.mohamedattia blogspot.com

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

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

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

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

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

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

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

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

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

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

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

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

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.mohamedattia blogspot.com

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.mohamedattia blogspot.com

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.mohamedattia blogspot.com

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.mohamedattia blogspot.com

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