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## The World Of Triangles

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**The World Of Triangles**Powerpoint hosted on www.worldofteaching.com Please visit for 100’s more free powerpoints**Triangles**• A triangle is a 3-sided polygon. Every triangle has three sides and three angles. When added together, the three angles equal 180°.**Acute Triangles**• A triangle in which all three angles are less than 90°.**Obtuse Triangles**• An obtuse triangle is a triangle in which one of the angles is greater than 90°.**Right Triangles**• A right triangle is triangle with an angle of 90°.**Scalene Triangles**• A triangle with three unequal sides.**Isosceles Triangles**• An isosceles triangle is a triangle with (at least) two equal sides.**Isosceles Triangle Theorem**• The following movie shows that if two sides of a triangle are congruent, then the angles opposite those sides are congruent.**Equilateral Triangles**• An equilateral triangle is a triangle with all three sides of equal length.**Equiangular Triangles**• An equiangular triangle is a triangle which has three equal angles.**Congruent Triangles**• Congruent triangles are triangles whose corresponding angles and sides are congruent. • They are exactly the same size and shape.**The Hypotenuse**• The hypotenuse of a right triangle is the triangle's longest side, i.e., the side opposite the right angle.**The Pythagorean Theorem**• For a right triangle with legs a and b and hypotenuse c, a2+b2=c2.**Triangle Quiz**• Please complete the following quiz that covers the information that was just presented to you.**If a triangle has three unequal sides it is a ______**triangle. A) Scalene B) Obtuse C) Isosceles Answer: A) Scalene Question 1**A triangle which has three equal angles is a ______**triangle. A) Acute B) Equilateral C) Equiangular Answer: C) Equiangular Question 2**A triangle with (at least) two equal sides is a ______**triangle. A) Scalene B) Isosceles C) Congruent Answer: B) Isosceles Question 3**Two triangles that are equal are called ______ triangles**A) Acute B) Obtuse C) Congruent Answer: C) Congruent Question 4**A triangle with all three sides of equal length is a ______**triangle. A) Equilateral B) Right C) Equiangular Answer: A) Equilateral Question 5**A triangle with an angle of 90° is a ______ triangle.**A) Acute B) Right C) Congruent Answer: B) Right Question 6**A triangle in which all three angles are less than 90° is a**______ triangle. A) Right B) Acute C) Scalene Answer: B) Acute Question 7**A triangle in which one of the angles is greater than 90°**is a ______ triangle. A) Obtuse B) Isosceles C) Acute Answer: A) Obtuse Question 8**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. Question 9**The Pythagorean Theorem states …**A) pr2 B) (a+b)2/2=c C) a2+b2=c2 Answer: C) a2+b2=c2 Question 10**Use the Pythagorean Theorem to solve the following:**a = 5 b = 12 c = ? Answer: c = 13 Question 11