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The World Of Triangles Free powerpoints at http://www.worldofteaching.comhttp://www.worldofteaching.com

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

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Acute Triangles A triangle in which all three angles are less than 90°.

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

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Right Triangles A right triangle is triangle with an angle of 90°.

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Scalene Triangles A triangle with three unequal sides.

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

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

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Equilateral Triangles An equilateral triangle is a triangle with all three sides of equal length.

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Equiangular Triangles An equiangular triangle is a triangle which has three equal angles.

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

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

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

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

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

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

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

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Question 4 Two triangles that are equal are called ______ triangles A) Acute B) Obtuse C) Congruent Answer: C) Congruent

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

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

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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

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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

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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.

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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

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Question 11 Use the Pythagorean Theorem to solve the following: a = 5 b = 12 c = ? Answer: c = 13

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ADVANCED GEOMETRY 3.6 Types of Triangles LEARNER OBJECTIVE: Students will classify triangles by sides and by angles and will complete problems and proofs.

ADVANCED GEOMETRY 3.6 Types of Triangles LEARNER OBJECTIVE: Students will classify triangles by sides and by angles and will complete problems and proofs.

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