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Goal – To classify triangles according to angles and sides. Different Types of Triangles There are several different types of triangles. You can classify a triangle by its sides and its angles. There are THREE different classifications for triangles based on their sides. There are FOUR different classifications for triangles based on their angles. Classifying Triangles by Their Sides EQUILATERAL – 3 congruent sides ISOSCELES – at least two sides EQUILATERAL congruent ISOSCELES SCALENE – no sides congruent SCALENE Classifying Triangles by Their Angles EQUIANGULAR – all angles are congruent ACUTE – all angles are acute EQUIANGULAR RIGHT – one right angle ACUTE RIGHT OBTUSE – one obtuse angle OBTUSE Can You Classify the Different Triangles in the Picture Below? Classify the following triangles: AED, ABC, ACD, ACE The Classifications… Triangle AED = Equilateral, Equiangular Triangle ABC = Equilateral, Equiangular Triangle ACD = Isosceles, Obtuse Triangle ACE = Scalene, Right So how did you do? Question 1 If a triangle has three Answer: unequal sides it is a A) Scalene ______ triangle. A) Scalene B) Obtuse C) Isosceles Question 2 A triangle which has Answer: three equal angles is a C) Equiangular ______ triangle. A) Acute B) Equilateral C) Equiangular Question 3 A triangle with (at least) Answer: two equal sides is a B) Isosceles ______ triangle. A) Scalene B) Isosceles C) Congruent Question 4 Answer: Two triangles that are C) Congruent equal are called ______ triangles A) Acute B) Obtuse C) Congruent Question 5 A triangle with all three Answer: sides of equal length is a A) Equilateral ______ triangle. A) Equilateral B) Right C) Equiangular Question 6 A triangle with an angle Answer: of 90° is a ______ B) Right triangle. A) Acute B) Right C) Congruent Question 7 A triangle in which all Answer: three angles are less B) Acute than 90° is a ______ triangle. A) Right B) Acute C) Scalene Question 8 A triangle in which one Answer: of the angles is greater A) Obtuse than 90° is a ______ triangle. A) Obtuse B) Isosceles C) Acute Question 9 What is the Hypotenuse Answer: of a right triangle? B) The side opposite the A) The smallest angle. right angle. B) The side opposite the right angle. C) The right angle. Word Problem 1 In triangle ABC the measure of <B is twice the measure of <A, and the measure of <C is 3 times the measure of <A. Find the number of degrees in each angle of the triangle. Word Problem 2 The measure of each base angle of an isosceles triangle is 7 times the measure of the vertex angle. Find the measure of each angle of the triangle. World Problem 3 In ABC , < A = x, <B = x+45, and m<C = 3x-15 Find the measures of the three angles What kind of triangle is ABC? Writing in Math Taylor said that if the sum of the measures of two angles of a triangle is equal to the measure of the third angle, the triangle is a right triangle. Prove or disprove Taylor’s statement. Homework Pg. 267-269 # 4-18 even, 27,29,31

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posted: | 12/3/2011 |

language: | English |

pages: | 20 |

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