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Classification of Triangles Table of Contents Objective Review Definition of a Triangle Samples of Triangular Objects Types of angles Congruence of Line Segments According to Angle Measure According to Length of sides Review Questions Objective: At the end of the lesson, the students should be able to classify triangles. Triangle It is a three sided polygon. A AC AB B BC C Samples of Triangles that can be seen around us. Acute Angle -It is an angle whose measure is less than 900. B A 300 C <BAC which is an acute angle. Right Angle -It is an angle whose measure is equal to 900. 900 Obtuse Angle - It is an angle whose measure is greater than 0 0 90 but less than 180 . 1500 How can we say that two segments are Congruent ? *Two are measuresegments of AB = measure of CD congruent if and A B only if they have C D equal length. 10 cm 10 cm CLASSIFICATION OF TRIANGLES According to angles According to sides *ACUTE TRIANGLE -All the angles of the triangle are acute. K <J,<K,<L are all acute angles. 720 600 J 48O L RIGHT TRIANGLE N -An angle in a triangle is a right angle. HYPOTENUSE leg 900 M leg <M is a right angle. O The side opposite the right angle of a right triangle is called the hypotenuse. The other sides are called legs. OBTUSE TRIANGLE - An angle in a triangle is an obtuse angle. Q <P is an obtuse angle. 1280 P R SCALENE TRIANGLE -No two sides are congruent. B AB ~ = BC ~ = CA A 9 cm C ISOSCELES TRIANGLE -two sides of the are congruent. E leg D The two equal sides of an isosceles triangle are called legs. The third side is called the base. leg base DE ~ = FE F EQUILATERAL TRIANGLE -Three sides are congruent. H GH =~ HI ~ = GI G I THE END!!! Mr.