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Transcript
8-6 Classifying Triangles Learn to classify triangles by their side lengths and angle measures. Course 2 8-6 Classifying Insert Lesson Title Here Triangles Vocabulary scalene triangle isosceles triangle equilateral triangle acute triangle obtuse triangle right triangle Course 2 8-6 Classifying Triangles One way to classify triangles is by the lengths of their sides. Triangles classified by sides A scalene triangle has no congruent sides. Course 2 8-6 Classifying Triangles One way to classify triangles is by the lengths of their sides. Triangles classified by sides An isosceles triangle has at least 2 congruent sides Course 2 8-6 Classifying Triangles One way to classify triangles is by the lengths of their sides. Triangles classified by sides In an equilateral triangle, all of the sides are congruent. Course 2 8-6 Classifying Triangles One way to classify triangles is by the lengths of their sides. Another way is by the measures of their angles. Triangles classified by angles In an acute triangle, all of the angles are acute. Course 2 8-6 Classifying Triangles One way to classify triangles is by the lengths of their sides. Another way is by the measures of their angles. Triangles classified by angles An obtuse triangle has one obtuse angle. Course 2 8-6 Classifying Triangles One way to classify triangles is by the lengths of their sides. Another way is by the measures of their angles. Triangles classified by angles A right triangle has one right angle. Course 2 8-6 Classifying Triangles Additional Example 1: Classifying Triangles Classify each triangle according to its sides and angles. A. isosceles Two congruent sides acute Three acute angles This is an isosceles acute triangle. B. scalene right No congruent sides One right angle This is a scalene right triangle. Course 2 8-6 Classifying Triangles Additional Example 1: Classifying Triangles Classify each triangle according to its sides and angles. C. equilateral Three congruent sides acute Three acute angles This is a equilateral acute triangle. D. scalene right No congruent sides One right angle This is a scalene right triangle. Course 2 8-6 Insert Lesson Title Here Classifying Triangles Check It Out: Example 1 Classify each triangle according to its sides and angles. A. isosceles Two congruent sides obtuse One obtuse angle This is an isosceles obtuse triangle. B. isosceles right Two congruent sides One right angle This is an isosceles right triangle. Course 2 8-6 Insert Lesson Title Here Classifying Triangles Check It Out: Example 1 Classify each triangle according to its sides and angles. C. scalene obtuse No congruent sides One angle exceeding 90° This is a scalene obtuse triangle. D. scalene obtuse No congruent sides One angle exceeding 90° This is a scalene obtuse triangle. Course 2