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5-1 Classifying Triangles 4-2 Warm Up Classify each angle as acute, obtuse, or right. 1. 2. 3. 4. If the perimeter is 47, find x and the lengths of the three sides. Holt McDougal Geometry 5-1 Classifying Triangles 4-2 Learning Objectives Classify triangles by their angle measures and side lengths. Use triangle classification to find angle measures and side lengths. Holt McDougal Geometry 5-1 Classifying Triangles 4-2 A triangle ( ) is a polygon with three sides. Triangles can be classified in two ways: (1) by angle measures (2) or by side lengths. Holt McDougal Geometry 5-1 Classifying Triangles 4-2 By angle measure By side length Acute triangle Scalene Equiangular Isosceles Right Equilateral Obtuse Holt McDougal Geometry 5-1 Classifying Triangles 4-2 Triangle Classification By Angle Measures Acute Triangle Three acute angles Holt McDougal Geometry 5-1 Classifying Triangles 4-2 Triangle Classification By Angle Measures Equiangular Triangle Three congruent acute angles Holt McDougal Geometry 5-1 Classifying Triangles 4-2 Triangle Classification By Angle Measures Right Triangle One right angle Holt McDougal Geometry 5-1 Classifying Triangles 4-2 Triangle Classification By Angle Measures Obtuse Triangle One obtuse angle Holt McDougal Geometry 5-1 Classifying Triangles 4-2 Example 1A: Classifying Triangles by Angle Measures 1 3 Holt McDougal Geometry 2 4 5-1 Classifying Triangles 4-2 Triangle Classification By Side Lengths Equilateral Triangle Three congruent sides Holt McDougal Geometry 5-1 Classifying Triangles 4-2 Triangle Classification By Side Lengths Isosceles Triangle At least two congruent sides Holt McDougal Geometry 5-1 Classifying Triangles 4-2 Triangle Classification By Side Lengths Scalene Triangle No congruent sides Holt McDougal Geometry 5-1 Classifying Triangles 4-2 Example 1B: Classifying Triangles by Side length 2) 1) 3) Holt McDougal Geometry 5-1 Classifying Triangles 4-2 How to classify triangles in a coordinate plane? 1. Find the coordinates. 2. Use the distance formula to find the length. 3. Compare the length of each side of the triangle. “I DO” “You do w/partner” “You alone” Holt McDougal Geometry 5-1 Classifying Triangles 4-2 Summary about triangles Holt McDougal Geometry 5-1 Classifying Triangles 4-2 Angles! Triangles have interior angles and exterior angles. Holt McDougal Geometry 5-1 Classifying Triangles 4-2 Angles! The sum of interior angles Holt McDougal Geometry 5-1 Classifying Triangles 4-2 Find the measure of x and classify the triangles “I DO” 1 Holt McDougal Geometry 5-1 Classifying Triangles 4-2 Find the measure of x and classify the triangles “We do” 2 Holt McDougal Geometry 5-1 Classifying Triangles 4-2 Find the measure of x and classify the triangles “You w/partner” 3 Holt McDougal Geometry 5-1 Classifying Triangles 4-2 Find the measure of x and classify the triangles “You alone” 4 Holt McDougal Geometry 5-1 Classifying Triangles 4-2 Exterior Angle Theorem Holt McDougal Geometry 5-1 Classifying Triangles 4-2 Exterior Angle Theorem Examples “I DO” 1 Holt McDougal Geometry 5-1 Classifying Triangles 4-2 Exterior Angle Theorem Examples “We Do” 2 Holt McDougal Geometry 5-1 Classifying Triangles 4-2 Exterior Angle Theorem Examples “You with a Partner” 3 Holt McDougal Geometry 5-1 Classifying Triangles 4-2 Exterior Angle Theorem Examples “You Alone” 3 Holt McDougal Geometry
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