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Geometry

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Triangles are fundamental geometric shapes characterized by three sides and vertices. They can be classified based on angles and sides. Angle classifications include acute triangles (3 acute angles), equiangular triangles (3 congruent acute angles), obtuse triangles (1 obtuse angle), and right triangles (1 right angle). Side classifications consist of equilateral triangles (3 congruent sides), isosceles triangles (at least 2 congruent sides), and scalene triangles (no congruent sides). This guide provides insights into how to classify triangles effectively.

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Geometry

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  1. Section 4.1 Classifying Triangles Geometry

  2. Triangle – 3-sided polygon named using its 3 vertices • Triangles are classified in two ways: sides and angles.

  3. Angle Classifications • All triangles have at least 2 acute angles, the third is used to classify the angle. • Acute triangle - 3 acute angles • Equiangular triangle – 3 congruent acute angles • Obtuse triangle - 1 obtuse angle • Right triangle - 1 right angle

  4. Example 1 • Classify each triangle as acute, equiangular, obtuse, or right. A. C. 101° B. 40° 60° 60° 60° D. 70° 90° 70°

  5. Side Classifications • Triangles are also classified by the number of congruent sides they have. • Equilateral triangle - 3 congruent sides • Isosceles triangle – at least 2 congruent sides • Scalene triangle – no congruent sides

  6. Example 2 • Classify each triangle equilateral, isosceles, or scalene. 60° 8 in 8 in 60° 60° 10 ft 6 ft 8 ft 4 in

  7. Isosceles Triangles Leg Leg Base

  8. Example 3 M Find the measures of the 3 sides of isosceles triangle KLM with base KL. 4x - 13 12 - x K L x + 6

  9. Homework • Page 239: 15-43 all

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