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Classifying Triangles: Sides and Angles

Learn about triangles and how to classify them based on their sides and angles. Identify different types such as scalene, isosceles, and equilateral triangles. Understand the parts of triangles like legs, base, and vertex angle.

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Classifying Triangles: Sides and Angles

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  1. SAT questions • Answers D,C,C,D

  2. Section 4.1 – Classifying Triangles November 11, 2009

  3. Triangle defined • 3 sided polygon • POLYGON defined: a closed figure in a plane that is made up of segments, called sides that intersect only at their endpoints, called vertices.

  4. Triangles are named by: Sides and Angles. • SIDES • Scalene – no sides are congruent • Isosceles – 2 sides are congruent • Equilateral – 3 sides are congruent

  5. Triangles are names by Sides and Angles: • ANGLES • Acute – all 3 angles are acute • Obtuse – one angle is obtuse • Right – one angle is 90º • Equiangular – all angles are equal (60º)

  6. Name each triangle by its SIDES and ANGLES 1. 3. 2.

  7. Parts of Triangles • Isosceles Triangles: • Legs – 2 congruent sides • Base – side opposite the vertex < • Vertex < - angle formed by the legs • Base <s – 2 angles opposite the legs VERTEX ANGLE LEG LEG BASE ANGLE BASE ANGLE BASE

  8. Parts of an Isosceles Triangle • Side Opposite <EDF : FE • Angle Opposite DE : <F

  9. Parts of a Right Triangle • Hypotenuse: side opposite the right angle • Legs: two sides adjacent to the right angle ACUTE ANGLES LEG HYPOTENUSE RIGHT ANGLE LEG

  10. Labeling a Triangle A. List sides - List angles - B. C. Side and angles opposite each other – <A <B <C

  11. HOMEWORK: PRACTICE WORKBOOK 4 – 1 #1-10 * You may use a classroom protractor for #8 & 9 if you don’t have one. Return it at the end of class.

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