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Lesson 10-4 Pages 428-431 Triangles
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What you will learn! How to identify and classify triangles.
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Triangle Congruent segments Acute triangle Scalene triangle Right triangle Isosceles triangle Obtuse triangle Equilateral triangle
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What you really need to know! A triangle is a figure with three sides and three angles. The sum of the measures of the angles of a triangle is 180. You can use this to find a missing angle measure in a triangle.
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Triangles can be classified by the measures of their angles: 1. An acute triangle has three acute angles. 2. An obtuse triangle has one obtuse angle. 3. A right triangle has one right angle.
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Triangles can also be classified by the lengths of their sides: 1. In a scalene triangle, all sides have different lengths. 2. An isosceles triangle has at least two congruent sides. 3. An equilateral triangle has all three sides congruent.
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What you really need to know! Sides that are the same length are congruent segments and are often marked by tick marks.
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Example 1: An airplane has wings that are shaped like triangles. Find the missing measure.
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112 + 47 = 159 180 – 159 = 21 21°
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Example 2: Find m A in ∆ABC if m A = m B and m C = 80°. 180 = m A + m B + m C
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180 = m A + m B + 80 100 = 50 + 50 100 = m A + m B m A = 50° m B = 50°
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Example 3: Classify the triangle by its angles and by its sides. O btuse Isosceles 30° 120°
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Example 4: Classify the triangle by its angles and by its sides. Acute Scalene 80° 70° 30°
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Page 430 Guided Practice #’s 3-7
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Pages 428-429 with someone at home and study examples! Read:
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Homework: Page 430-431 #’s 8-24 all #’s 27-34 all Lesson Check 10-4
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Page 588 Lesson 10-4
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