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Triangles and Angles

Triangles and Angles. Chapter 4-1. DNA. Equilateral  All three sides are . Isosceles  Two sides are . Scalene  No sides are . Triangles (classified by side length). Obtuse  Contains one obtuse . Right  Contains one right . Acute  Contains 3 acute s.

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Triangles and Angles

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  1. Triangles and Angles Chapter 4-1 DNA

  2. Equilateral  All three sides are  • Isosceles  • Two sides are  • Scalene  • No sides are  Triangles (classified by side length)

  3. Obtuse  Contains one obtuse  • Right  • Contains one right  • Acute  • Contains 3 acute s • Equiangular  • All 3 s are  Triangles (classified by angle measure)

  4. A. ARCHITECTUREThe frame of this window design is made up of many triangles. Classify ΔABC. • A • B • C • D A. acute B. equiangular C. obtuse D. right Lesson 1 CYP1

  5. B. ARCHITECTUREThe frame of this window design is made up of many triangles. Classify ΔACD. • A • B • C • D A. acute B. equiangular C. obtuse D. right Lesson 1 CYP1

  6. C. ARCHITECTUREThe frame of this window design is made up of many triangles. Classify ΔADE. • A • B • C • D A. acute B. equiangular C. obtuse D. right Lesson 1 CYP1

  7. A. Which of the following triangles are isosceles? • A • B • C • D A.ΔABC andΔABD B.ΔADE andΔAEB C.ΔBED andΔACB D.ΔACD andΔACB Lesson 1 CYP2

  8. B. Which of the following triangles is scalene? • A • B • C • D A.ΔABE B.ΔACE C.ΔADE D.ΔABD Lesson 1 CYP2

  9. Find Missing Values ALGEBRA Find d and the measure of each side of equilateral triangle KLM if KL = d + 2, LM = 12 – d, and KM = 4d – 13. Since ΔKLM is equilateral, each side has the same length. SoKL = KM. Substitution = 2 = 3d – 13 Subtr. Prop = Add. Prop = Div. Prop = 5 = d Lesson 1 Ex3

  10. Find Missing Values 4(5) – 13 20 – 13 7 (5) + 2 7 =12 – (5) = 7 Lesson 1 Ex3

  11. ALGEBRAFind x and the measure of each side of equilateral triangle ABC if AB = 6x – 8, BC = 7 + x, and AC = 13 – x. • A • B • C • D A.x = 10 and all sides are 3. B.x = 6 and all sides are 13. C.x = 3 and all sides are 10. D.x = 3 and all sides are 16. Lesson 1 CYP3

  12. Use the Distance Formula COORDINATE GEOMETRY Find the measures of the sides of ΔRTS. Classify the triangle by sides. Scalene! Lesson 1 Ex4

  13. Find the measures of the sides of ΔABC. Classify the triangle by sides. • A • B • C • D A. scalene B. isosceles C. equilateral D. cannot be determined Lesson 1 CYP4

  14. Chapter 4-1 • Pg 205, 3-8, 13-20, 37, 38, & 49 – 51. Homework

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