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Warm Up Classify each angle as acute, obtuse, or right. 1. 2. 3.

5-1. 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. 5-1. Learning Objectives. Classify triangles by their angle measures and side lengths.

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Warm Up Classify each angle as acute, obtuse, or right. 1. 2. 3.

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  1. 5-1 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.

  2. 5-1 Learning Objectives Classify triangles by their angle measures and side lengths. Use triangle classification to find angle measures and side lengths.

  3. 5-1 Atriangle( ) is a polygon with three sides. Triangles can be classified in two ways: (1) by angle measures (2) or by side lengths.

  4. 5-1 By angle measure By side length Acute triangle Scalene Equiangular Isosceles Right Equilateral Obtuse

  5. 5-1 By Angle Measures Acute Triangle Three acute angles

  6. 5-1 By Angle Measures Equiangular Triangle Three congruent acute angles

  7. 5-1 By Angle Measures Right Triangle One right angle

  8. 5-1 By Angle Measures Obtuse Triangle One obtuse angle

  9. 5-1 Example 1A: Classifying Triangles by Angle Measures 1 2 3 4

  10. 5-1 By Side Lengths Equilateral Triangle Three congruent sides

  11. 5-1 By Side Lengths Isosceles Triangle At least two congruent sides

  12. 5-1 By Side Lengths Scalene Triangle No congruent sides

  13. 5-1 Example 1B: Classifying Triangles by Side length 2) 1) 3)

  14. 5-1 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”

  15. 5-1 Summary about triangles

  16. 5-1 Angles! Triangles have interior angles and exterior angles.

  17. 5-1 Angles! The sum of interior angles

  18. 5-1 Find the measure of x and classify the triangles “I DO” 1

  19. 5-1 Find the measure of x and classify the triangles “We do” 2

  20. 5-1 Find the measure of x and classify the triangles “You w/partner” 3

  21. 5-1 Find the measure of x and classify the triangles “You alone” 4

  22. 5-1 Exterior Angle Theorem

  23. 5-1 Exterior Angle Theorem Examples “I DO” 1

  24. 5-1 Exterior Angle Theorem Examples “We Do” 2

  25. 5-1 Exterior Angle Theorem Examples “You with a Partner” 3

  26. 5-1 Exterior Angle Theorem Examples “You Alone” 3

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