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liseli
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4-1. Classifying Triangles. Holt Geometry. Warm Up. Lesson Presentation. Lesson Quiz. Do Now 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. Objectives.

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  1. 4-1 Classifying Triangles Holt Geometry Warm Up Lesson Presentation Lesson Quiz

  2. Do Now 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.

  3. Objectives TSW classify triangles by their angle measures and side lengths. TSW use triangle classification to find angle measures and side lengths.

  4. Vocabulary acute triangle equiangular triangle right triangle obtuse triangle equilateral triangle isosceles triangle scalene triangle

  5. Recall that a triangle ( ) is a polygon with three sides. Triangles can be classified in two ways: by their angle measures or by their side lengths.

  6. C A AB, BC, and AC are the sides of ABC. B A, B, C are the triangle's vertices.

  7. By Angle Measures Acute Triangle Three acute angles

  8. By Angle Measures Equiangular Triangle Three congruent acute angles

  9. By Angle Measures Right Triangle One right angle

  10. By Angle Measures Obtuse Triangle One obtuse angle

  11. Example 1: Classifying Triangles by Angle Measures Classify BDC by its angle measures. Classify ABD by its angle measures.

  12. Example 2 Classify FHG by its angle measures.

  13. By Side Lengths Equilateral Triangle Three congruent sides

  14. By Side Lengths Isosceles Triangle At least two congruent sides

  15. By Side Lengths Scalene Triangle No congruent sides

  16. Remember! When you look at a figure, you cannot assume segments are congruent based on appearance. They must be marked as congruent.

  17. Example 3: Classifying Triangles by Side Lengths Classify EHF by its side lengths. Classify EHGby its side lengths.

  18. Example 4 Classify ACD by its side lengths.

  19. Example 5: Using Triangle Classification Find the side lengths of JKL.

  20. Example 6 Find the side lengths of equilateral FGH.

  21. Example 7: Application A steel mill produces roof supports by welding pieces of steel beams into equilateral triangles. Each side of the triangle is 18 feet long. How many triangles can be formed from 420 feet of steel beam?

  22. Example 8 Each measure is the side length of an equilateral triangle. Determine how many 7 in. triangles can be formed from a 100 in. piece of steel.

  23. Example 9 Each measure is the side length of an equilateral triangle. Determine how many 10 in. triangles can be formed from a 100 in. piece of steel.

  24. Lesson Quiz Classify each triangle by its angles and sides. 1. MNQ 2.NQP 3. MNP 4. Find the side lengths of the triangle.

  25. Lesson Quiz Classify each triangle by its angles and sides. 1. MNQ 2.NQP 3. MNP 4. Find the side lengths of the triangle. acute; equilateral obtuse; scalene acute; scalene 29; 29; 23