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

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. right. acute. obtuse. x = 5; 8; 16; 23. Today’s Goals!. 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. 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. right acute obtuse x = 5; 8; 16; 23

  2. Today’s Goals! Classify triangles by their angle measures and side lengths. Use triangle classification to find angle measures and side lengths.

  3. Recall: • Triangle - ( ) is a polygon with three sides. • Triangles can be classified in two ways: • by their angle measures • by their side lengths.

  4. C A AB, BC, and AC are the sides of ABC. B Sides - Vertices - A, B, C are the triangle's vertices.

  5. By Angle Measures Acute Triangle Three acute angles

  6. By Angle Measures Equiangular Triangle Three congruent acute angles

  7. By Angle Measures Right Triangle One right angle

  8. By Angle Measures Obtuse Triangle One obtuse angle

  9. Use the figure to classify each triangle by its angle measures. 1. DFG 2. DEG 3. EFG

  10. By Side Lengths Equilateral Triangle Three congruent sides

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

  12. By Side Lengths Scalene Triangle No congruent sides

  13. Classify each triangle by its side lengths. 1. EGF 2. DEF 3. DFG

  14. ACT Tip: Classifying Triangles Triangles are classified by two names “First name” – Angle measure “Last name” – Side lengths

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

  16. Solve for x! Find the side lengths of JKL. Step 1 Find the value of x. Notice Congruent Marks JK = KL 4x – 10.7 = 2x + 6.3 2x = 17.0 x = 8.5 Step 2 Substitute 8.5 into the expressions to find the side lengths. JK = 23.3 KL = 23.3 JL = 44.5

  17. Find the side lengths of equilateral FGH. FG = GH = FH 3y – 4 = 2y + 3 y = 7 FG = 17 FG = GH = FH = 17

  18. 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

  19. Assignment • P. 219 12-19,23-34

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