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8-2

8-2. Classifying Angles. Course 2. Warm Up. Problem of the Day. Lesson Presentation. 8-2. Classifying Angles. Course 2. Warm Up. 1. What percent of the model is shaded?. 71%. 2. Find the value of 5 2 + 5 3. 150. What is the percent of change if 20 is increased to 25?. 25%.

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8-2

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  1. 8-2 Classifying Angles Course 2 Warm Up Problem of the Day Lesson Presentation

  2. 8-2 Classifying Angles Course 2 Warm Up 1. What percent of the model is shaded? 71% 2. Find the value of 52 + 53. 150 • What is the percent of change • if 20 is increased to 25? 25% • On a scale drawing of a tree with a scale of 1 cm = 0.9 m, • the height of the tree is 1.2 cm. What is the actual height • of the tree? 1.08 m

  3. 8-2 Classifying Angles A Vertex 1 B C Course 2 Learn to identify angles and angle pairs. An angleis formed by two rays with a common endpoint. The two rays are the sides of the angle. The common endpoint is the vertex. Angles are measured in degrees (°).

  4. 8-2 Classifying Angles Course 2 An angle’s measure determines the type of angle it is. A right angle is an angle that that measures exactly 90°. The symbol indicates a right angle. An acute angle is an angle that measures less than90°. Anobtuse angle is an angle that measures more than 90° but less than180°. A straightangle is an angle that measures 180°.

  5. 8-2 Classifying Angles Course 2 Tell whether each angle is acute, right, obtuse or straight. A. B. acute angle obtuse angle

  6. 8-2 Classifying Angles Course 2 Insert Lesson Title Here Tell whether each angle is acute, right, obtuse, or straight. B. A. straight angle acute angle

  7. 8-2 Classifying Angles Course 2 If the sum of the measures of two angles is 90°, then the angles are complementaryangles. If the sum of the measures of two angles is 180°, then the angles are supplementary angles.

  8. 8-2 Classifying Angles Course 2 C = 90˚ Omplementary C +90˚ C C = 180˚ upplementary

  9. 8-2 Classifying Angles A • 1 B• •C Reading Math You can name this angle ABC, CBA, B, or 1. Course 2

  10. 8-2 Classifying Angles Course 2 Use the diagram to tell whether the angles are complementary, supplementary, or neither. P Q OMP and PMQ O M Since 60° + 30° = 90°, PMQ andOMP are complementary.

  11. 8-2 Classifying Angles Reading Math Read mNMO as “the measure of angle NMO.” Course 2 Use the diagram to tell whether the angles are complementary, supplementary, or neither. NMO and OMR O N R M Since 15° + 165° = 180°, NMO andOMR are supplementary.

  12. 8-2 Classifying Angles Course 2 Use the diagram to tell whether the angles are complementary, supplementary, or neither. P Q PMQ and QMR R M Since 30° + 75° = 105°, PMQ andQMR are neither complementary or supplementary.

  13. 8-2 Classifying Angles Course 2 Angles A and B are complementary. If mA is 56°, what is the mB? Angles P and Q are supplementary. If mP is 32°, what is the mQ?

  14. 8-6 Classifying Triangles Course 2 Learn to classify triangles by their side lengths and angle measures. One way to classify triangles is by the lengths of their sides.

  15. 8-6 Classifying Triangles Course 2 Triangles classified by sides A scalene triangle has no congruent sides.

  16. 8-6 Classifying Triangles Course 2 Triangles classified by sides An isosceles triangle has 2 congruent sides

  17. 8-6 Classifying Triangles Course 2 Triangles classified by sides In an equilateral triangle, all of the sides are congruent.

  18. 8-6 Classifying Triangles Course 2 Another way to classify triangles is by the measures of their angles. Triangles classified by angles In an acute triangle, all of the angles are acute.

  19. 8-6 Classifying Triangles Course 2 Triangles classified by angles An obtuse trianglehas one obtuse angle.

  20. 8-6 Classifying Triangles Course 2 Triangles classified by angles A right triangle has one right angle.

  21. 8-6 Classifying Triangles Course 2 Classify each triangle according to its sides and angles. Two congruent sides A. isosceles acute Three acute angles This is an isosceles acute triangle. B. scalene No congruent sides right One right angle This is a scalene right triangle.

  22. 8-6 Classifying Triangles Course 2 Classify each triangle according to its sides and angles. equilateral Three congruent sides C. acute Three acute angles This is an equilateral acute triangle. scalene D. No congruent sides obtuse One obtuse angle (exceeds 90°) This is a scalene obtuse triangle.

  23. 8-6 Classifying Triangles Course 2 Insert Lesson Title Here Classify each triangle according to its sides and angles. isosceles Two congruent sides E. obtuse One obtuse angle This is an isosceles obtuse triangle. Two congruent sides F. isosceles right One right angle This is an isosceles right triangle.

  24. 8-6 Classifying Triangles Course 2 Identify the different types of triangles in the figure, and determine how many of each there are. 2 Scalene ABD, BCD 2 Isosceles ACE, ABC Right 2 ABD, BCD 1 Obtuse ACE 1 Acute ABC

  25. 8-6 Classifying Triangles DJA, JDG HJI, BCD DFE DJA, ADG JDG, JHI, BCD, DEF Course 2 Insert Lesson Title Here Identify the different types of triangles in the figure, and determine how many of each there are. A B I Type How many Name J C D H Isosceles 5 F G E 2 Obtuse Acute 4

  26. 8-6 Classifying Triangles Course 2 Insert Lesson Title Here Lesson Quiz Classify each triangle according to its sides and angles. 1. 7ft, 8ft, 12ft 2. 45°, 90°, 45° 3. 12, 9, 12 4. 120°, 20°, 40° 5. Identify the different types of triangles in the figure and determine how many of each there are. scalene right isosceles obtuse 1 isosceles acute triangle, 1 equilateral triangle, 1 scalene right triangle

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