Naming Angles and Its Kinds
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The document provides an overview of naming angles and their types in a grade 7 mathematics curriculum. It explains the concept of angles formed by two non-collinear rays, including how to measure angles using degrees and a protractor. The document also categorizes angles as acute, right, or obtuse and provides examples for identifying and naming angles.
Naming Angles and Its Kinds
- 1. Grade 7 – Mathematics Quarter III NAMING ANGLES AND ITS KINDS
- 2. Prepared by: Jo-Ann E. Rogon
- 3. Draw and label the following. 1. Ray BA 𝑩 𝑨 2. Ray BC 𝑩 𝑪 3. 𝑩𝑨 and 𝑩𝑪 are opposite rays. 𝑨 𝑪B collinear
- 4. Can you make the figure non-collinear? 𝑨 𝑪B collinear ANGLE
- 5. ANGLES Naming an Angle Kinds of Angle
- 6. Angle •An Angle is a figure formed by two non- collinear rays with a common endpoint, called the vertex. 𝑩𝑨 and 𝑩𝑪 𝒗𝒆𝒓𝒕𝒆𝒙 𝑩 rays C vertex B A
- 7. Angle •Degrees ( ° ) – the unit used in measuring an angle. Ex: 78° • Protrator – the device used in measuring an angle. • ∠ - symbol
- 8. Angle and Points ⚫Angles can have points in the interior, in the exterior or on the angle. raysvertex D E F A B C
- 9. Naming An Angle ⚫Using 3 points ⚫Using the vertex ⚫Using a number or letter. A C B vertex B 1 ∠ ABC or ∠ CBA ∠ B ∠ 1
- 10. Using 3 points: ∠ZXY or ∠YXZ ∠ZXW or ∠WXZ ∠WXY or ∠YXW Note: Using the vertex is for only one angle. Therefore, there is no ∠ X in this figure. Using the number or letter: ∠ 1 and ∠ 2 Name the angles. vertex 2 W Y X Z 1
- 11. ⚫Using 3 points ⚫Using the vertex ⚫Using a number or letter. W Y X vertex X 3 ∠WXY or ∠YXW ∠ X ∠ 3 𝑿𝑾 and 𝑿𝒀It’s your turn!
- 12. KINDS OF ANGLES Acute Angle: - an angle whose measure is greater than 0° but less than 90. Right Angle: - an angle whose measure is exactly 90 .
- 13. KINDS OF ANGLES Obtuse Angle: - an angle whose measure is greater than 90 but less than180.
- 14. Complete the table. Name the angle and identify its kind. Name of Angle Vertex Rays (sides) Kinds of Angle W Y X Z
- 15. Name of Angle Vertex Rays (sides) Kinds of Angle W Y X Z ∠𝐖𝐗𝐘 X Right ∠𝐙𝐗𝐘 X 𝑿𝒁 and 𝑿𝒀 Obtuse ∠𝐙𝐗𝐖 X 𝑿𝒁 and 𝑿𝑾 Acute 𝑿𝑾 and 𝑿𝒀
- 16. Do you see angles in the carousel? Acute Angle Right Angle Obtuse Angle
- 17. Thank You!