Draw a rough diagram of two angles such that there? A) One point is co...
The figure is in the attachment
a) ∠AOB & ∠POQ have one point in common. The common point is O.
b) ∠POB & ∠AOB have 2 common points . The common points are B & O.
c) ∠POB & ∠AOB have 3 common points . The common points are B ,C & O.
d) ∠POB & ∠AOB have 4 common points . The common points are B ,C , D & O.
e) ∠AOB & ∠BOC have Common ray OB.
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Draw a rough diagram of two angles such that there? A) One point is co...
Understanding Common Points and Rays in Angles
When discussing angles, it's important to visualize how they can share points or rays. Here’s a breakdown of scenarios with varying common elements.
A) One Point Common
- Imagine two angles that intersect at a single point, known as the vertex.
- Example: Angle AOB and Angle BOC share point B.
B) Two Points Common
- Here, two angles share two points, typically when they overlap partially.
- Example: Angle AOB and Angle BOC share points B and C.
C) Three Points Common
- In this configuration, the angles intersect and share three points, creating a more complex situation.
- Example: Angle AOB, Angle BOC, and Angle COD share points B, C, and D.
D) Four Points Common
- This is a rare case where angles overlap significantly, sharing four distinct points.
- Example: Angle AOB, Angle BOC, Angle COD, and Angle DOE share points A, B, C, and D.
E) One Ray Common
- In this scenario, two angles share a single ray that forms part of both angles.
- Example: Angle AOB and Angle AOC share ray OA.
Conclusion
Understanding how angles can share points or rays helps in visualizing geometric relationships. Each scenario provides insight into how angles interact within geometric figures. For more clarity and visual representation, resources like EduRev can be beneficial.
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