In which of the diagrams are the angles vertically opposite?
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In which of the diagrams are the angles vertically opposite?
Remember the definition of angles opposite by the vertex:
Angles opposite by the vertex are angles whose formation is possible when two lines cross, and they are formed at the point of intersection, one facing the other. The acute angles are equal in size.
The drawing in answer A corresponds to this definition.
If one of two corresponding angles is a right angle, then the other angle will also be a right angle.
Look for angles that are directly across from each other at the intersection point. They should have no shared sides and be separated by the other two angles.
Yes, always! This is a fundamental property. If and are vertically opposite, then .
Adjacent angles share a common side and add up to 180°. Vertically opposite angles are across from each other, don't share sides, and are equal in measure.
No! Vertically opposite angles only form when two straight lines intersect. You need exactly two lines crossing to create four angles, where opposite pairs are vertically opposite.
In diagram B, and are directly across from each other where two straight lines intersect. In the other diagrams, the angles are either adjacent or don't have the proper line intersection.
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