Vertically Opposite Angles Flashcards

GCSE Mathematics (Edexcel) 1MA1

Vertically Opposite Angles

Angles that are opposite each other when two lines intersect. They are always equal.

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Terms in this set (10)

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Vertically Opposite Angles

Angles that are opposite each other when two lines intersect. They are always equal.

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Key Property of Vertically Opposite Angles

Vertically opposite angles are always equal.

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Intersection of Two Lines

When two lines intersect, they form two pairs of vertically opposite angles.

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Example of Vertically Opposite Angles

If one angle is 50°, the vertically opposite angle is also 50°.

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How to Identify Vertically Opposite Angles

Look for angles that are directly opposite each other at the intersection of two lines.

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Relationship Between Adjacent and Vertically Opposite Angles

Adjacent angles at an intersection are supplementary (add up to 180°), while vertically opposite angles are equal.

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Diagram of Vertically Opposite Angles

In a diagram, vertically opposite angles are marked with the same symbol to show they are equal.

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Real-Life Example of Vertically Opposite Angles

The angles formed by the hands of a clock at certain times can be vertically opposite.

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Proof of Vertically Opposite Angles

The equality of vertically opposite angles can be proven using the fact that adjacent angles on a straight line add up to 180°.

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Common Misconception About Vertically Opposite Angles

Vertically opposite angles are not the same as adjacent angles. Adjacent angles share a common side, while vertically opposite angles do not.

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