Vertical Angles

Pronunciation: /ˈvɜr tɪ kəl ˈæŋ gəlz/ ?

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Manipulative 1: Vertical angles.

Vertical angles are a pair of angles formed by intersecting lines that are opposite each other. Each pair of intersecting lines forms four angles and two pair of vertical angles.

Vertical Angle Congruence Theorem

The Vertical Angle Congruence Theorem shows that vertical angles are always congruent.

StepDescriptionJustification
1Angles 1 and 2 are supplementary.The definition of supplementary angles.
2Angles 2 and 3 are supplementary.The definition of supplementary angles.
3Angles 1 and 3 are congruent. Q.E.D.The Supplementary Angle Congruence Theorem
Table 1: Proof of the Vertical Angle Congruence Theorem

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Vertical Angles. 2010-10-13. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/v/verticalangles.html.

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2010-10-13: Initial version (McAdams, David.)

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