Keyword Analysis & Research: linear pair angles definition


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Which definition best describes a linear pair?

A linear pair is a geometric term for two intersecting lines with a 180-degree angle. It is also known as a conjecture, or hypothesis, of linear pairs. Linear pairs require unshared sides of the angles to create rays on opposite sides. The two angles from the intersecting lines add up to equal 180 degrees, creating a straight angle.

Is a linear pair is the same as vertical pair?

Vertical angles are angle opposite of eachother, while linear pairs are angles right next to each other and are supplementary. Vertical angles are angle opposite of eachother, while linear pairs are angles right next to each other and are supplementary.

What are adjacent angles and linear pairs?

The angles formed by the intersection of the two lines are said to be adjacent when they coincide. The sum of the linear pair of angles is always 180 degrees. The angles that share a vertex are the adjacent angles. Thus, the linear pair of angles always have a common vertex. Also, the linear pair has a common arm that represents both angles.

Do vertical angles have to be a linear pair?

Two angles are vertical angles, if their sides form two pairs of opposite rays. Two adjacent angles are a linear pair, if their non-common sides are opposite rays. ∠5 and ∠6 are a linear pair. Look at the picture shown below and answer the following questions. (i) Are ∠2 and ∠3 a linear pair ? (ii) Are ∠3 and ∠4 a linear pair ?


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