Question

Classify each pair of numbered angles.

Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used more than once.

Adjacent

Linear Pair

Vertical

None

Answer 1

Adjacent angles are angles with a common side and vertex, linear pairs are adjacent angles that are supplementary, and vertical angles are angles made by the same two lines but on opposite sides.

For the first one, 5 and 6 clearly do not share a side but they are made up by the same 2 lines and are opposite of each other, making them vertical.

For the next one, since the angles only share 1 line (and not a side) they can't be any of the above. 

Answer 2

The paired numbered angles can be classified as follows:

<5 and <6 are vertical angles

<1 and <2 are none (not vertical, not adjacent, not a linear pair)

Recall the following:

• Adjacent angles share a corner and a common side, but do not overlap.
• Linear pairs are two angles that are adjacent to each other along a straight line.
• Vertical angles share a common vertex but are not adjacent to each other.

Therefore, from the above stated facts, we can conclude that:

<5 and <6 are vertical angles

<1 and <2 are none (not vertical, not adjacent, not a linear pair)

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