California Assessment of Student Performance and Progress (CAASPP) Math Practice Exam

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Which of the following describes adjacent angles?

  1. Two angles that are congruent

  2. Two angles that share a vertex and a side, but do not overlap

  3. Two angles that are opposite of each other

  4. Two angles that form a straight line

The correct answer is: Two angles that share a vertex and a side, but do not overlap

Adjacent angles are defined as two angles that share a common vertex and a common side, while remaining non-overlapping. This description captures the essential characteristics of adjacent angles, emphasizing that they are next to each other in position without any part of one angle intruding into the space of the other. The significance of sharing a side highlights that adjacent angles must be physically positioned in relation to each other, while sharing a vertex indicates they originate from the same point, enhancing their closeness. This definition is fundamental in geometry, as it lays the groundwork for understanding various angle relationships and properties in more complex figures. The other options do not align with the definition of adjacent angles. For instance, the choice stating that they are congruent refers to angles that are equal in measure, which is a different property. The notion of angles being opposite of each other pertains to vertical angles, and two angles forming a straight line describes a linear pair, which also does not require non-overlapping conditions. Understanding these distinctions is important in mastering geometric concepts.