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

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What does an ordered pair consist of?

  1. Two angles formed by intersecting lines

  2. Two numbers where the order has significance

  3. Two lines that are parallel to each other

  4. Two sides of a right triangle

The correct answer is: Two numbers where the order has significance

An ordered pair consists of two numbers where the order has significance. This concept is foundational in mathematics, particularly in coordinate geometry, where an ordered pair is typically written as (x, y). The first number represents the position along the horizontal axis (x-axis), and the second number represents the position along the vertical axis (y-axis). The specific arrangement emphasizes that (3, 2) is not the same as (2, 3); each configuration provides different information about a point's location in a two-dimensional space. In contrast, the other choices do not accurately define an ordered pair. Two angles formed by intersecting lines do not express a relationship that emphasizes order; similarly, parallel lines and the sides of a right triangle pertain to geometric concepts that do not involve an order-sensitive pair of values. Therefore, understanding that an ordered pair is all about the arrangement and significance of each position is crucial for grasping its application in various mathematical contexts.