Cartesian Grid - Distance as Radical Between Coordinates (Angle) (Level 1)

This math topic focuses on calculating the distance between pairs of points on a Cartesian grid. Throughout the problems, students are presented with coordinates for two points and must find the Euclidean distance between them, typically displayed as a radical (square root). The problems test the student's ability to accurately apply the distance formula, which involves the use of square roots and differences between corresponding coordinates. This is a foundational skill in geometry, particularly in understanding spatial relationships and vector distances.

Distance as Radical Between Coordinates (Angle)

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Find the distance between the given (x,y) points

Point A:(1,3)Point B:(4,5)\text{Point A:} (1,3) \\ \text{Point B:} (4,5)