lesson pretestMultiple Choice

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Question 4 • Math 3

Which angle is in standard position?

Answer

Image with description A four-quadrant coordinate plane with an angle. One ray starts at (0 comma 0) and passes through (2 comma 4). One ray starts at (0 comma 0) and passes through (negative 4 comma 4).

Image with description A Cartesian coordinate plane with a grid shows two rays starting at the origin (0 comma 0). One ray extends upward and to the left into the second quadrant, passing through (negative 4 comma 4). The other ray extends downward and to the right into the fourth quadrant, ending near (4 comma negative 1).

Image with description A four-quadrant coordinate plane with an angle. One ray starts at (0 comma 0) and passes through (4 comma 2). One ray starts at (0 comma 0) and passes through (negative 3 comma negative 3).

Image with description A coordinate grid with x- and y-axes shows two rays starting at the origin (0 comma 0). One ray extends horizontally to the right along the positive x-axis, and the other extends upward into the first quadrant, passing through (4 comma 3).

Explanation

An angle is in standard position when its vertex is at the origin and its initial side lies along the positive x-axis. In choice A, one ray starts at the origin and extends right along the positive x-axis, while the other ray starts there as well. The other choices do not show a ray on the positive x-axis.

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