Questions: An angle in a rectangular coordinate system is in standard position if its vertex is at the origin and its initial side lies along the positive x-axis.

An angle in a rectangular coordinate system is in standard position if its vertex is at the origin and its initial side lies along the positive x-axis.

Transcript text: An angle in a rectangular coordinate system is in standard position if its vertex is at the $\square$ and its initial side lies along the positive $\square$

Solution

Solution Steps

Step 1: Identify the vertex of the angle in standard position

An angle in a rectangular coordinate system is in standard position if its vertex is at the origin, which is the point $ (0, 0) $.

Step 2: Determine the initial side of the angle in standard position

The initial side of the angle in standard position lies along the positive $ x $-axis.

Step 3: Fill in the blanks

Based on the above steps, the blanks should be filled as follows:

The vertex is at the origin.
The initial side lies along the positive $ x $-axis.

Final Answer

The vertex is at the origin and the initial side lies along the positive $ x $-axis.

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