One vertex of triangle PQR is located at Q(-2,4). The triangle is translated along a vector. Which vector places the image of vertex Q in Quadrant IV?
Question
One vertex of triangle PQR is located at Q(-2,4). The triangle is translated along a vector. Which vector places the image of vertex Q in Quadrant IV?
Solution
To move the point Q(-2,4) to the 4th quadrant, we need to translate it down below the x-axis. This means we need a vector that changes the y-coordinate from positive to negative.
The y-coordinate of the point in the 4th quadrant must be negative. Since the original y-coordinate of Q is 4 (a positive number), we need to subtract enough to make it negative.
A safe bet would be to subtract more than 4 from the y-coordinate. So, a possible vector could be (0, -5). This vector would move point Q to (-2, -1), which is in the 4th quadrant.
So, the vector that places the image of vertex Q in Quadrant IV is (0, -5).
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