8.4k views
1 vote
Which quadrant would the point (6,7) end up in if it is rotated 90 degrees clockwise and then reflected over the x-axis?

A. Quadrant I
B. Quadrant II
C. Quadrant III
D. Quadrant IV

1 Answer

4 votes

Final answer:

The point (6,7) after a 90-degree clockwise rotation ends up in Quadrant IV, and remains in Quadrant IV after a reflection over the x-axis.

Step-by-step explanation:

The question involves performing two transformations on a point in the coordinate system. Initially, the point (6,7) is located in Quadrant I. If we rotate this point 90 degrees clockwise, it moves to Quadrant IV, since a clockwise rotation from Quadrant I would make a right turn to land in the quadrant where the x-values are positive, and y-values are negative. Next, reflecting this new point over the x-axis involves changing the sign of the y-coordinate, resulting in a point that is still in Quadrant IV, as it would then have both positive x and y coordinates.

User MrHunter
by
7.9k points