Point B is at (-1.5, 6.3). Point B is reflected across the x-axis to become point C.
The coordinates of point C are _______.
Point C is located in quadrant _______.
The coordinates of point C are (-1.5, -6.3).
Point C is located in quadrant IV.
Point C was located in Quadrant |||
If point C is located in Quadrant |||, then it must have positive x, y, and z coordinates. However, we can only determine the x and y coordinates based on the given information.
Since point B is reflected across the x-axis, its y-coordinate changes sign and becomes negative. Therefore, if point C is in Quadrant |||, then it must have a positive x-coordinate and a negative y-coordinate.
However, we cannot determine the z-coordinate of point C based on the given information.
Drag each number to the correct location in the ordered pairs. Each number can be used more than once, but not all numbers will be used.
Point A is located at (7, 4).
Point A is reflected across the x-axis to give point B.
Point B is reflected across the y-axis to give point C.
Drag numbers to show the correct coordinate pairs for point B and point C.
3
7
-3
-7
4
0
-4
POINT B: ( , )
POINT C: ( , )
POINT B: (7, -4)
POINT C: (-7, -4)
To reflect a point across the x-axis, you just need to change the sign of its y-coordinate while keeping the x-coordinate the same.
Given that point B has coordinates (-1.5, 6.3), we need to change the sign of the y-coordinate to find the coordinates of point C.
To reflect the y-coordinate across the x-axis, we simply multiply it by -1.
So, the y-coordinate of point C becomes -6.3 (the negative of 6.3), while the x-coordinate remains the same (-1.5).
Therefore, the coordinates of point C are (-1.5, -6.3).
To determine the quadrant in which point C is located, consider the signs of its coordinates:
- The x-coordinate is negative (-1.5), which means it lies to the left of the y-axis.
- The y-coordinate is negative (-6.3), which means it lies below the x-axis.
Based on these signs, point C is located in the third quadrant.