The coordinates of point P are (-3, 5). Point R is a reflection of point P across the x-axis. Point S is a reflection of point P across the y-axis.
Point R is located in quadrant . Point S is located in quadrant .
reflection of P(-3,5) in the x-axis ----> R(-3,-5)
which is in quadrant III
P(-3,5) reflected in the y-axis---> S(3,5) , which is in quad I
Point R is located in quadrant III. Point S is located in quadrant I.
my pito
To determine the quadrants that point R and point S are located in, we need to understand the concept of quadrants in the Cartesian coordinate system.
In the Cartesian coordinate system, the x-axis and the y-axis intersect at the origin, which is assigned the coordinates (0, 0). The x-axis divides the coordinate plane into two halves, the left and right sides, referred to as the negative x-axis and the positive x-axis, respectively. Similarly, the y-axis divides the coordinate plane into two halves, the lower and upper sides, known as the negative y-axis and the positive y-axis, respectively.
Let's analyze the coordinates of point R, which is a reflection of point P across the x-axis. When reflecting a point across the x-axis, the x-coordinate remains the same, while the sign of the y-coordinate changes.
Given that the coordinates of point P are (-3, 5), the y-coordinate of point R will be -5 because it is the reflection of the original y-coordinate across the x-axis.
Therefore, the coordinates of point R are (-3, -5).
Determining the quadrant for point R:
Since the x-coordinate (-3) is negative, and the y-coordinate (-5) is also negative, point R is located in the third quadrant of the Cartesian coordinate system.
Now, let's analyze the coordinates of point S, which is a reflection of point P across the y-axis. When reflecting a point across the y-axis, the y-coordinate remains the same, while the sign of the x-coordinate changes.
Given that the coordinates of point P are (-3, 5), the x-coordinate of point S will be 3 because it is the reflection of the original x-coordinate across the y-axis.
Therefore, the coordinates of point S are (3, 5).
Determining the quadrant for point S:
Since the x-coordinate (3) is positive, and the y-coordinate (5) is also positive, point S is located in the first quadrant of the Cartesian coordinate system.