What is the distance between (-2,-5) and its reflection over the x-axis?
Right now, (-2,-5) is 5 units below the x-axis
so reflecting it over the x-axis would put it how many units above the x-axis ?
And the total distance would be ...... ?
To find the distance between a point and its reflection over the x-axis, you need to calculate the vertical distance between the two points.
Given that the original point is (-2, -5), its reflection over the x-axis will have the same x-coordinate but have the opposite y-coordinate.
The reflection over the x-axis is (-2, 5).
To calculate the distance between two points, you can use the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Using the distance formula, we can find the distance between (-2, -5) and (-2, 5):
d = sqrt((-2 - (-2))^2 + (5 - (-5))^2)
= sqrt(0^2 + 10^2)
= sqrt(0 + 100)
= sqrt(100)
= 10
Therefore, the distance between (-2, -5) and its reflection over the x-axis is 10 units.