Question

How is the point (3,-5) related to its reflection across the line y = 2?

a) The point and its image are the same distance from the line y = 2
b) The line of reflection is perpendicular to the line y = 2
c) The point (3,-5) and its image are 2 units apart.
d) The point (3,-5) is on the line of reflection

Answer 1

When a point is reflected across a line, its image is located on the opposite side of the line, at the same distance from the line. The line of reflection is perpendicular to the line y = 2.

Step-by-step explanation:

To understand how the point (3,-5) is related to its reflection across the line y = 2, we need to apply the concept of reflection across a line. When a point is reflected across a line, its image is located on the opposite side of the line, at the same distance from the line. If we draw a line parallel to the line of reflection through the given point (3,-5), it will intersect with the line of reflection y = 2 at a point (3, 9). The distance between the point (3,-5) and its reflection (3,9) is 14 units, which is not equal to 2 units. Therefore, the correct answer is:

b) The line of reflection is perpendicular to the line y = 2