Question

A point has the coordinates (m, 0) and m ≠ 0.

Which reflection of the point will produce an image located at (0, –m)?

a reflection of the point across the x-axis
a reflection of the point across the y-axis
a reflection of the point across the line y = x
a reflection of the point across the line y = –x

Answer 1

Answer:

a reflection of the point across the line y=-x

Answer 2

A  reflection of point acrosss the line y=(-x)

Step-by-step explanation:

• The given points are (m,0),m≠0.
• Here,x=m and y=0.
• The coordinates of the reflection point(0,-m).
• So, in this x=0 and y=(-m).
• Hence, this is only possible when y=(-x)

Given point        : x=m  ; y=0

Reflection point:x=0 (as y=-x,so x=-y)   ;y=(-m)

• Therefore the reflection of the point (m,0)and m≠0 will produce an image located at (0,-m) when reflection occurs across the line y=(-x).