Figure abcd was reflected across the x-axis to create figure a'b'c'd'. what are the coordinates of the pre-image of b'?

the pre-image of is .

we can find the coordinates of pre-image of b' in two ways.

method 1: using mapping

we can use the mapping for the reflection in the - axis to calculate the coordinates of .

the mapping is given by the rule,

from the graph, the coordinates of b' are . this implies that,

hence the coordinates of the pre-image of b' is

method 2: distance from mirror line

the pre-image of b' and b' are all the same distance from the mirror line.

tracing from the graph (see attachment) gives the coordinate of the pre-image of b' to be

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