Answer:
Option A is correct
reflection across the x-axis
Step-by-step explanation:
The rule for reflection across x-axis is given by:
\((x, y) \rightarrow (x, -y)\)
As per the statement:
The coordinate of triangle ABC are:
A(−4,−3) , B(−7,1) and C(−1,−1).
The coordinate of triangle A'B'C' are:
From the given diagram we have;
A'(-4, 3), B'(-7, -1) and C'(-1, 1)
Apply the rule of reflection across x-axis on ABC we have;
\(A(-4, -3) \rightarrow (-4, -(-3))=(-4, 3)=A'\)
\(B(-7,1) \rightarrow (-7, -1)=B'\)
\(C(-1,-1) \rightarrow (-1, -(-1))=(-1, 1)=C'\)
Therefore, the reflection results in the transformation of △ABC to △A'B'C' is, reflection across the x-axis
