Answer:
The answer to your problem is, B. reflection across the y-axis
Explanation:
- It is given that △ABC is reflected to form △A'B'C' .
- It is given that the vertices of triangle ABC are A(4,1), B(6,3) and C(2,4).
- From the given figure it is clear that vertices of triangle A'B'C' are A'(-4,1), B'(-6,3) and C(-2,4).
- The relation between pre-image and image is defined by the rule
The relation between preimage and image is defined by the rule
( x,y ) —> ( -x,y )
Reflection across y-axis represented by the above rule.
It means the △ABC is reflected across the y-axis to form △A'B'C' .
Thus the answer to your problem is, B. reflection across the y-axis