△ABC is reflected to form ​​ ​ △A'B'C' ​.




The coordinates of point A are (4, 1) , the coordinates of point B are (6, 3) , ​and the coordinates of point C are ​ (2, 4) .


Which reflection results in the transformation of ​ △ABC ​​ to ​ △A'B'C' ​​?


reflection across the x-axis.


reflection across the y-axis


reflection across y = x.


reflection across y=−x .

ABC is reflected to form A B C . The coordinates of point A are (4, 1) , the coordinates of point B are (6, 3) , and the coordinates of point C are (2, 4) . Whi class=

Verified Answer :

Answer:

Option B.

Step-by-step 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 preimage and image is defined by the rule

\((x,y)\rightarrow (-x,y)\)

Reflection across y-axis represented by the above rule.

It means the △ABC is reflected across the y-axis to form​​ △A'B'C' ​.

Therefore, the correct option is B.

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