Question

△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 .

Answer 1

Answer:B

Step-by-step explanation: took the test

Answer 2

Option B.

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.