△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 .

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

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.

examine the two-step equation.

−  

7

4

+  

x

4

= 2

which property of operations allows you to add the same constant term to both sides?

multiplication property of equality

division property of equality

addition property of equality

subtraction property of equality

step-by-step explanation: