Question

Triangle abc is reflected across the line y = x. what are the coordinates of the vertex b' of the resulting triangle a'b'c'?

Answer 1

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

The coordinates of point A are (−4, −3) , the coordinates of point B are ​ (−7, 1) ​, and the coordinates of point C are ​ (−1, −1) ​.

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 .

Explanation:

Answer 2

You have not provided the coordinates of the triangle, therefore, I cannot give you a precise answer.
However, I can help you with the concept.

Reflecting a point on the line y = x will lead to the following:
a point having coordinates (x,y) would become a point with coordinates (y,x) when reflected on this line

Examples:
point (2,1) when reflected on y=x would become (1,2)
point (3,7) when reflected on y=x would become (7,3)
point (22,9) when reflected on y = x would become (9,22)

Therefore, for the given point, all you have to is swap the values of the x and y to get the coordinates of the reflected point

Hope this helps :)