Recall that if a point (a,b) is reflected in the line y=x, then its image is (b, a).
Practice makes perfect
To graph the polygon, notice that the vertices are A(6,-3), B(1,-2), and C(4,1). Let's also add the line of reflection y=x.
To reflect the triangle in the given line, we will reflect its vertices. Recall that if a point (a,b) is reflected in the line y=x, then its image is (b, a). With this, let's reflect each vertex of the triangle.
&â–³ ABC && â–³ A'B'C'
& A(6,-3) && A'(-3,6)
& B(1,-2) && B'(-2,1)
& C(4,1) && C'(1,4)
Now that we know the reflected vertices, we can plot them and graph the image.
