Question

∆ABC is reflected across the x-axis, then rotated 90° clockwise about the origin, and finally reflected across the line y = x to form ∆A′B′C′. The coordinates of vertex A′ are . The coordinates of vertex B′ are . The coordinates of vertex C′ are .

Answer 1

The coordinates of vertex A′ are (1, 1).
The coordinates of vertex B′ are (2, 3).
The coordinates of vertex C′ are (2, 1).

Explanation:

Plato

Answer 2

A'(1,1), B'(2,3) and C'(2,1)

Explanation:

Notice that the vertices are A(1,1), B(2,3) and C(2,1).

A reflection across the x-axis give the coordinates A'(1,-1), B'(2,-3) and C'(2,-1). Then, we apply the rotation 90° clockwise about the origin A'(1,1), B'(3, 2) and C'(1, 2).

Finally, a reflection across the line y = x, gives A'(1,1), B'(2,3) and C'(2,1)

Therefore, the coordinates of the image are A'(1,1), B'(2,3) and C'(2,1).