∆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 .
1 answer:
Answer:
<h2>A'(1,1), B'(2,3) and C'(2,1)</h2>Step-by-step 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).
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