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qwelly [4]
3 years ago
5

∆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 .

Mathematics
1 answer:
torisob [31]3 years ago
6 0

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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