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Triangle ABC is rotated about the origin in clockwise direction through 90°, and thenreflected across y-axis. Identify the coordinates of the vertices of the transformed triangle.2B0

Triangle ABC is rotated about the origin in clockwise direction through 90 and thenreflected across yaxis Identify the coordinates of the vertices of the transf class=


Answer :

Answer:

A'(-4, 5), B'(-2, 2) and C'(-2, 5)

Explanation:

First, we need to identify the initial coordinates of the vertices of the triangle, so

A(-5, 4)

B(-2, 2)

C(-5, 2)

When we rotate the figure 90 degrees clockwise, the coordinates will change according to the following rule

(x, y) ----> (y, -x)

Then, the new coordinates of the vertices will be

A(-5, 4) ----> (4, -(-5)) = (4, 5)

B(-2, 2) ----> (2, -(-2)) = (2, 2)

C(-5, 2) ----> (2, -(-5)) = (2, 5)

Now, we need to reflect the triangle across the y-axis, so the coordinates will follow

(x, y) ----> (-x, y)

So, the vertices of the transformed triangle will be

(4, 5) ----> A'(-4, 5)

(2, 2) ----> B'(-2, 2)

(2, 5) ----> C'(-2, 5)

Therefore, the answer is:

A'(-4, 5), B'(-2, 2) and C'(-2, 5)

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