Question

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

Answer 1

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

Step-by-step 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)