Question

Triangle ABC is rotated 90° counterclockwise about the origin to produce triangle A'B'C'. Then, triangle A'B'C' is dilated by a scale factor of 1/2 with respect to the origin to produce A''B''C''.

Write coordinates of each vertex in the final image.
A"
B"
C"

Answer 1

Explanation:

Answer 2

The coordinates of each vertex in the final image are A''(-2, 1) B''(-5, 4) C''(-1, 4)

Writing the coordinates of each vertex in the final image.

From the question, we have the following parameters that can be used in our computation:

The graph

Where, we have

A = (2, 4)

B = (8, 10)

C = (8, 2)

The rule of rotating a point by 90 degrees counterclockwise is

(x, y) = (-y, x)

So, we have

A' = (-4, 2)

B' = (-10, 8)

C' = (-2, 8)

When dilated by a scale factor of 2, the rule is

(x, y) = (x, y)/2

So, we have

A'' = (-2, 1)

B'' = (-5, 4)

C'' = (-1, 4)

Hence, the final image is A''(-2, 1) B''(-5, 4) C''(-1, 4)