Question

Which image is the translation of △ ABC given by the translation rule (x, y) → (x - 2, y - 2):

A. Apply the translation rule to find the new coordinates.
B. Determine the transformation matrix for the translation.
C. Analyze the effects of the translation on triangle ABC.
D. Discuss the concept of image under translation.

Answer 1

Apply the translation rule (x, y) → (x - 2, y - 2) to find the new coordinates of triangle ABC.

Step-by-step explanation:

To find the translation of triangle ABC under the given translation rule (x, y) → (x - 2, y - 2), we need to apply the translation rule to each coordinate of the triangle. Let's say the coordinates of triangle ABC are A(x1, y1), B(x2, y2), and C(x3, y3). The new coordinates of the translated triangle would be A'(x1 - 2, y1 - 2), B'(x2 - 2, y2 - 2), and C'(x3 - 2, y3 - 2).