Question

Consider the effect of the transformation (x, y) → (x, 2y) on the triangle ABC with vertices A(2, 1).

B(3,-2), C(4,0). Identify the correct transformation.
A. The transformation preserves shape.
B. The transformation preserves size.
C. The transformation preserves angle orientation.
D. Both A & C

Answer 1

The given transformation (x, y) → (x, 2y) doubles the y-coordinate of each point, while leaving the x-coordinate unchanged. Therefore, the correct transformation is option D - both A and C. It preserves both the shape and the angle orientation of the triangle.

Step-by-step explanation:

The given transformation (x, y) → (x, 2y) doubles the y-coordinate of each point, while leaving the x-coordinate unchanged. To understand the effect of this transformation on the triangle ABC with vertices A(2, 1), B(3,-2), C(4,0), we apply the transformation to each vertex:

A(2, 1) → A(2, 2), B(3,-2) → B(3, -4), C(4,0) → C(4, 0).

As we can see, the y-coordinate of each vertex of the triangle is doubled, while the x-coordinate remains the same. Therefore, the correct transformation is option D - both A and C. It preserves both the shape and the angle orientation of the triangle.