Question

triangle ABC has vertices at A ( 2,4). B (1,6). and C (5, 3). The image after a transformation has vertices at A' ( 6, 1 2). B' (3,18), and C' (15,9). Describe the transformation of Triangle ABC to Triangle A 'B' C using algebraic notation.

Answer 1

a dilatation centred at the origin with scale factor 3

Explanation:

under a dilation centred at the origin with scale factor k

a point (x, y ) → (kx, ky )

here

A (2, 4 ) → A' (3(2), 3(4) ) → A' (6, 12 )

B (1, 6 ) → B' (3(1), 3(6) ) → B' (3, 18 )

C (5, 3 ) → C' (3(5), 3(3) ) →C' (15, 9 )

thus the transformation for Δ ABC → Δ A'B'C'

is a dilatation centred at the origin with scale factor 3