Question

Triangle ABC with vertices A(4, −6), B(2, −8), and C(−10, 4) is dilated by a scale factor of 2 to obtain triangle A′B′C′. Which statement best describes triangle A′B′C′? It is similar to triangle ABC and has coordinates A′(2, −3), B′(1, −4), and C′(−5, 2). It is similar to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8). It is congruent to triangle ABC and has coordinates A′(2, −3), B′(1, −4), and C′(−5, 2). It is congruent to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8).

Answer 1

Answer: Similar with coordinates A’ (8, -12), B’ (4, -16) and C’ (-20, 8)

Explanation:

Since the size of the triangle changes they cannot be congruent.

Assuming the centre of dilation (enlargement) is (0, 0) then just double the coordinates of each point