Question

Triangle ABC with vertices at A(3, 2), B(2, −1), C(−2, 1) is dilated using a scale factor of 2.5 to create triangle A′B′C′. Determine the vertex of point B′.

B′(5, −1)
B′(2, −2.5)
B′(−5, −1)
B′(5, −2.5)

Answer 1

Step-by-step explanation: To dilate a triangle by a scale factor of 2.5, we multiply the coordinates of each vertex by 2.5.

The coordinates of point B are (2, -1). Multiplying by 2.5 gives:

(2, -1) x 2.5 = (5, -2.5)

So, the vertex of point B′ is (5, -2.5).

Therefore, the answer is B′(5, −2.5).