Question

Triangle ABC is dilated by a scale factor of 4 to form triangle ABC'.

A) (3, 12), (6, 24), (9, 36)
B) (3, 12), (6, 48), (9, 18)
C) (12, 3), (24, 6), (36, 9)
D) (12, 3), (48, 6), (18, 9)

Answer 1

Triangle ABC is dilated by a scale factor of 4 to form triangle ABC'. The correct coordinates of the vertices of ABC' are (12, 3), (48, 6), (18, 9).

Step-by-step explanation:

The answer is D) (12, 3), (48, 6), (18, 9). Dilation is a transformation that changes the size of an object without changing its shape. In this case, triangle ABC is dilated by a scale factor of 4 to form triangle ABC'. This means that the coordinates of the vertices of ABC' are obtained by multiplying the coordinates of the vertices of ABC by the scale factor.

Let's take the first vertex, A, which has coordinates (3, 12). When we multiply each coordinate by the scale factor of 4, we get (3*4, 12*4) = (12, 48). Similarly, for vertex B with coordinates (6, 24), we multiply each coordinate by 4 to get (6*4, 24*4) = (24, 96). Finally, for vertex C with coordinates (9, 36), we multiply each coordinate by 4 to get (9*4, 36*4) = (36, 144).

Therefore, the coordinates of the vertices of ABC' are (12, 3), (48, 6), and (18, 9), which matches option D.