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'? (5 points)
A. It is similar to triangle ABC and has coordinates A (2, -3), B'1, -4), and C'(-5, 2).
B. It is similar to triangle ABC and has coordinates A'(8, -12), B'(4, -16), and C'(-20, 8).
C. It is congruent to triangle ABC and has coordinates A'(2, -3), B'(1, -4), and C'(-5, 2).
D. It is congruent to triangle ABC and has coordinates A'(8, -12), B'(4, -16), and C'(-20, 8).
To dilate a triangle by a scale factor of 2, we multiply the coordinates of each vertex by 2.
The coordinates of triangle ABC are:
A(4, -6)
B(2, -8)
C(-10, 4)
Multiplying these coordinates by 2, we find:
A'(8, -12)
B'(4, -16)
C'(-20, 8)
Based on these coordinates, the correct answer is:
D. It is congruent to triangle ABC and has coordinates A'(8, -12), B'(4, -16), and C'(-20, 8).