Question

The composition rxo T-3,4 is performed on BC. What are the coordinates of B'' and C''?

A. B''(–1, –9), C''(3, –6)
B. B''(–1, –1), C''(3, 2)
C. B''(1, 9), C''(–3, 6)
D. B''(9, –3), C''(5, –1)

Answer 1

The coordinates of B'' are (-2.39, -6.58) and the coordinates of C'' are (6.93, 4.00).

Step-by-step explanation:

The components of B are given by Bx = 7.0 cm * cos(-110°) = -2.39 cm and By = 7.0 cm * sin(-110°) = -6.58 cm. The components of C are Cx = 8.0 cm * cos(30°) = 6.93 cm and Cy = 8.0 cm * sin(30°) = 4.00 cm. Therefore, the coordinates of B'' are (-2.39, -6.58) and the coordinates of C'' are (6.93, 4.00).