Question

The vertices of a triangle are A(1,1), B(3,1), and C(3,4). Rotate the triangle 90 degrees clockwise about the origin. What are the new coordinates of the triangle's vertices?

A) A(1,1), B(4,-3), C(1,-3)
B) A(1,1), B(-1,3), C(-4,3)
C) A(1,1), B(3,-1), C(3,-4)
D) A(1,1), B(3,3), C(4,1)

Answer 1

To rotate a triangle 90 degrees clockwise about the origin, we can use the formulas (x', y') = (y, -x) for each vertex. The new coordinates of the triangle's vertices after the rotation are A'(-1, 1), B'(-1, 3), and C'(-4, 3).

Step-by-step explanation:

To rotate a point 90 degrees clockwise about the origin, we can use the formulas for clockwise rotation: (x', y') = (y, -x).

Using these formulas, we can find the new coordinates of the triangle's vertices:

A'(1, 1) --> (-1, 1)

B'(3, 1) --> (-1, 3)

C'(3, 4) --> (-4, 3)

Therefore, the correct answer is B) A(1,1), B(-1,3), C(-4,3).