Question

Identify the transformed coordinates when the line segment AB, where A(1, 3) and B(5, 3), is rotated 90 degrees clockwise.

A) A'(3, -1), B'(3, -5)
B) A'(-3, 1), B'(-3, 5)
C) A'(-1, -3), B'(-3, -3)
D) A'(1, 3), B'(5, 3)

Answer 1

After applying a 90-degree clockwise rotation transformation to points A(1, 3) and B(5, 3), the new coordinates become A'(3, -1) and B'(3, -5), corresponding to option A.

Step-by-step explanation:

To identify the transformed coordinates when the line segment AB is rotated 90 degrees clockwise, where A(1, 3) and B(5, 3), we apply a rotation transformation. For a clockwise rotation of 90 degrees about the origin, the transformation formulas are:

• x' = y
• y' = -x

Applying these to A(1, 3), we get:

• A'(3,-1) because A'x = A y and A'y = -A x

For B(5, 3), we get:

• B'(3,-5) because B'x = B y and B'y = -B x

Therefore, the correct answer is A'(3, -1), B'(3, -5), which corresponds to option A.