Question

What are the coordinates of the vertices of the image triangle after a 90 clockwise rotation about the origin? :

A'(1, 3) B'(-3, 4) C'(-2,-3)
A'(3, 1) B'(4,-3) C'(-3,-2)
A'(3,-1) B'(4, 3) C'(-3, 2)
A'(1,-3) B'(-3,-4) C'(-2, 3)
A'(-3, 1) B'(-4,-3) C'(3,-2)

Answer 1

The correct coordinates of the vertices of the image triangle after a 90-degree clockwise rotation around the origin are A'(3, -1), B'(4, 3), and C'(-3, 2).

Step-by-step explanation:

The student asked for the coordinates of the vertices of the image triangle after a 90-degree clockwise rotation about the origin. The rule for a 90-degree clockwise rotation of a point (x, y) around the origin is (y, -x). Using this rule:

• For A'(1, 3), after rotation becomes B'(3, -1).
• For B'(-3, 4), after rotation becomes C'(4, 3).
• For C'(-2,-3), after rotation becomes A'(-3, 2).

Therefore, the correct set of coordinates after the triangle has been rotated is:

• A'(3, -1)
• B'(4, 3)
• C'(-3, 2)