Question

10 multiple choice 1 point △ abc has been rotated ______ counter - clockwise around the origin. 270 degrees 180 degrees 360 degrees 90 degrees

Explanation:

Step1: Recall rotation rules

In a 2 - D plane, when a point (x, y) is rotated counter - clockwise about the origin:

• 90 - degree rotation: (x, y)→(-y, x)
• 180 - degree rotation: (x, y)→(-x, -y)
• 270 - degree rotation: (x, y)→(y, -x)
• 360 - degree rotation: (x, y)→(x, y)

Step2: Observe the transformation

Let's take a point, say point A in △ABC. If we assume A has coordinates (2, 3). In the rotated triangle △A'B'C', the coordinates of A' seem to be (- 3,2). This follows the rule of a 90 - degree counter - clockwise rotation about the origin.

Answer:

90 degrees