Question

state whether the following is true or false. a triangle in the cartesian plan is rotated 180° about the origin. after it has been rotated, the angle measures of the triangle will decrease by a factor of 2.

Explanation:

Step1: Recall the property of rotation

Rotation is a rigid transformation. Rigid transformations (such as rotation, translation, reflection) preserve the shape and size of a figure.

Step2: Analyze the effect on angle measures

Since rotation is a rigid transformation, the angle measures of a triangle do not change when the triangle is rotated. The statement claims that the angle measures decrease by a factor of 2, which is incorrect.

Answer:

False