Final answer:
It is evident that the corresponding vertices of triangles ABC and MNP undergo a change in orientation without any change in size. This rotational transformation is indicated by the distinct angles formed by the corresponding sides of the triangles. Therefore,the correct Option is Option b) Rotation.
Step-by-step explanation:
In the given graphs, observe the corresponding vertices of triangles ABC and MNP. The change in orientation from one set of vertices to the other indicates a rotational transformation. To determine the angle and direction of rotation, compare the positions of specific points, such as vertices or midpoints of sides, in both triangles. Calculate the angle of rotation by measuring the difference in positions and direction between the corresponding points. Ensure that the rotational direction aligns with the given options.
Understanding the nature of rotation is crucial. Clockwise and counterclockwise rotations can result in different final positions, so it's important to identify the correct direction. Additionally, note the center of rotation, which remains fixed during the transformation.
To provide a comprehensive explanation, consider detailing the coordinates of specific points and the calculation of rotational angles using trigonometric functions if applicable. Ensure that your analysis covers all aspects of the rotation, leaving no room for ambiguity.
Therefore,the correct Option is Option b) Rotation.