Identifying Triangle Rotation Around Point K

Answered using GPT-4o mini by AI Answer Generator

Question:

Look at this diagram: Q R S K Which diagram shows △QRS rotated 30° clockwise about K?

Answer:

To determine which diagram shows triangle ( \triangle QRS ) rotated 30° clockwise about point ( K ), you would need to visualize or sketch the triangle and the point of rotation.

  1. Identify the Position of Points: First, locate points ( Q ), ( R ), and ( S ) in relation to point ( K ).

  2. Rotation: When rotating a point clockwise around another point, you can think of it as moving each point in a circular arc around the center point ( K ). A 30° rotation means each point will move along the circumference of a circle with center ( K ) and radius equal to the distance from ( K ) to the point being rotated.

  3. Apply the Rotation:

    • For point ( Q ), find its new position after rotating 30° clockwise around ( K ).
    • Repeat this for points ( R ) and ( S ).
  4. Check the Diagrams: Compare the new positions of ( Q ), ( R ), and ( S ) after the rotation with the options provided in the diagrams.

Without the actual diagrams to reference, I can't specify which one is correct, but following these steps will help you identify the correct diagram that represents ( \triangle QRS ) rotated 30° clockwise about point ( K ). If you have specific diagrams to analyze, please describe them, and I can assist further!