Question

State the segment or triangle that represents the image. 13. 90° counterclockwise rotation of MG about J 14. 90° clockwise rotation of AHGC about J 15. 180° clockwise rotation of HI about J 16. 180° counterclockwise rotation of ABFL about J 17. Verify that AMNL is a congruence transformation of AJKL. Explain your reasoning.​

Answer 1

The questions involve the concept of geometric rotation, where figures are rotated around a point to a new position without altering their shape or size. The focus is on understanding how rotations, specifically 90 degrees and 180 degrees, affect the orientation of segments and polygons while preserving congruency.

Step-by-step explanation:

This question deals with the concept of geometric rotation, a topic in mathematics that involves rotating figures around a point. Geometric rotation is a transformation that turns a figure about a fixed point, known as the center of rotation.

Examples:

• For question 13, a segment MG will be rotated 90 degrees counterclockwise about point J, resulting in a new segment at a different position but still of the same length.
• In question 14, a polygon AHGC will be rotated 90 degrees clockwise about point J, changing its orientation while preserving the shape and size.
• Question 17 requires the verification that AMNL is a congruence transformation of AJKL, meaning that one can be obtained from the other through rotations, reflections, and translations without altering size and shape.

In each case, the result of the transformation will be a figure congruent to the original.