The correct answer is: Rotate triangle JKL 180° clockwise about the origin; triangle JKL and triangle MNO are congruent.
To determine which transformation maps triangle JKL to triangle MNO and identify the relationship between the triangles, let's analyze each option:
Reflect triangle JKL over the x-axis: If triangle JKL is reflected over the x-axis, the resulting image will have the same shape and size as the original triangle but with a flipped orientation. This transformation does not map triangle JKL to triangle MNO.
Rotate triangle JKL 180° clockwise about the origin: Rotating triangle JKL 180° clockwise about the origin will make it coincide with triangle MNO. This transformation preserves the shape and size of the triangle, making triangle JKL congruent to triangle MNO.
Dilate triangle JKL by a scale factor of 2 from point K: Dilating triangle JKL by a scale factor of 2 from point K will enlarge the triangle, making it twice the size of the original triangle. This transformation does not map triangle JKL to triangle MNO.
Rotate triangle JKL 90° clockwise about the origin: Rotating triangle JKL 90° clockwise about the origin will change the orientation of the triangle but not its shape or size. This transformation does not map triangle JKL to triangle MNO.
Therefore, the correct answer is: Rotate triangle JKL 180° clockwise about the origin; triangle JKL and triangle MNO are congruent.