Final answer:
The transformations that result in a congruent triangle are translation, reflection, and rotation. These preserve the size and shape of the triangle, so the correct answer is a. Translation, reflection, and rotation.
Step-by-step explanation:
The question asks which combination of transformations would result in a triangle that is congruent to triangle Lmn.
Congruent triangles are identical in shape and size, but they may be rotated, reflected, or translated (slid) with respect to each other. Therefore, the transformations that produce congruent triangles are translation, reflection, and rotation.
Translation involves moving the triangle along a straight path without changing its orientation or size. Reflection is flipping the triangle over a line where its size and shape remain unchanged.
Lastly, a rotation turns the triangle around a fixed point without altering the size or shape. These transformations change the position of the triangle without changing its size or shape, therefore maintaining congruency.
Answer to the student's question: The combination of transformations that would result in a triangle congruent to Lmn is a. Translation, reflection, and rotation, as all these preserve the size and shape of the triangle.