Question

1 multiple answer 40 points which of the following transformations would produce an isometric figure? write all that apply! ¿cuál de las siguientes transformaciones produciría una figura isométrica? ¡escribe todo lo que aplique! translation (traslación) reflection (reflejo) dilation (dilatación) rotation (rotación)

Explanation:

Isometric transformations (isometries) are transformations that preserve the shape and size of a figure, meaning the image is congruent to the pre - image.

• Translation: When we translate a figure, we are just moving it from one place to another without changing its shape or size. So, translation is an isometry.
• Reflection: A reflection flips a figure over a line. The shape and size of the figure remain the same, only its orientation is changed. Thus, reflection is an isometry.
• Dilation: Dilation is a transformation that changes the size of a figure (it scales the figure by a scale factor). If the scale factor is not equal to 1, the image and the pre - image are not congruent. So, dilation is not an isometry.
• Rotation: Rotating a figure around a point changes its position but not its shape or size. So, rotation is an isometry.

Answer:

A. Translation (traslación)
B. Reflection (reflejo)
D. Rotation (rotación)