write a sequence of the transformation that maps quadrilateral ABCD onto quadrilateral A"B"C"D" in picture below.

No picture. Cannot copy and paste here.

I'm sorry, but I cannot see the picture you are referring to. However, I can help you understand the general process of transforming a quadrilateral. Please describe the specific transformations you would like to apply (such as translations, rotations, reflections, or dilations) and their corresponding points, lines, or centers of rotation.

I'm sorry, but I can't see the picture you're referring to. However, I can explain the process of mapping one quadrilateral onto another.

To map quadrilateral ABCD onto quadrilateral A"B"C"D", we can use a combination of transformations such as translations, rotations, reflections, and dilations. Here is a general sequence of these transformations:

1. Translation: Move quadrilateral ABCD so that one of its vertices coincides with the corresponding vertex of A"B"C"D". This translation will determine the position of the entire quadrilateral.

2. Rotation: Rotate the translated quadrilateral ABCD around the shared vertex, aligning it with the corresponding vertices of A"B"C"D". This rotation will ensure the correct orientation of the quadrilateral.

3. Reflection: If necessary, reflect the rotated quadrilateral ABCD across a line that preserves the orientation of the quadrilateral. This reflection will match the remaining vertices of ABCD to those of A"B"C"D".

4. Dilation: Adjust the size of the quadrilateral ABCD by either enlarging or shrinking it uniformly until it matches the size of A"B"C"D". This dilation will determine the scale of the quadrilateral.

Please note that the specific sequence of transformations may vary depending on the given problem and the properties of the quadrilaterals. It is also essential to keep track of the order and direction of the transformations to achieve the desired mapping accurately.