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What is the sequence of transformations that maps ABC to A'B'C'?

Select from the drop-down menus to correctly identify each step

Step 1: Choose
A. Reflect across the y-axis.
B.Reflect across the line y=x C.Rotate 90 degrees clockwise about the origin
D.Rotate 100 degrees about the origin

Step 2 Choose
A. Reflect across the x-axis. B.Translate 1 unit right. C.Translate 2 units right. D.Translate 4 units down.

What is the sequence of transformations that maps ABC to A'B'C'? Select from the drop-example-1
User Kghastie
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1 Answer

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The only sequence of transformations that maps ABC to A'B'C' is reflecting across the line y = x, followed by translating 4 units down.

The correct sequence of transformations that maps ABC to A'B'C' is:

Step 1: Reflect across the line y = x.

This transformation flips the triangle across the diagonal line, resulting in triangle A'B'C'.

Step 2: Translate 4 units down.

This transformation moves the triangle 4 units вниз without changing its orientation.

Here's why the other options are incorrect:

Rotate 90 degrees clockwise about the origin: This would rotate the triangle clockwise, not diagonally as needed.

Reflect across the y-axis: This would flip the triangle across the vertical axis, resulting in a triangle that is not congruent to A'B'C'.

Reflect across the x-axis: This would flip the triangle across the horizontal axis, resulting in a triangle that is not congruent to A'B'C'.

Translate 1 unit right or 2 units right: These translations would move the triangle to the right, but not downwards as needed.

Translate 3 units up: This translation would move the triangle up, but not downwards as needed.

Therefore, the only sequence of transformations that maps ABC to A'B'C' is reflecting across the line y = x, followed by translating 4 units down.

User Ian Roke
by
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