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GEOMETRY HELP !!!!!!!!!What is the sequence of transformations that

maps A ABC to A A'B'C' ?

Select from the drop-down menus to correctly

identify each step.


Step 1: Choose ...

Reflect across the y-axis


Reflect across the line y = x.


Rotate 180 degrees about to origin.


Rotate 90 degrees clockwise about the origin.


Step 2: Choose...

Translate 1 units right.


Translate 2 units right.


Translate 4 units down.


Reflect across the x-axis.

Respuesta :

micahdavid126

Answer:

(1) (B) y = x and

(2) (D)  10 units to the right and 4 units up.

Step-by-step explanation:

Since we are given that ΔA'B'C' is formed after a sequence of transformations applied to ΔABC.

The first is a reflection across a line and second is a translation.

The co-ordinates of point C are (-4, -2). After reflection from the line y = x, the co-ordinates becomes  (2, -4).

Also, the coordinates of point C' are (12, 0).

So, to reach point C' from point C, we should add 10 units to the x-coordinate and 4 units to the y-coordinate.

That is, the translation of 10 units right and 4 units up.

Thus, the complete transformation is

The sequence of transformations that maps ∆ABC to ∆A′B′C′ is a reflection across the line y = x followed by a translation 10 units right and 4 units up.

Thus, the correct answer is (1) y = x and (2) 10 units to the right and 4 units up.

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