Is it...
A. A reflection over the y-axis, then a reflection over the x-axis

B. A reflection over the x-axis, then a translation across the y-axis

C. A translation over the y-axis, then a reflection over the x-axis

D. A translation over the x-axis, then a translation across the y-axis

The transformations done are option A. A reflection over the y-axis, then a reflection over the x-axis

Step-by-step explanation:

Step 1:

First, we plot the points of triangle ABC and A''B''C''.

The points of triangle ABC are A (-8, -5), B(-4, -3), and C(-4,-7).

The points of triangle A''B''C'' are A'' (8, 5), B'' (4, 3), and C'' (4,7).

The points of both triangles ABC and A''B''C'' are the same values but different symbols for x and y values.

Step 2:

If a shape is reflected across an axis, the values remain the same but the symbols vary according to the quadrant.

If a shape is translated, all coordinates of all the points vary accordingly.

As triangles ABC and A''B''C'' have exactly the same coordinates it means that two reflections have occurred but no translations have occurred.

So the answer is the option with two reflections. So option A. A reflection over the y-axis, then a reflection over the x-axis is the answer.

take it another

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.