The two figures congruent C. Yes; reflections and translations preserve lengths and angle measures, so the figures are congruent. Therefore ,C. Yes; reflections and translations preserve lengths and angle measures, so the figures are congruent is correct .
Yes, the two triangles are congruent.
A reflection across the x-axis flips a figure over the x-axis, but it does not change the size or shape of the figure.
A translation moves a figure a certain distance without changing its size or shape.
Therefore, since the reflection and translation do not change the size or shape of the triangle, the two triangles must be congruent.
Another way to think about it is that a congruence transformation is a transformation that takes a figure and produces a congruent copy of it.
A reflection across the x-axis and a translation are both congruence transformations.
Therefore, the two triangles must be congruent.
So the answer is C. Yes; reflections and translations preserve lengths and angle measures, so the figures are congruent.