Which statement explains why triangle ABC…

The correct choice is: You can map triangle ABC to triangle A’B’C’ by translating it 6 units to the left and reflecting it over the x-axis, which consists of a sequence of rigid motions. Explanation: The coordinates for triangle ABC are A(1, -3), B(5, 3), and C(4, -1). For triangle A’B’C’, the coordinates are A'(-5, 3), B'(-1, -3), and C'(-2, 1). Each point from triangle ABC corresponds to a point in triangle A’B’C’: A(1, -3) maps to A'(-5, 3), B(5, 3) maps to B'(-1, -3), and C(4, -1) maps to C'(-2, 1). When we compare the x-coordinates, we see the image’s x-coordinates are exactly 6 less than those of the pre-image: 1 – 6 = -5, 5 – 6 = -1, 4 – 6 = -2. This indicates that the figure has been translated 6 units to the left. When we look at the y-coordinates, we see that the values are negated: -(-3) = 3, -(3) = -3, -(-1) = 1. This shows that the pre-image was reflected over the x-axis, which flips the y-coordinates while retaining the x-coordinates. These transformations are classified as rigid motions since they preserve the shape and size of the triangle while changing its position and orientation.