Describe the sequence of steps used to move the triangle in Quadrant IV to the triangle in Quadrant II to show that the triangles are congruent.
rotation, then translation
translation, then transformation
translation, then reflection
reflection, then translation
The correct sequence of steps to move the triangle in Quadrant IV to the triangle in Quadrant II to show that the triangles are congruent would be:
1. Reflection: Reflect the triangle across the x-axis to move it from Quadrant IV to Quadrant II while maintaining its shape.
2. Translation: Translate the reflected triangle horizontally to align it with the original triangle in Quadrant II. This will show that the triangles are congruent as they will have the same size and shape.