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.
1.translation, then transformation
2.reflection, then translation
3.translation, then reflection
4.rotation, 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 is:
3. translation, then reflection.
First, a translation is performed to move the triangle in Quadrant IV to the corresponding position in Quadrant I. This can be done by shifting the triangle horizontally, along the x-axis, to ensure that the base of the triangle aligns with the x-axis in Quadrant I.
Next, a reflection is performed by flipping the triangle across the y-axis. This reflects the triangle from Quadrant I to Quadrant II, essentially swapping the positions of the two corresponding points.
By applying these two transformations (translation and reflection), the triangle in Quadrant IV can be moved and aligned with the triangle in Quadrant II, demonstrating that they are congruent.