Describe the series of transformations that have occurred to move the triangle in Quadrant IV to the triangle in Quadrant II to show that the triangles are congruent. (A point)
• reflection, then translation
translation, then rotation
rotation, then reflection
rotation, then translation
In order to move the triangle in Quadrant IV to the triangle in Quadrant II, the series of transformations would be:
1. Reflection: The triangle is reflected across the y-axis to create a mirror image of itself. This transformation ensures that the corresponding sides and angles of the two triangles are congruent.
2. Translation: The reflected triangle is then translated horizontally and vertically to move it to Quadrant II. This movement ensures that the corresponding vertices of the two triangles align.
Therefore, the correct series of transformations to move the triangle in Quadrant IV to the triangle in Quadrant II is reflection, then translation.