Rotate ABC 90° clockwise about the origin. Then translate 0 units up and 4 units right.
Rotate ABC 90° clockwise about the origin. This transformation involves pivoting each point of triangle ABC by 90 degrees in the clockwise direction around the origin. The new configuration results in triangle DEC, as each vertex is now positioned according to the specified rotation.
Next, reflect DEC across the x-axis. This process entails flipping each point of triangle DEC over the x-axis, effectively mirroring the triangle. The reflection transforms triangle DEC into triangle DEB, where the corresponding vertices are now situated on the opposite side of the x-axis.
Therefore, to map triangle ABC onto triangle DEB, perform a rotation of 90° clockwise about the origin, followed by a reflection across the x-axis. As a result, the final transformation involves both rotation and reflection, ensuring that the vertices of triangle ABC align precisely with those of triangle DEB.