What is the sequence of steps used to move triangle DFG in Quadrant I to the triangle in Quadrant II to show that the triangles are congruent
To show that triangle DFG in Quadrant I is congruent to the triangle in Quadrant II, the following sequence of steps can be used:
1. Start with triangle DFG in Quadrant I, where the points D, F, and G are located.
2. Reflect triangle DFG along the y-axis (vertical line passing through the origin) to create a mirror image of the triangle.
3. The reflected triangle will have points located in Quadrant II, where the reflected points are D', F', and G'.
4. By applying the reflection, the distances and angles between the corresponding points of triangle DFG in Quadrant I and the reflected triangle in Quadrant II will remain the same.
5. Therefore, triangle DFG in Quadrant I is congruent to the triangle in Quadrant II, as all corresponding sides and angles are congruent.