Describe the sequence of steps used to move the triangle and quadrant for to the triangle and quadrant 2 to show that the triangles are congruent
To move Triangle 1 to Triangle 2 and Quadrant 1 to Quadrant 2 in order to show that the triangles are congruent, we can follow the following sequence of steps:
1. Start with Triangle 1 and Quadrant 1 in their original position.
2. Translate Triangle 1 and Quadrant 1 to Quadrant 2, maintaining the same orientation and direction. This means moving them directly across the y-axis to the left.
3. Rotate Triangle 1 and Quadrant 1 180 degrees around the origin. The point of rotation is the origin (0,0), so the vertices and points of Quadrant 1 and Triangle 1 essentially flip to Quadrant 2.
4. Verify that Triangle 1 and Quadrant 1 have been accurately translated and rotated to Triangle 2 and Quadrant 2, respectively.
By following these steps, we have effectively moved Triangle 1 and Quadrant 1 to Triangle 2 and Quadrant 2, demonstrating that the two triangles are congruent.