describe the series of Transformations that have occurred to move the triangle in Quadrant 4 to the triangle and cogent 2 to show that the triangles are congruent

Answer 1

To move the triangle in Quadrant 4 (Triangle A) to Triangle B in Quadrant 2, several transformations can be applied:

1. Reflection over the x-axis: This transformation flips Triangle A over the x-axis. The resulting image, Triangle A', appears in Quadrant 2.

2. Translation: Next, a translation is performed to move Triangle A' to the desired position. The translation involves shifting Triangle A' two units to the left and three units upwards. This moves Triangle A' to coincide with Triangle B, resulting in Triangle B'.

3. Rotation: Finally, Triangle B' is rotated counterclockwise by 90 degrees around the origin. The rotation centers Triangle B' at the origin and aligns its sides with those of Triangle B. Consequently, Triangle B' is superimposed on Triangle B, confirming that they are congruent.

In summary, the transformations involved in moving Triangle A to Triangle B are reflection, translation, and rotation.