Describe the sequence of steps, used to move the triangle to quadrant four to the triangle in quadrant two to show the triangles are congruent. Original position was A (-5, 5) B (-5, 3) C (-1, 3) new position A (3, 3) B (3, 1) C (7, 1)

Question

A reflection then translation
B translation, then transformation
C translation, then reflection
D rotation, then translation

Answer 1

C) translation, then reflection.

The sequence of steps used to move the triangle from quadrant four to quadrant two can be described as follows:

1) Translation: The triangle is moved to the right by 8 units and down by 2 units to the new position.
- A (-5, 5) is translated to (3, 3)
- B (-5, 3) is translated to (3, 1)
- C (-1, 3) is translated to (7, 1)

2) Reflection: The triangle is then reflected across the y-axis to obtain the final position.
- A (3, 3) is reflected to (-3, 3)
- B (3, 1) is reflected to (-3, 1)
- C (7, 1) is reflected to (-7, 1)

Therefore, the correct answer is C) translation, then reflection.