What is the sequence of steps used to move triangle DFG in Quadrant IV to the triangle in Quadrant III to show that the triangles are congruent? (1 point) Responses transformation, then translation transformation, then translation rotation, then translation rotation, then translation translation, then rotation translation, then rotation reflection, then translation

Question

What is the sequence of steps used to move triangle DFG in Quadrant IV to the triangle in Quadrant III to show that the triangles are congruent? (1 point) Responses transformation, then translation transformation, then translation rotation, then translation rotation, then translation translation, then rotation translation, then rotation reflection, then translation

Answer 1

The correct sequence of steps used to move triangle DFG in Quadrant IV to the triangle in Quadrant III to show that the triangles are congruent is:

1. Translation: Move the entire triangle to the left or right without any rotation.

2. Reflection: Reflect the triangle across the x-axis.

3. Translation: Move the reflected triangle up or down without any rotation.

These steps will prove that the triangles are congruent by showing that one can be transformed into the other through a series of rigid transformations.