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Use the image to answer the question. What is the sequence of steps used to move the triangle in Quadrant IV to the triangle in Quadrant II to show that the triangles are congruent? (1 point) Responses reflection, then translation reflection, then translation translation, then reflection translation, then reflection translation, then transformation translation, then transformation rotation, then translation

1 answer

To determine the correct sequence of steps used to move the triangle in Quadrant IV to the triangle in Quadrant II and show that they are congruent, we need to consider the movements involved.

  1. Reflection: To move a shape from Quadrant IV to Quadrant II, we can first reflect it across the y-axis. This will flip the triangle from the right side of the y-axis to the left side.

  2. Translation: After reflecting the triangle across the y-axis, we might need to translate it (move it without changing its orientation) if it doesn't align perfectly with the triangle in Quadrant II. The translation will align the triangle exactly to the position in Quadrant II.

Given this analysis, the most logical option would be:

Reflection, then Translation

So, the answer is: reflection, then translation.