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1 of 51 of 5 Items Question Use the image to answer the question. Describe the series of transformations that have occurred to move the triangle in Quadrant IV to the triangle in Quadrant II to show that the triangles are congruent.(1 point) Responses rotation, then translation rotation, then translation rotation, then reflection rotation, then reflection reflection, then translation reflection, then translation translation, then rotation translation, then rotation Skip to navigation

Answer 1

To describe the transformations that have moved the triangle in Quadrant IV to the triangle in Quadrant II, we typically consider how to reposition a triangle through rotation, translation, and reflection.

1. Rotation: If the triangle is rotated around a point (often the origin), the orientation of the triangle changes but its size stays the same.
2. Reflection: Reflecting the triangle over a line (like the y-axis) will also change its position but maintain the same size and shape.
3. Translation: Moving the triangle in plane without rotating or flipping it.

Given that the original triangle is in Quadrant IV and the new one is in Quadrant II, one common sequence is:

• Reflect the triangle across the y-axis (which moves it from Quadrant IV to Quadrant III), and then
• Translate it upward to move it from Quadrant III to Quadrant II.

Considering all this, the response that best fits the movements described would be: reflection, then translation.