A triangle is shown. The table names different transformations that can be applied to the triangle.
Drag a graph to each spot in the table to show where the triangle moves after each transformation is applied.
Transformation
First, rotate 270° counterclockwise around the origin.
Then, reflect across the y-axis.
Figure
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Transformation
First, translate 1 unit down.
Then, reflect across the y-axis.
Figure
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Transformation
First, rotate 180° counterclockwise around the origin.
Then, reflect across the x-axis.
Figure
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To complete the transformations for your triangle, let’s break down each one step-by-step.
### 1. Transformation: Rotate 270° Counterclockwise around the Origin, then Reflect across the Y-Axis.
– Rotate 270° Counterclockwise: When you rotate a point (x, y) 270° counterclockwise, it transforms to (y, -x).
– Reflect across the Y-Axis: After the rotation, if the new point is (a, b), reflecting it over the y-axis gives us (-a, b).
Final Position: The triangle will have moved to a new position after these two transformations.
### 2. Transformation: Translate 1 Unit Down, then Reflect across the Y-Axis.
– Translate 1 Unit Down: This means every point (x, y) turns into (x, y – 1).
– Reflect across the Y-Axis: The new point (x, y) after translation becomes (-x, y).
Final Position: This second transformation will also place the triangle in a new position.
### 3. Transformation: Rotate 180° Counterclockwise around the Origin, then Reflect across the X-Axis.
– Rotate 180° Counterclockwise: This changes a point (x, y) to (-x, -y).
– Reflect across the X-Axis: After the 180° rotation, the point (-x, -y) reflects to (-