Use the distributive property to fill in the blanks below.
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When a set of reflections that carry a shape onto itself, it means that the final position of the shape will be the same as its original location
Reflections <em>(a) y=x, x-axis, y=x, y-axis </em>would carry the hexagon onto itself
First; we test the given options, until we get the true option
<u>(a) y=x, x-axis, y=x, y-axis</u>
The rule of reflection y =x is:
The rule of reflection across the x-axis is:
So, we have:
The rule of reflection y =x is:
So, we have:
Lastly, the reflection across the y-axis is:
So, we have:
So, the overall transformation is:
Notice that, the original and final coordinates are the same.
This means that:
Reflections <em>(a) y=x, x-axis, y=x, y-axis </em>would carry the hexagon onto itself
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