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GalinKa [24]
2 years ago
9

What set of reflections would carry hexagon ABCDEF onto itself?

Mathematics
1 answer:
Marianna [84]2 years ago
4 0

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:

(x,y) \to (y,x)

The rule of reflection across the x-axis is:

(x,y) \to (x,-y)

So, we have:

(y,x) \to (y,-x)

The rule of reflection y =x is:

(x,y) \to (y,x)

So, we have:

(y,-x) \to (-x,y)

Lastly, the reflection across the y-axis is:

(x,y) \to (-x,y)

So, we have:

(-x,y) \to (x,y)

So, the overall transformation is:

(x,y) \to (x,y)

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

Read more about reflections at:

brainly.com/question/938117

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