A triangle has vertices at A (1, 3), B (4, 2), and C (3, 8). Which transformation would produce an image with vertices A¢(-1, 3), B¢(-4, 2), C ¢(-3, 8)?

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Answer:

Reflection across the Y axis

Step-by-step explanation:

If you plot each point of the triangle in its before and after positions you are able to see that the triangle's original shape was reflected across the Y axis to reach its end form.

Think about a rubik's cube rolling if you are struggling with reflections.

The transformation that would produce the image is a reflection across the y-axis

The coordinate of the pre-image of the triangle is given as:

A (1, 3), B (4, 2), and C (3, 8)

The coordinate of the image of the triangle is given as:

A¢(-1, 3), B¢(-4, 2), C ¢(-3, 8)

Notice that the x-coordinates are negated, while the y-coordinates remain unchanged.

The above transformation represents a reflection across the y-axis

Read more about transformation at:

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