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3 years ago

The figure is reflected across line m and the reflected across line n. What type of transformation is the result?

Mathematics

1 answer:

slega [8]3 years ago

6 0

It's a translation.

A reflection across a line is like flipping that object like a pancake over the line. It gets turned upside-down.

When you flip the pancake again, now across a parallel line, it gets turned right-side up again, just in a new location.

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By direct comparison and definition of line segment we notice that the point (x, y) = (- 6, 0) lies on the line segment AB as each AP is a multiple of former. (Correct choice: C)

<h3>What point lies on a line segment?</h3>

According to linear algebra, a point lies in a line segment if its vector is a multiple of the vector that generates the line segment itself, that is:

AB = k · AP (1)

The vector that generates the line segment is:

AB = (2, 6) - (- 2, 3)

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And the vectors related to each point are:

Case A

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Case B

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Case C

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Case D

AP = (- 6, 6) - (- 2, 3)

AP = (- 4, 3)

To learn more more on line segments: brainly.com/question/25727583

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