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Nina [5.8K]
3 years ago
9

In a translation, the line segments that connect each point on the preimage to the corresponding point on the image are not only

congruent but also __________.
A.
perpendicular
B.
intersecting
C.
rotated
D.
parallel
Mathematics
2 answers:
Marianna [84]3 years ago
7 0
Translation doesn't change the shape, size, or orientation of anything.
It just moves things around.

So the line segments in the image are not only congruent to the ones
in the original figure.  They're also parallel.
iogann1982 [59]3 years ago
4 0

Answer:D. Parallel

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Let's find the points A and B.

We know that the y-coordinates of both are 3.

So let's first solve:

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Subtract 3 on both sides:

0=4x^2+x-1-3

Simplify:

0=4x^2+x-4

I'm going to use the quadratic formula, x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}, to solve.

We must first compare to the quadratic equation, ax^2+bx+c=0.

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Since the distance between the points A and B is horizontal. We know this because they share the same y-coordinate.This means we just need to find the positive difference between the x-values we found for the points of A and B.

So that is, the distance between A and B is:

\frac{-1+\sqrt{65}}{8}-\frac{-1-\sqrt{65}}{8}

\frac{-1+\sqrt{65}+1+\sqrt{65}}{8}

\frac{2\sqrt{65}}{8}

\frac{\sqrt{65}}{4}

If we compare this to \frac{\sqrt{m}}{n}, we should see that:

m=65 \text{ and } n=4.

So m-n=65-4=61.

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