Triangle abc is translated using the rule (x, y) ? (x + 1, y ? 4) to create triangle a? b? c? . if a line segment is drawn from point a to point a? and from point b to point b? , which statement would best describe the line segments drawn?

Translation involves moving a function away from its original position.

The statement that describes the line segments is:

Both lines would be parallel and congruent

The translation is given as:

Translation is a rigid transformation.

This means that, the image and the pre-image would have the same measure.

So, when a line is drawn from A to A' and B to B'

Assume the coordinates of A and B are:

Apply transformation

The distance of lines AA' and BB' is calculated using:

So, we have:

Notice that:

Because translation is a rigid transformation, then lines AA' and BB' would also be congruent

Read more about translations at:

link

The line segments AA' and BB' are parallel and congruent

Step-by-step explanation:

we know that

When the transformation is a translation, the figure does not change its shape or dimensions,

so

AA'=BB'=CC'

therefore

The line segments AA' and BB' are parallel and congruent

x=6 and x=3

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step-by-step explanation: