A line segment has a length of 10 units. If the line segment undergoes a translation up 5 units and left 5 units from its original position, which statement is true? The length of the resulting line segment will be double the length of the original line segment since translations increase the lengths of line segments. The length of the resulting line segment will be double the length of the original line segment since translations increase the lengths of line segments. The length of the resulting line segment will be half the length of the original line segment since translations decrease the lengths of line segments. The length of the resulting line segment will be half the length of the original line segment since translations decrease the lengths of line segments. The length of the resulting line segment will not be the same as the original line segment since translations do not preserve the lengths of line segments. The length of the resulting line segment will not be the same as the original line segment since translations do not preserve the lengths of line segments. The length of the resulting line segment will be the same as the original line segment since translations preserve the lengths of line segments. The length of the resulting line segment will be the same as the original line segment since translations preserve the lengths of line segments.

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter8: Functions

Section8.7: Direct And Inverse Variation

Problem 36PS

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A line segment has a length of 10 units. If the line segment undergoes a translation up 5 units and left 5 units from its original position, which statement is true?

The length of the resulting line segment will be double the length of the original line segment since translations increase the lengths of line segments.

The length of the resulting line segment will be double the length of the original line segment since translations increase the lengths of line segments.
The length of the resulting line segment will be half the length of the original line segment since translations decrease the lengths of line segments.

The length of the resulting line segment will be half the length of the original line segment since translations decrease the lengths of line segments.
The length of the resulting line segment will not be the same as the original line segment since translations do not preserve the lengths of line segments.

The length of the resulting line segment will not be the same as the original line segment since translations do not preserve the lengths of line segments.
The length of the resulting line segment will be the same as the original line segment since translations preserve the lengths of line segments.

The length of the resulting line segment will be the same as the original line segment since translations preserve the lengths of line segments.

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