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.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks

Related questions

Question

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.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Translations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.