Prove the theorem Let C be a point not on the line AB. There is exactly one line through C that is perpendicular to AB

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
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Prove the theorem

Let C be a point not on the line AB. There is exactly one line through C that is perpendicular to AB

Expert Solution
Step 1

Draw a line AB

Geometry homework question answer, step 1, image 1

 

Now, Take a point C not on the line 

Geometry homework question answer, step 1, image 2

 

Now draw a perpendicular on the line AB from point C

Geometry homework question answer, step 1, image 3

 

Let's take another point on line AB and join it with point C

Geometry homework question answer, step 1, image 4

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