To show that two sides are parallel to each other.
Answer to Problem 6PSA
Explanation of Solution
Given information:
Formula used:
The below properties are used:
If a lines are parallel, then there corresponding
Corresponding sides of similar
Means extremes product theorem:
If a product of a pair of not zero numbers is equal to the product of another pair of not zero numbers, then either pair of numbers be made the extremes, and the other pair the means, of proportion.
Proof:
It is given that,
If a lines are parallel, then there corresponding angles are congruent.
By AA similarity rule, we get
Corresponding sides of similar triangles are proportional.
Applying means extremes product theorem, we get
Chapter 8 Solutions
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning