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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Section
BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Given that MNPQ is a “trapezoid”, use intuition to draw a conclusion regarding M N - and P Q -

To determine

To find:

A conclusion regarding measures of MN- and PQ- using intuition.

Explanation

Approach:

Reasoning:

Reasoning is a process on experience and principles that leads to a conclusion.

Intuition:

We often say “It occurs to me that...” With intuition, a sudden insight allows one to make a statement without applying any formal reasoning. When intuition is used, we sometimes make an error by jumping to conclusions.

Parallel lines:

Parallel lines lie on the same page and will not cross over each other even if they are extended infinitely.

Procedure:

It is given that MNPQ is a “trapezoid”.

By observing the given diagram, it can be seen that MN- and PQ- will not cross over each other even if they are extended infinitely

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