Graph \(A(1,\ 3)\) and \(B(5,\ 1)\). Draw \(\overline{A B}\). Use your graph to estimate the midpoint of \(\overline{A B}\). Check your answer by using the Midpoint Formula. Equation Transcription: Text Transcription: A(1, 3) B(5, 1) overline AB
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Textbook Solutions for Geometry: Concepts and Applications, Student Edition (GEOMETRY: CONCEPTS & APPLIC)
Question
Fina wants to find the midpoint of a segment on a number line. She finds the length of the segment and divides by \(2\). She adds this number to the coordinate of the left endpoint to find the midpoint. Kenji says she should subtract the number from the coordinate of the right endpoint to find the midpoint. Who is correct? Explain your reasoning.
Solution
The first step in solving 2-5 problem number trying to solve the problem we have to refer to the textbook question: Fina wants to find the midpoint of a segment on a number line. She finds the length of the segment and divides by \(2\). She adds this number to the coordinate of the left endpoint to find the midpoint. Kenji says she should subtract the number from the coordinate of the right endpoint to find the midpoint. Who is correct? Explain your reasoning.
From the textbook chapter Segment Measure and Coordinate Graphing - Midpoints you will find a few key concepts needed to solve this.
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