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If AB = 6, BC = 2 and AD= 11, then what is CD? A C D

If AB = 6, BC = 2 and AD= 11, then what is CD? A C D

Elementary Geometry For College Students, 7e
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
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Title: Solving for Segment Length in a Line **Problem Statement:** Given: - \( AB = 6 \) - \( BC = 2 \) - \( AD = 11 \) Question: What is the length of \( CD \)? **Diagram Description:** A straight line is shown with points \( A \), \( B \), \( C \), \( D \) placed consecutively. The distances between points should satisfy the given conditions. **Choices:** - \( 9 \) - \( 4 \) - \( 3 \) - \( 5 \) **Solution Approach:** To find the length of \( CD \), use the equation for the whole length \( AD \), where: \[ AD = AB + BC + CD \] Substituting the known values: \[ 11 = 6 + 2 + CD \] Solve for \( CD \): \[ 11 = 8 + CD \] \[ CD = 11 - 8 = 3 \] So, the length of \( CD \) is \( 3 \).
Transcribed Image Text:Title: Solving for Segment Length in a Line **Problem Statement:** Given: - \( AB = 6 \) - \( BC = 2 \) - \( AD = 11 \) Question: What is the length of \( CD \)? **Diagram Description:** A straight line is shown with points \( A \), \( B \), \( C \), \( D \) placed consecutively. The distances between points should satisfy the given conditions. **Choices:** - \( 9 \) - \( 4 \) - \( 3 \) - \( 5 \) **Solution Approach:** To find the length of \( CD \), use the equation for the whole length \( AD \), where: \[ AD = AB + BC + CD \] Substituting the known values: \[ 11 = 6 + 2 + CD \] Solve for \( CD \): \[ 11 = 8 + CD \] \[ CD = 11 - 8 = 3 \] So, the length of \( CD \) is \( 3 \).
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