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
Related questions
Question
![**08.2 Quick Check**
**Question 12**
Find the value of \( x \) if \(\dfrac{QU}{QS} = \dfrac{RV}{RT} \).
Diagram Explanation:
The diagram depicts a trapezoid with parallel sides \( \overline{QU} \) and \( \overline{RV} \). The lengths of the four segments are given as follows:
- \( QU = 6 \)
- \( QS = x \)
- \( RV = 4 \)
- \( RT = 6 \)
The ratio of the segments on one side of the trapezoid is equal to the ratio of the segments on the other side.
\[
\dfrac{QU}{QS} = \dfrac{RV}{RT}
\]
With the provided segment lengths, algebraic manipulation will allow finding the value of \( x \).
**The value of \( x \) is:** [Text Box]
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Transcribed Image Text:**08.2 Quick Check**
**Question 12**
Find the value of \( x \) if \(\dfrac{QU}{QS} = \dfrac{RV}{RT} \).
Diagram Explanation:
The diagram depicts a trapezoid with parallel sides \( \overline{QU} \) and \( \overline{RV} \). The lengths of the four segments are given as follows:
- \( QU = 6 \)
- \( QS = x \)
- \( RV = 4 \)
- \( RT = 6 \)
The ratio of the segments on one side of the trapezoid is equal to the ratio of the segments on the other side.
\[
\dfrac{QU}{QS} = \dfrac{RV}{RT}
\]
With the provided segment lengths, algebraic manipulation will allow finding the value of \( x \).
**The value of \( x \) is:** [Text Box]
[Back] [Next]
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