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Is QT a median, midsegment, altitude, angle bisector or perpendicular bisector, or neither? A. perpendicular bisector B. altitude C. median D. angle bisector

Is QT a median, midsegment, altitude, angle bisector or perpendicular bisector, or neither? A. perpendicular bisector B. altitude C. median D. angle bisector

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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Is QT a median, midsegment, altitude, angle bisector or perpendicular bisector, or neither?

A. perpendicular bisector

B. altitude

C. median

D. angle bisector

In triangle \( \triangle PRT \), the side lengths are given as follows: \( PS = 12.0 \, \text{cm} \), \( UV = 2.7 \, \text{cm} \), and \( ST = 7.3 \, \text{cm} \). ### Diagram Explanation: The diagram illustrates triangle \( \triangle PRT \) with additional segments and points within and outside the triangle: - **Points:** The vertices of the main triangle are labeled as \( P \), \( R \), and \( T \). - **Inner Points:** The points \( Q \), \( U \), \( S \), and \( V \) are located inside or on the edges of the triangle. - **Segments:** - Segment \( PS \) is marked with a double line indicating it is 12.0 cm. - Segment \( UV \) is shown with three vertical lines indicating a length of 2.7 cm. - Segment \( ST \) is marked with a single line, representing a length of 7.3 cm. - Additional segments include \( PR \), \( RT \), and other inner segments joining points such as \( Q \), \( V \), etc. ### Notations: - **Parallel or Equal Segments:** The use of different numbers of lines (single, double, triple) indicates relationships like parallel or equal lengths but specific to segment indication rather than depicting actual scale. This diagram serves as an illustrative representation to explore geometric properties and relationships within the triangle and its segments.
Transcribed Image Text:In triangle \( \triangle PRT \), the side lengths are given as follows: \( PS = 12.0 \, \text{cm} \), \( UV = 2.7 \, \text{cm} \), and \( ST = 7.3 \, \text{cm} \). ### Diagram Explanation: The diagram illustrates triangle \( \triangle PRT \) with additional segments and points within and outside the triangle: - **Points:** The vertices of the main triangle are labeled as \( P \), \( R \), and \( T \). - **Inner Points:** The points \( Q \), \( U \), \( S \), and \( V \) are located inside or on the edges of the triangle. - **Segments:** - Segment \( PS \) is marked with a double line indicating it is 12.0 cm. - Segment \( UV \) is shown with three vertical lines indicating a length of 2.7 cm. - Segment \( ST \) is marked with a single line, representing a length of 7.3 cm. - Additional segments include \( PR \), \( RT \), and other inner segments joining points such as \( Q \), \( V \), etc. ### Notations: - **Parallel or Equal Segments:** The use of different numbers of lines (single, double, triple) indicates relationships like parallel or equal lengths but specific to segment indication rather than depicting actual scale. This diagram serves as an illustrative representation to explore geometric properties and relationships within the triangle and its segments.
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