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Line / is the perpendicular bisector of AB. 3 cm A D B Find AC: cm

Line / is the perpendicular bisector of AB. 3 cm A D B Find AC: cm

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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The diagram depicts a geometric figure where Line \( l \) is the perpendicular bisector of line segment \( \overline{AB} \). The key elements of the figure include: - Points \( A \), \( B \), and \( C \) that form triangle \( \triangle ABC \). - Line segment \( \overline{AB} \) is bisected by the perpendicular line \( l \) at point \( D \), creating two equal segments, \( \overline{AD} \) and \( \overline{DB} \). - The length from point \( C \) to the midpoint \( D \) (line \( \overline{CD} \)) is 3 cm. There is a right angle between line \( l \) and line \( \overline{AB} \) at point \( D \). The task is to find the length of line segment \( \overline{AC} \). Below the diagram, there is a text input box labeled "Find AC:" followed by "cm" where learners are expected to input their answer for the length of \( \overline{AC} \). This exercise is designed to enhance understanding of geometric properties, specifically bisectors and triangle symmetry.
Transcribed Image Text:The diagram depicts a geometric figure where Line \( l \) is the perpendicular bisector of line segment \( \overline{AB} \). The key elements of the figure include: - Points \( A \), \( B \), and \( C \) that form triangle \( \triangle ABC \). - Line segment \( \overline{AB} \) is bisected by the perpendicular line \( l \) at point \( D \), creating two equal segments, \( \overline{AD} \) and \( \overline{DB} \). - The length from point \( C \) to the midpoint \( D \) (line \( \overline{CD} \)) is 3 cm. There is a right angle between line \( l \) and line \( \overline{AB} \) at point \( D \). The task is to find the length of line segment \( \overline{AC} \). Below the diagram, there is a text input box labeled "Find AC:" followed by "cm" where learners are expected to input their answer for the length of \( \overline{AC} \). This exercise is designed to enhance understanding of geometric properties, specifically bisectors and triangle symmetry.
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