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Construct viable arguments. Use the dia shown. A

Construct viable arguments. Use the dia shown. A

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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**Construct Viable Arguments: Use the Diagram Shown** The diagram includes a point \( T \), from which two rays \( \overrightarrow{TA} \) and \( \overrightarrow{TB} \) extend. There is a third ray \( \overrightarrow{TC} \) that appears to be bisecting the angle \( \angle ATB \). The segments are labeled as follows: the angle \( \angle ATB \) is divided into two angles, 1 and 2, by ray \( \overrightarrow{TC} \). ### Exercises: **Write a statement that can be justified by each of the following:** a. **Definition of angle bisector** b. **Angle Addition Postulate** Note: The angle bisector is a ray that divides an angle into two equal smaller angles. The Angle Addition Postulate states that if a point lies inside an angle, the sum of the two adjacent angles created is equal to the original angle.
Transcribed Image Text:**Construct Viable Arguments: Use the Diagram Shown** The diagram includes a point \( T \), from which two rays \( \overrightarrow{TA} \) and \( \overrightarrow{TB} \) extend. There is a third ray \( \overrightarrow{TC} \) that appears to be bisecting the angle \( \angle ATB \). The segments are labeled as follows: the angle \( \angle ATB \) is divided into two angles, 1 and 2, by ray \( \overrightarrow{TC} \). ### Exercises: **Write a statement that can be justified by each of the following:** a. **Definition of angle bisector** b. **Angle Addition Postulate** Note: The angle bisector is a ray that divides an angle into two equal smaller angles. The Angle Addition Postulate states that if a point lies inside an angle, the sum of the two adjacent angles created is equal to the original angle.
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