The symmetric property of equality states that a segment or angle is congruent with itself. True O False

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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**Quiz Question:**

*The symmetric property of equality states that a segment or angle is congruent with itself.*

- ○ True
- ○ False

**Explanation:**

In mathematics, the concept described here aligns more with the reflexive property of equality, where any geometric figure (such as a segment or angle) is congruent to itself. The symmetric property states that if a = b, then b = a, focusing on the equality and interchangeability between two entities rather than self-congruence. Therefore, the statement as presented is false with respect to the symmetric property.
Transcribed Image Text:**Quiz Question:** *The symmetric property of equality states that a segment or angle is congruent with itself.* - ○ True - ○ False **Explanation:** In mathematics, the concept described here aligns more with the reflexive property of equality, where any geometric figure (such as a segment or angle) is congruent to itself. The symmetric property states that if a = b, then b = a, focusing on the equality and interchangeability between two entities rather than self-congruence. Therefore, the statement as presented is false with respect to the symmetric property.
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