Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

segment ab is congruent to segment ab. this statement shows the _____ p…

Question

segment ab is congruent to segment ab. this statement shows the _____ property. reflexive symmetric transitive substitution

Explanation:

Brief Explanations

The reflexive property states that any geometric figure is congruent (or equal) to itself. Here, segment \(AB\) is congruent to segment \(AB\), which directly follows the reflexive property. The substitution property involves replacing one quantity with another equal quantity. The transitive property states that if \(a = b\) and \(b = c\), then \(a = c\). The symmetric property states that if \(a=b\), then \(b = a\). Since the statement is about a figure being congruent to itself, it is the reflexive property.

Answer:

reflexive