Question

write a paragraph proof for each property of segment congruence. a. reflexive property of segment congruence given: xy prove: xy = xy proof: it is given that xy is a segment. by the select choice, xy = xy. thus, xy = xy by the definition of select choice. need help with this question? get a hint

Explanation:

Step1: Recall reflexive property concept

The reflexive property states that any quantity is equal to itself. In the context of segment congruence, a segment is congruent to itself.

Step2: Apply to segment XY

Since \(XY\) is a segment, by the reflexive property of equality, \(XY = XY\). And by the definition of congruent segments (if two segments have the same length, they are congruent), the length of \(XY\) is equal to the length of \(XY\), so \(XY\cong XY\).

Answer:

By the reflexive property of equality, \(XY = XY\). By the definition of congruent segments (segments with equal lengths are congruent), \(XY\cong XY\).