Question

identifying properties
match the statement to the property it shows.
if ab = cd, then cd = ab.
segment cd is congruent to segment cd.
if mn = xy, and xy = ab, then mn = ab.
reflexive property
symmetric property
transitive property

Explanation:

1. For the statement "If \( AB = CD \), then \( CD = AB \)": The symmetric property of equality (or congruence) states that if one quantity is equal (or congruent) to another, then the second is equal (or congruent) to the first. So this matches the symmetric property.
2. For the statement "Segment \( CD \) is congruent to segment \( CD \)": The reflexive property of congruence (or equality) states that any quantity is congruent (or equal) to itself. So this matches the reflexive property.
3. For the statement "If \( MN = XY \), and \( XY = AB \), then \( MN = AB \)": The transitive property of equality (or congruence) states that if \( a = b \) and \( b = c \), then \( a = c \). So this matches the transitive property.

Answer:

• "If \( AB = CD \), then \( CD = AB \)" → symmetric property
• "Segment \( CD \) is congruent to segment \( CD \)" → reflexive property
• "If \( MN = XY \), and \( XY = AB \), then \( MN = AB \)" → transitive property