Match the statement to the property it shows.
If MN = XY, and XY = AB, then MN = AB.
If AB = CD, then CD = AB.
Segment CD is congruent to segment CD.

Match the statement to the property it shows If MN XY and XY AB then MN AB If AB CD then CD AB Segment CD is congruent to segment CD class=

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Answer:

If MN = XY, and XY = AB, then MN = AB.  Transitive Property

If AB = CD, then CD = AB.  Symmetric Property

Segment CD is congruent to segment CD. Reflexive Property

Step-by-step explanation:

Transitive property states that for all reall numbers a, b, and c, if a = b, b = c, then a = c.

Symmetric Property states that for all real numbers a and b, if a = b, then b = a.

Reflexive Property states that for every real number a, a=a

1. Transitive property

2. Symmetric property

3. Reflexive property

What are equivalence properties ?

The equivalence properties are Reflexive property, Symmetric property & Transitive property.

Reflexive Property : For every real number a, a=a

Symmetric Property : For real numbers a & b, if a=b then b=a

Transitive Property : For real numbers a, b, c, if a=b & b=c then a=c

What are the perfect matches ?

1. If MN = XY, and XY = AB, then MN = AB ⇒ Transitive property

2. If AB = CD, then CD = AB ⇒ Symmetric property

3. Segment CD is congruent to segment CD ⇒ Reflexive property

Learn more about equivalence properties here :

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