Question

visit www.bigideasmathvideos.com to watch the flipped video instruction for
note: video instruction can be found under common core high school geome
try this video for extra example 4 – using properties of equality with ang
name the property of equality that the statement illustrates.

1. ( pq = st ), so ( st = pq )
2. ( zy = zy )
3. if ( ab = cd ), then ( ab + fe = cd + fe ).
4. if ( mangle2 = mangle4 ) and ( mangle4 = mangle6 ), then ( mangle2 = mangle6 ).

Explanation:

1. The statement swaps the two sides of an equality, which matches the definition of the symmetric property of equality.
2. The statement shows a quantity is equal to itself, which is the reflexive property of equality.
3. The same quantity is added to both sides of an equality, which is the addition property of equality.
4. If two quantities equal a third, they equal each other, which is the transitive property of equality.

Answer:

1. Symmetric Property of Equality
2. Reflexive Property of Equality
3. Addition Property of Equality
4. Transitive Property of Equality