Question

In the diagram shown, CD = BC and BC = AB. Choose the reasons that best support the following reasoning used to show that x = 11.

1. CD = BC and BC = AB; therefore, CD = AB
2. CD = AB, AB = x, and CD = 11; therefore, 11 = x
3. 11 = x; therefore, x = 11

A.
1. substitution property 2. transitive property 3. symmetric property
B.
1. transitive property 2. substitution property 3. symmetric property
C.
1. symmetric property 2. substitution property 3. transitive property
D.
1. transitive property 2. symmetric property 3. substitution property

Answer 1

1. CD = BC and BC = AB; therefore, CD = AB

this is an example of `transitive property` which says if `a=b` and `b=c`, then `a=c`

Answer 2

based on above information, which options can you eliminate ? :)

Answer 3

A&C?:) @graneshie8