Question

1. According to the Transitive Property of Equality, if TX = XY and XY = YZ, then TX = ___. (1 point)

A. TX
B. XY
C. YZ
D. TZ
2. Which property is illustrated by the statement, if KL = LM, then LM = KL? (1 point)
A. Reflexive Property of Equality
B. Symmetric Property of Equality
C. Transitive Property of Equality
D. Division Property of Equality

Answer 1

C and B.

Explanation:

According to the Transitive Property of Equality:

`if \ TX=XY;XY=YZ \implies TX=YZ`

So, the right answer is C.

The transitive property of equality is used to solve equality problems, because we use an indirect relation to demonstrate some result.

The statement
`KL=LM \implies LM=KL` illustrates the symmetric property of equality, which states that an equivalence is congruent in either direction.

Therefore, the right statement is B.

Answer 2

1. According to the Transitive Property of Equality, if TX = XY and XY = YZ, then TX = YZ.

2. Which property is illustrated by the statement, if KL = LM, then LM = KL?
Symmetric Property of Equality