According to the Transitive Property of Equality, If TX=XY and XY=YZ then TX=_________.
a. TX b. XY c. YZ*** d. TZ
1. C. YZ
2. B. Symmetric POE (Property of Equality)
3. C. Distributive Property ( Statement 2 )
4. B. Combine like Terms (Statment 3 )
5. A. Subtraction Property of Equality ( Statment 4 )
6. D. Division Property of Equality ( Statment 5 )
As of 2021 these are the answers for Geometry: Reasoning in algebra and geometry
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According to the Transitive Property of Equality, if TX = XY and XY = YZ, then we can substitute XY for TX. So, the correct answer is c. YZ.
To understand why, let's break it down:
1. Given that TX = XY and XY = YZ.
2. Using the Transitive Property, we can substitute XY for TX.
3. Therefore, TX can be replaced with XY.
4. Thus, we can conclude that TX = YZ.
This property allows us to establish a chain of equalities, so if two things are equal and one of them is equal to a third thing, then the original two things are also equal to each other.