Find solutions to your problems with the help of IDNLearn.com's knowledgeable users. Our platform provides detailed and accurate responses from experts, helping you navigate any topic with confidence.
Sagot :
To solve the question, consider the given statements:
1. [tex]\( PQ = RS \)[/tex]
2. [tex]\( RS = 10 \)[/tex]
We need to find the value of [tex]\( PQ \)[/tex]. We can use these two statements in the proof.
To begin, let's apply the properties of equality:
1. From the first statement given, we know that [tex]\( PQ = RS \)[/tex].
2. From the second statement given, we know that [tex]\( RS = 10 \)[/tex].
The key principle here is the Transitive Property of Equality. The Transitive Property of Equality states that if [tex]\( a = b \)[/tex] and [tex]\( b = c \)[/tex], then [tex]\( a = c \)[/tex]. In this case:
- We have [tex]\( PQ = RS \)[/tex] (where [tex]\( PQ \)[/tex] and [tex]\( RS \)[/tex] are the expressions in our given equations).
- We also have [tex]\( RS = 10 \)[/tex] (where [tex]\( RS \)[/tex] and 10 are equal).
By applying the Transitive Property of Equality:
Since [tex]\( PQ = RS \)[/tex] and [tex]\( RS = 10 \)[/tex], we can conclude that [tex]\( PQ = 10 \)[/tex].
Thus, the correct reason for the statement [tex]\( PQ = 10 \)[/tex] is the:
Transitive Property of Equality
Therefore, the correct answer is:
Transitive Property of Equality
1. [tex]\( PQ = RS \)[/tex]
2. [tex]\( RS = 10 \)[/tex]
We need to find the value of [tex]\( PQ \)[/tex]. We can use these two statements in the proof.
To begin, let's apply the properties of equality:
1. From the first statement given, we know that [tex]\( PQ = RS \)[/tex].
2. From the second statement given, we know that [tex]\( RS = 10 \)[/tex].
The key principle here is the Transitive Property of Equality. The Transitive Property of Equality states that if [tex]\( a = b \)[/tex] and [tex]\( b = c \)[/tex], then [tex]\( a = c \)[/tex]. In this case:
- We have [tex]\( PQ = RS \)[/tex] (where [tex]\( PQ \)[/tex] and [tex]\( RS \)[/tex] are the expressions in our given equations).
- We also have [tex]\( RS = 10 \)[/tex] (where [tex]\( RS \)[/tex] and 10 are equal).
By applying the Transitive Property of Equality:
Since [tex]\( PQ = RS \)[/tex] and [tex]\( RS = 10 \)[/tex], we can conclude that [tex]\( PQ = 10 \)[/tex].
Thus, the correct reason for the statement [tex]\( PQ = 10 \)[/tex] is the:
Transitive Property of Equality
Therefore, the correct answer is:
Transitive Property of Equality
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for visiting IDNLearn.com. We’re here to provide accurate and reliable answers, so visit us again soon.