Question

given: qr = 59; rt = 59
prove: qr = rt

statements	reason
2. 59 = rt	2. symmetric property of equality
3. qr = rt	3. blank

which property listed below is the final reason in the proof.

submit answer \t\t\task for help

Explanation:

Step1: Recall Equality Properties

We know from step 1 that \( QR = 59 \) and \( RT = 59 \), and from step 2 that \( 59 = RT \). We need to relate \( QR \) and \( RT \).

Step2: Apply Transitive Property

The Transitive Property of Equality states that if \( a = b \) and \( b = c \), then \( a = c \). Here, let \( a = QR \), \( b = 59 \), and \( c = RT \). Since \( QR = 59 \) (from step 1) and \( 59 = RT \) (from step 2), by the Transitive Property of Equality, we can conclude \( QR = RT \).

Answer:

Transitive Property of Equality