Question

for each property, complete the example. transitive property

equality	congruence

:: (ab) :: (mr) :: (18) :: (overline{ab}) :: (overline{mr}) :: (overline{tw})

Explanation:

Step1: Apply transitive property of equality

Given $AB = MR$ and $MR = 18$, by transitive - property of equality which states if $a = b$ and $b = c$, then $a = c$. Here $a = AB$, $b = MR$, $c = 18$, so $AB=18$.

Step2: Apply transitive property of congruence

Given $\overline{AB}\cong\overline{MR}$ and $\overline{MR}\cong\overline{TW}$, by transitive - property of congruence which states if $a\cong b$ and $b\cong c$, then $a\cong c$. Here $a=\overline{AB}$, $b = \overline{MR}$, $c=\overline{TW}$, so $\overline{AB}\cong\overline{TW}$.

Answer:

Equality: 18
Congruence: $\overline{TW}$