Question

Justify each statement with a property from algebra or property of congruence.

If $AB=CD$,$CD=EF$and $EF=23$then $AB=23$.

Short answer

From the property of congruence, it is proved that $AB=23$.

Step-by-step solution

Step 1. Transitive property of congruence.

If$PQ=MN$ and $MN=RS$then $PQ=RS$.

Step 2. Description of step.

Apply transitive property of congruence to the given sides.

$\begin{array}{l}AB=CD=EF\\ AB=EF\end{array}$

Step 3. Description of step.

Substitute 23 for $EF$into $AB=EF$to find the required answer.

$\begin{array}{c}AB=EF\\ =23\end{array}$

Therefore, the value of $AB$is 23.