Question

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

If$RS=TW$ then $TW=RS$.

Short answer

From the property of congruence, it is proved that $TW=RS$.

Step-by-step solution

Step 1. Symmetric property of congruence.

The symmetric property of congruence states that, if figure A is congruent to figure B then figure B is congruent to A.

Step 2. Description of step.

Consider $AB=CD$then by symmetric property of congruence, $CD=AB$.

Step 3. Description of step.

By applying symmetric property of congruence to the given sides, that is, $RS=TW$gives $TW=RS$.