Question

By applying SAS congruence rule , you want to establish that $\vartriangle PQR \cong \vartriangle FED$. It is given that PQ = FE and RP = DE . What additional information is needed to establish the congruence?

Answer 1

Hint: Use the properties of SAS congruence rule to find the additional information is needed to establish the congruence. Use a diagram to observe and find the required information.

Complete step-by-step answer:

We know that the SAS rule states that “If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent”. Thus observing the diagram and using the information PQ = FE and RP = DE from the question we get ,
The required information for proving the congruence by SAS rule is $\angle QPR = \angle FED$
Therefore $\angle QPR$ and $\angle FED$ should be equal to prove the triangles congruent by SAS rule .

Note: Remember to recall the properties of congruence rules while doing such types of questions . Also note that the angle should be the angle between two equal lines of a particular triangle to prove the SAS congruence rule.