Answer:
In triangle PRQ and triangle SRT
[tex]\angle Q\cong \angle T[/tex] [ANGLE] [Given]
[tex]\overline {QR} \cong \overline {TR}[/tex] [SIDE] [Given]
[tex]\angle PRQ \cong \angle SRT[/tex] [ANGLE] [Vertical angle are congruent]
ASA Postulate (Angle-Side-Angle): States that:
If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
then, by the ASA postulates we can say that : [tex]\triangle PRQ \cong \triangle SRT[/tex]
Corresponding parts of congruent triangles are congruent (CPCTC) means that two triangles are congruent if their corresponding sides are equal in length and their corresponding angles are equal in measure.
Then , by CPCT we have; [tex]\overline{PR} \cong \overline{SR}[/tex]
