6) Choose which postulate proves the triangles congruent.

Answer:
SAS(Side.Angle.Side
Step-by-step explanation:
since x is mid point of pr and qs so px=xr and x is midpoint of qs so qx=sx,
and two lines intercept so angles made on point x are equal.....hence 2 sides and one angle proved so triangles are equal
The postulate that can be used to prove that triangle QXP and triangle SXR are congruent to each other is: SAS Congruence Theorem,
Recall:
Since X is a midpoint of QS and RP, therefore:
[tex]PX \cong RX\\\\QX \cong SX\\[/tex]
<PXQ = <SXR (vertical angles are congruent)
Therefore, the postulate that can be used to prove that triangle QXP and triangle SXR are congruent to each other is: SAS Congruence Theorem,
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