Respuesta :
We have proved that , the ΔXWZ is congruent to ΔZYX i.e., ΔXWZ ≅ ΔZYX
It is given that XY ║ WZ and XW ║ YZ.
We have to prove that ΔXWZ is congruent to ΔZYX i.e., ΔXWZ ≅ ΔZYX.
What is the SSS rule of congruency of triangles ?
SSS axiom states that if two triangles have three pairs of congruent sides, then the triangles are congruent.
As per the question ;
XY ║ WZ and XW ║ YZ
So , using this data we can conclude that ;
XY = XW and WZ = YZ
The two triangles are ΔXWZ and ΔZYX
So ,
XY = XW (from given data)
and
WZ = YZ (from given data)
and
XZ = XZ (common)
∴ Both triangles are congruent to each other ;
i.e.,
ΔXWZ ≅ ΔZYX
by using the SSS axiom.
Thus , the ΔXWZ is congruent to ΔZYX i.e., ΔXWZ ≅ ΔZYX
To learn more about congruency rules click here ;
https://brainly.com/question/25167061
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