Question

Could I please get help with my last statements reasoning? I have tried multiple reasons but still could not get the reasoning right

Answer 1

You have the next:

Side AB is congruent with side CD

Side AC is congruent with side AC

Angle BAC is congruent with angle DCA

SAS congruence of triangles: If any two sides and included angle (angle between those sides) of one triangle are equal to corresponding two sides and included angle of second triangle, then the two triangles are condruent by SAS rule

Angle BAC is the included angle of sides AB and AC in triangle ABC

Angle DCA is the included angle of sides CD and AC in triangle CDA

Then,

$\Delta ABC\cong\Delta CDA$Reason: SAS rule