What are the steps in order to prove that these triangles are congruent?

You can prove that these triangles are congruent by SSS axiom.

Step-by-step explanation:

The co-ordinates of points of triangle ABC are: A(-3,4), B(-4,1), C(0,3).Measure the length of every side of triangle ABC and DEF by using distance formula i.e. AB, BC, AC, DF, DE and EF.The co-ordinates of points of triangle DEF are: D(0,2), E(3,1), F(2,-2).By calculating the distance you can see that, BC=DF, AB=DE=AC=EF.Hence all three sides are equal that means the triangles are congruent by the SSS (side-side-side) axiom.

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