Answer:
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.
