Question

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

Answer 1

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

Explanation:

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