Question

two triangles have the following pairs of congruent sides bd = fj, dg = jm and gb = mf write the congruence statement for the two triangles.

Answer 1

BDG≅FJM

Explanation:

The options of the question in the attached figure

we know that

If two triangles are congruent, then their corresponding angles and corresponding sides are congruent

so

If

BD≅FJ ----> BD and FJ are corresponding sides

DG≅JM ---> DG and JM are corresponding sides

GB≅MF ---> GB and MF are corresponding sides

then

∠B≅∠F ----> ∠B and ∠F are corresponding angles

∠D≅∠J ---> ∠D and ∠J are corresponding angles

∠G≅∠M ---> ∠G and ∠M are corresponding angles

therefore

BDG≅FJM