Question

1. Two triangles have the following pairs of congruent sides: BD = FJ, DG = JM, and

GB MF. Write the congruence statement for the two triangles.
ABDF = AJDG
ABDG AFJM
ABDG E AJFM
ABGD = AFUM

Answer 1

BDG≅FJM

Explanation:

we know that

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

so

In this problem we have that

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

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

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

∠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