Question

By what rule are they congruent? (Make a chart)

Answer 1

Answer:

ΔBDE ≅ΔBFK by rule ASA

Step-by-step explanation:

Given $BD$≅$BF$

$DE$⊥$BC$ and  $FK$⊥$AB$

So, ∠$BDE=$∠$KFB=90$°

We can see in Δ$BDE$ and Δ$BFK$

∠$DBE=$∠$KBF$ included angle

∠$BDE=$∠$KFB=90$° (Given)

Also, $BD$≅$BF$ (Given)

From ASA

We can see two angles and one included side are same as corresponding triangle then,

ΔBDE ≅ΔBFK by rule ASA