Question

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

Answer 1

ΔBDE ≅ΔBFK by rule ASA

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