Question

in the diagram, ad is the perpendicular bisector of eb. what additional information is needed to prove △abc≅△dec by hl? enter your answers in the boxes. side ≅ side

Explanation:

Step1: Identify right triangles

AD ⊥ EB ⇒ ∠ACB=∠DCE=90°, so △ABC and △DEC are right triangles.

Step2: Check existing congruent leg

AD bisects EB ⇒ EC=CB (bisector property), so one leg EC≅CB.

Step3: Determine needed hypotenuse

HL requires hypotenuse congruence. Hypotenuses: AB (△ABC), DE (△DEC). Thus, need AB≅DE.

Answer:

AB ≅ DE