Question

.9 In ∆ABC, the bisector AD of ∠A is perpendicular to side BC.
(i) By which criterion , ΔADB is congruent to ΔADC .
(a) ASA (b) SAS (c) SSS (d) None of these



(ii) Among which of the following , by cpct , we can conclude :
BD = DC (b) AB = AC (c) Angle B = Angle C (d) All of these​

Answer 1

Answer:

(i) (a) ASA and (ii) (d)  All of these

Step-by-step explanation:

In ΔADB and ΔADC

∠BAD=∠CAD (Given that D is a perpendicular bisector of ∠A)

AD=AD (Common)

∠ADB =∠ADC =90° (Given)

ΔADB ≅ ΔADC (by ASA criteria)

therefore by cpct:

BD = DC

AB = AC

∠B = ∠C ​