Question

plz help me with this to earn 20 points

Answer 1

Answer:

as all the sides are equal

Step-by-step explanation:

question is for 12 points....

Answer 2

Step-by-step explanation:

given: in the triangle ABC ; AB = BC and AD = DC

TPT : ∠ADE=90 and AE=EC

proof:

in the triangle ADB and CDB;

AB = BC (given)

AD = CD (given)

and BD is common.

therefore by SSS congruency ; △ADB≅△CDB

therefore by CPCT congruency property;

∠ABD=∠CBD ............(1)and ∠ADB=∠CDB=1802=90

∠ADE=∠CDB [vertically opposite angles]∠ADE=90 deg

now in the triangles ABE and CBE;

AB=BC [given]∠ABE=∠CBE [from eq(1)]BE is common.therefore by SAS congruency△ABE≅△CBE

and by cpct, AE = EC.