Geometry Question Help (1 Viewer)

[sannous1]

Hey can someone help me with these questions, im not sure if my answers are correct.

 

[lolokay]

i) by corresponding angles being equal,
ii) ADE is similar to ABC (AAA). AB = AC hence AD = AE. AB = AD + DB = AC = AE + EC; so DB = EC
iii) BC is common, DB = BC, angles DBC and ECB are equal, therefore congruent by SAS

 

[sannous1]

hey thanku, see for (ii), do i have to give reasons ? my teacher said yes

 

[tommykins]

hey thanku, see for (ii), do i have to give reasons ? my teacher said yes

For proof questions, every statement you do MUST have a reason, do NOT assume anything.

If there are two vertically opposite angles, you MUST state that.

 

[sannous1]

i) by corresponding angles being equal,
ii) ADE is similar to ABC (AAA). AB = AC hence AD = AE. AB = AD + DB = AC = AE + EC; so DB = EC
iii) BC is common, DB = BC, angles DBC and ECB are equal, therefore congruent by SAS

so for (ii) i rote
In Triangle DBE and Triangle DEC
AB=AC (given)
AD=AE ( Proved from (i))
AB= AD+DB
AC= AE +EC
Therefore DB= EC

is this correct?,

or do i say in triangle ADE and triangle ABC in the beginning ?

PLEASE its a mini assignment thanks u guys

 

[tommykins]

so for (ii) i rote
In Triangle DBE and Triangle DEC
AB=AC (given)
AD=AE (sides of isos triangle equal proven in i))
AB= AD+DB
AC= AE +EC
Therefore DB= EC

is this correct?,

or do i say in triangle ADE and triangle ABC in the beginning ?

PLEASE its a mini assignment thanks u guys

Only fixed one small bit, but it all seems good.

 

[sannous1]

Only fixed one small bit, but it all seems good.

hey thanks