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Mathematics 67 Online
OpenStudy (devonhoward15):

@563blackghost

OpenStudy (devonhoward15):

@StudyGurl14

OpenStudy (devonhoward15):

@dumbcow

OpenStudy (welshfella):

What do you think about question (a). What do we know for definite about the 2 triangles?

OpenStudy (devonhoward15):

there equal

OpenStudy (welshfella):

when we talk about 2 triangles being exactly alike we call them congruent. to prove congruency we need to prove they conform to one of the postulates - for example SAS means that 2 sides and the included angle are equal - if this is true then theyt are congruent. The question is - Which side and angles of triangles ABD and CBD are equal?

OpenStudy (welshfella):

WE are given that side AB = BC and side BD is common to both triangles. Although the triangles in the drawing might look congruent they may not be. We must not make assumptions.

OpenStudy (devonhoward15):

AD and CD are congruent and AB and CB

OpenStudy (welshfella):

(b) tells us that but (a) syas its congruent by SAS - meaning that <ABD = <CBD but we are not given that.

OpenStudy (devonhoward15):

I believe that ABD= CBD by the SAS postulate

OpenStudy (welshfella):

So jeremy's answer is incorrect.

OpenStudy (devonhoward15):

im terrible at math sorry

OpenStudy (welshfella):

Do you follow what I mean? We cant say that the 2 triangles are congruent by the SAS postulate becuase we don't know that <ABD = <CBD

OpenStudy (devonhoward15):

Yes i see... since it doesnt tell us that they are congruent than we cant say that they are congruent

OpenStudy (devonhoward15):

Correct?

OpenStudy (welshfella):

yes

OpenStudy (devonhoward15):

and i write that for my explanation?

OpenStudy (welshfella):

yes

OpenStudy (devonhoward15):

Ok done with part a

OpenStudy (welshfella):

for (b) we know that AD = CD and BD is common and AB = CB so they are congruent by which postulate?

OpenStudy (devonhoward15):

SAS congruent postulate?

OpenStudy (welshfella):

they are congruent by SAS because the line BD is perpendicular to AC as AD = CD but i think thet are looking for another postulate here Note that the 3 sides are all congruent.

OpenStudy (devonhoward15):

what are the other ones?

OpenStudy (welshfella):

the other what?

OpenStudy (welshfella):

the other postulates?

OpenStudy (devonhoward15):

is it ASA congruence postulate?

OpenStudy (welshfella):

why are you introducing angles? Look at my post regarding which sides are equal.

OpenStudy (welshfella):

look back 4 posts

OpenStudy (devonhoward15):

SSS congruence postulate

OpenStudy (welshfella):

Right!! - 3 equal sides.

OpenStudy (devonhoward15):

and for justifying i write because all 3 sides are equal?

OpenStudy (welshfella):

yes

OpenStudy (welshfella):

also state the 3 sides in your answer.

OpenStudy (welshfella):

- state which sides are equal.

OpenStudy (devonhoward15):

Thanks very much... i have another question could you help

OpenStudy (welshfella):

sorry I have to go right now.

OpenStudy (devonhoward15):

ohh alright... ill find another person

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