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Mathematics 19 Online
OpenStudy (daisy.xoxo619):

Given:

OpenStudy (daisy.xoxo619):

|dw:1404450504584:dw|

OpenStudy (daisy.xoxo619):

WRITE 2 COLUMN PROOF

OpenStudy (anonymous):

first u need to sjow that triangle JHD and triangle FHE are congruen

OpenStudy (daisy.xoxo619):

would it be vertical angles are cong.?

OpenStudy (anonymous):

would it be vertical angles are cong.? yes

OpenStudy (daisy.xoxo619):

so far my steps are: 1) <J CONG <F 1) GIVEN 2) JH CONG FH 2) GIVEN 3) ANGLE 1 CONG ANGLE 2 3) VERTICAL <S ARE CONG

OpenStudy (anonymous):

In triangle JHD and triangle FHE <J = <F (given) JH = FH (given) <1 =<2 (vertically opposite angles are equal) hence triangle JHD and triangle FHE are congruent

OpenStudy (anonymous):

yup

OpenStudy (anonymous):

so HD =HE (correponding parts of congruent triangles) hence HDE IS ISOSCELES

OpenStudy (daisy.xoxo619):

4) TRIANGLE JHD CONG TRIANGLE FHE 4) ASA 5) HD CONG HE 5) CPCTC 6)? since an isosceles triangle has two cong sides i know DH and HE is cong but which other side is also cong?

OpenStudy (anonymous):

its good you have learnt to point out congruency of triangles

OpenStudy (daisy.xoxo619):

I FIGURED IT OUT , SO HOW WOULD I PROVE A TRIANGLE IS ISOSCELES IN THE REASON COLUMN?

OpenStudy (anonymous):

for isosceles triangle u need only two sides so here u have DH and HE

OpenStudy (anonymous):

reason----> (two sides eaual)

OpenStudy (daisy.xoxo619):

ok I got it :) thanks once again.

OpenStudy (anonymous):

yw

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