Question

Given:
12 years ago

Answer 1

WRITE 2 COLUMN PROOF

Answer 2

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

Answer 3

would it be vertical angles are cong.?

Answer 4

would it be vertical angles are cong.? yes

Answer 5

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

Answer 6

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

Answer 7

yup

Answer 8

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

Answer 9

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?

Answer 10

its good you have learnt to point out congruency of triangles

Answer 11

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

Answer 12

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

Answer 13

reason----> (two sides eaual)

Answer 14

ok I got it :) thanks once again.

Answer 15

yw