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Sagot :

we have that

If GC bsect each other

then

AH=HD

and

If AD bisect each other

then

GH=HC

so

m by vertical angles

therefore

triangle GHA is congruent with triangle CHD by SAS theorem

1 AD and GC bisect each other--------> given

2. AH=HD ------> by GC bisect each other

3. GH=HC -----> by ASD bisect each other

4. m by vertical angles

5. riangle GHA is congruent with triangle CHD ------> by SAS theorem congruence