Write a two-column proof.
given: quadrilateral gkjh is a parallelogram
prove: △glh ≅ △jlk

See explanation

Step-by-step explanation:

       Statement                                          Reason

1. GKJH is a parallelogram          -               Given

2. GH║KJ                 -                   Definition of the parallelogram

3. ∠HGL and ∠KJL are alternate interior angles -  Definition of alternate interior angles

4. ∠HGL≅∠KJL           -             Alternate interior angles theorem

5. GH≅KJ                    -                   Property of parallelogram

6. ∠GLH and ∠JLK are vertical angles      -       Definition of vertical angles

7. ∠GLH≅∠JLK              -                   Vertical angles thoerem

8.  ΔGLH≅ΔJLK             -                           AAS postulate                  

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.