Astudent wants to prove that the diagonals of a parallelogram bisect each other. the student provides the diagram and proof below.

given: parallelogram ghjk with diagonals gj and hk intersecting at l
prove: gl≅jl and hl≅kl

the student's proof is flawed. which of the following statements explains why the proof is flawed?

a
angles ghl and jkl are corresponding angles, not alternate interior angles.

b
angles jlk and glh are alternate interior angles, not vertical angles.

c
aaa is not an accepted triangle congruence criterion.

d
gl corresponds to kl, not to jl, and hl corresponds to jl, not to kl.

  C  AAA is not an accepted triangle congruence criterion

Step-by-step explanation:

AAA can be used to show similarity, but not congruence. At least one side must be involved in any triangle congruence claim.

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The student could have made use of the fact that opposite sides are the same length, and used AAS or ASA to show congruence.

Step-by-step explanation:

The proof is flawed because Angle-Angle-Angle is not an actual congruence rule, because this doesn't necessarily implies a congruence, it could also imply a similarity.

So, using the congruence between all three angles to demonstrate the congruence of two triangles is not right, because they could be similar and not congruent. The best way is to support the demonstration with postulate that involves congruence  between sides, that way, they won't be room to flaws in the demonstration, because congruent sides imply congruent triangles.

Therefore, the right answer is C.

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9

unless you made a typo, the answers are both a and c.

step-by-step explanation:

1.5/3 is .5 whereas 3/9 is .3333333 not proportional

22/33 is .66666 and 4/6 is also .66666 proportional

2/4 is .5 whereas 142/213 is .66666 not proportional

14/7 is 2 and 7/3.5 is also 2 proportional

you could've also checked it by doing this simple division:

if the larger fraction divides with the smaller fraction to equal 1, it is proportional. so let me show you what i mean:

when i divide 22/33 by 4/6 i get 1, so we know it is proportional, and it is the same with 14/7 and 7/3.5. now if i divide 3/9 by 1.5/3 i get .66666 so therefore we know it is not proportional.

there are many ways to do this so i wanted to show you some possible ways.