Which is a counterexample for the conditional statement shown? if three distinct points lie in a plane, then the points can form a triangle. the points form a different polygon. the points form a circle. the points form an open figure. the points form a line.

  The points form a line

Step-by-step explanation:

Three points on a line will form a triangle with zero area. Many authors exclude such a triangle from the definition of a triangle. Hence your counterexample will be three points on the same line.

Comments on the definition of a triangle

Where a, b, c are the side lengths, ...

If your version of the triangle inequality is ...

then three collinear points will not form a triangle.

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If your version of the triangle inequality is ...

then three collinear points will form a triangle.

Comment on the problem statement

Three distinct points will always lie in a plane. If they are not collinear, they define a unique plane. Since the condition is always true, the problem amounts to finding a counterexample for the conclusion. As we see in the discussion above, whether you can do that or not depends on how you define a triangle.

Using the second definition of a triangle, no counterexample exists: three points always define a triangle.

the most boring ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.