1. ## Space

“Three distinct points in space always determine exactly on unique_______.”
Of the following words, write in the answer box the ones that, when placed in the blank in the statement above, would make the statement true: line, circle, square, triangle, plane.”

Is the answer a triangle because it says a three distinct points in space. I know that it can't be a circle because it doesn't make a circle, square is not the answer because, it needs four distinct points, and I don't know for sure what is a plane. Line can be a straight line and a crooked line, right?

2. ## Re: Space

A triangle is part of the correct answer. Now, when you draw a triangle on a paper, What do you call the surface of a paper? Can this help?

3. ## Re: Space

Ummmm. Surface Area??? I don't think it is "plane" because it is two dimensional surface!!

4. ## Re: Space

Ummmm. Surface Area??? I don't think it is "plane" because it is two dimensional surface!!
Yes my dear, it is a plane. that's the answer. A plane is a two-dimensional space, we call it surface of an object, like the surface of the board, the surgace of a mirror, the all, the doors, all of these surfaces are two-dimensional planes.

5. ## Re: Space

“Three distinct points in space always determine exactly on unique_______.”
Of the following words, write in the answer box the ones that, when placed in the blank in the statement above, would make the statement true: line, circle, square, triangle, plane.”
Look at the word always. That word means that none of the options is correct.

If the points are noncollinear the either plane or triangle is correct.

However if the points are collinear then the only correct answer is line

It is a poorly written statement.

6. ## Re: Space

Originally Posted by Plato
Look at the word always. That word means that none of the options is correct.

If the points are noncollinear the either plane or triangle is correct.

However if the points are collinear then the only correct answer is line

It is a poorly written statement.
I agree with you, it is a poorly written statement. You will find worse at 7th - 8th grades books. In the context of what those books teach, distinct points ar not collinear. I examined one book at that level, the word collinear is not anywhere in the book.

7. ## Re: Space

Originally Posted by Plato
Look at the word always. That word means that none of the options is correct.

If the points are noncollinear the either plane or triangle is correct.

However if the points are collinear then the only correct answer is line

It is a poorly written statement.
I currently have two different answers. Is it a line or a plane?? It's making me confused.