Determine whether each statement is true or false. If false, expl...

Question

Determine whether each statement is true or false. If false, explain why.
The midpoint of the segment joining (0, 0) and (4, 4) is 2.

Accepted Answer

Hello everyone. We are going to decide if the statement, the midpoint of the line segment formed by joining the zero and 1313 is 13/2 if that's a true statement or if it's false and if it's false we're going to give a reason. First thing I want to do is I'm gonna find out what the actual midpoint of that is. I recall that I find the midpoint of two points by first adding the X. Values together of the two points to find the new X. Value and then I add the Y values together to find the new Y value. So if I label 00 as X sub one, Y sub one and 13 13 as X up to Y sub two and plug them into my formula. I get zero plus 13/ and zero plus 13/2. Both of those end up at 13/2 and 13/2. So this means our midpoint would be the and the point 13 over to 13/2. Now looking at our original statement, they said that the midpoint is 13 over too. Well since the mid point has to be an X. And Y value, it's false. But now we need to look at the reason. Um as we just found our midpoint, it looks like answer choice B is going to be our best answer it's false because the midpoint is actually 13 halves, 13 halves or 13/2 and 13/2. So answer choice B is our solution have a nice day

Determine whether each statement is true or false. If false, explain why. The midpoint of the segment joining (0, 0) and (4, 4) is 2.

Key Concepts

Midpoint Formula

Coordinates of Points

True or False Statements

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