Question

Which of the following is not ALWAYS true about perpendicular line segments?
Select one:
a. One line is an angle bisector of the other
b. They create two pairs of vertical angles
c. One line is a perpendicular bisector of the other
d. Their intersection point creates a right angle

Answer 1

Do you know what perpendicular means?

Answer 2

@harleegant666

Answer 3

Yes

Answer 4

So which can you eliminate?

Answer 5

This is a terribly worded problem.
Did you copy it exactly as it was written?

Answer 6

mathstudent55 Yes does that bother you?

Answer 7

B defintly

Answer 8

B definetly iYuko

Answer 9

It bothers me because the way it is written, I don't think there is an correct answer.

Answer 10

oh ok well i apologize mathstudent55

Answer 11

and there has to be mathstudent55

Answer 12

Don't apologize. If you didn't write the problem, you are not responsible for its wording.

Answer 13

thank you mathstudent55

Answer 14

@harleegant666
What math course is this?

Answer 15

It is geometry

Answer 16

@mathstudent55
You may be more qualified, but keep in mind that she is in High School. She only knows what she has been taught.

Answer 17

Maybe it is up to how you interpret "not ALWAYS true."
I thought by "not always true" it means sometimes true, and sometimes not true.
Now I see that not always true can also be interpreted as never true.

Answer 18

yes its never true

Answer 19

\(\color{#0cbb34}{\text{Originally Posted by}}\) @iYuko
@mathstudent55
You may be more qualified, but keep in mind that she is in High School. She only knows what she has been taught.
\(\color{#0cbb34}{\text{End of Quote}}\)
Respectively

Answer 20

@iYuko Good point. Thanks.
Nonetheless, math has precise wording.
Some of the wording here is very iffy.

Answer 21

yeah i get that but i still need an answer im confused because i see what u see too but its just confusing so i needed an answer and this is my first time using this site so...

Answer 22

are yall there?

Answer 23

Ok.
The task at hand is to help you.
You are correct in dismissing choice B.
Choice B is always true.

Answer 24

What about d?

Answer 25

Is D always true, sometimes true, never true?

Answer 26

always true

Answer 27

always true mathstudent55

Answer 28

its a

Answer 29

You are correct with D.
You can eliminate D.

In A, it states one line is an angle bisector of the other.
That means a line is an angle bisector of another line.
That makes no sense.
An angle bisector must bisect an angle.
There is no such concept of a bisector of a line, and even less of an angle bisector of a line.
That makes A always false.

Answer 30

That leaves C.
A line can bisect a line segment, but it cannot bisect a line.
There is no concept of bisecting a line since a line has infinite length.
If choice C means in this case, one line segment bisects the other line segment, then this is the correct choice.
When two line segments are perpendicular, they may bisect each other or not, and one may bisect the other or not. That makes it not always true.
Perhaps this is the correct choice, but due to the poor wording, it is hard to tell.
Did you forget the word "segment" in choice C by any chance?

Answer 31

Their intersection point creates a right angle

Answer 32

An intersection point does not create an angle.
An angle is the set of points contained in two rays that have a common endpoint.
Even if you accept the wording that the intersection point of two perpendicular segments creates a right angle, then that happens always, not just sometimes. Remember that this problem is looking for something that is not always true.