im not that good at geometry i need some one to check this for me
XY bisects AB at point g which of the following is true about point g
a. g is the mid point of AB
b. g is the mid point of XY
c. g is the mid point of AB and XY
d. none of these*
is what i picked
bisects means divides into two equal parts. So (a) is the answer.
To see this, draw AB and mark g. If you draw a line through g, you can pick any two points X and Y on opposite sides of AB. They do not need to be the same distance away from g. That is, g need not be the midpoint of XY.
To determine the answer, you need to understand the concept of a bisector and what it means for a line to bisect another line.
A bisector is a line or line segment that divides another line into two equal parts. In this case, we are told that XY bisects AB at point G. So the line XY divides the line AB into two equal parts.
Now, let's analyze the options:
a. G is the midpoint of AB: This option suggests that point G is the middle point of line segment AB. However, we are only given that XY bisects AB at G, so we cannot conclude that G is the midpoint of AB. Therefore, option a is not necessarily true.
b. G is the midpoint of XY: This option suggests that G is the middle point of line segment XY. However, we are not given any information about XY being divided by G, so we cannot conclude that G is the midpoint of XY. Therefore, option b is not necessarily true.
c. G is the midpoint of AB and XY: This option states that G is both the midpoint of line segment AB and XY. Since XY bisects AB at G, this option aligns with the definition of a bisector. Therefore, option c is true.
d. None of these: This option suggests that none of the given options are true. However, based on our analysis, option c is true. Therefore, option d is not the correct answer.
In summary, the answer is:
c. g is the midpoint of AB and XY