Question

Name a tangent in circle O.

A. line segment CE
B. line GD
C. line AB
D. line segment BO

Answer 1

i was thinking either A or D .

Answer 2

Are there any lines where it only touches the circle at EXACTLY ONE point ?

Answer 3

i'd have to say A. CE because it is touching the circle at exactly one point .

Answer 4

look again, points C and E are on the circle

Answer 5

so that leaves me with BO .

Answer 6

you need to find a line where it is

a) outside of the circle

b) only one point on this line is touching the circle

Answer 7

BO is a radius

so yes it's touching the circle at one point...BUT...if you extend BO infinitely in both directions, it will touch the circle twice

Answer 8

hm , true ! that will only leave me with two options now !

Answer 9

yes, so you at least know those two choices (A and D) are out

Answer 10

ok , well looking at AB , considering that the question says "Name a tangent in Circle O" , it seems to me that AB isn't IN circle o at all , but looking at GD it is in circle o .

Answer 11

GD is in the circle, so it's a chord (which means it can't be a tangent)

so AB has to be the tangent (and it turns out that it definitely is a tangent since it touches the circle at point B only)

Answer 12

OH ! i see now !! awesome , i can definitely see that now !

Answer 13

thank you by the way (:

Answer 14

the general rule is this

if you have a line and a circle, then either

a) this line a chord

b) this line is a tangent

c) the line doesn't intersect/touch or isn't in the circle at all

Only one option at a time applies (ie you can't have option a) and b) happening at the same time)

Answer 15

you're welcome