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@jim_thompson5910 can u pleasse help me with a few questions?
8+x=L L+x=26 substitute (8+x)+x=26 x is the same for both expressions because the points are equally spaced solve for x, then solve for L
the points are evenly spaced, so L is the same distance away from both points B and E
So L is the midpoint of BE
do you see this?
so we can say (B+E)/2 = L or basically take the value of B, add it to E, then divide by 2 to get L
what does that give you?
can we do number 4 please?
what is the distance from point T to point E
good, now what's 2/3 of 15?
so the distance from point T to point P is 10 units (since P is 2/3 of the way from T to E)
So just add 10 to the value of T to get your answer
thanks, im going to post more, maybe u can help me?
alright go for it
tell me what you get for each
1) true 2) True 3) true 4) true 5) False
did you mean #5 through #9?
and not #1 through #5
how did you get #3 to be true?
cause the line goes through the AM
does it? take a very close look at it
try to rotate it in your mind
better yet, get a piece of paper, label it and try it out
ohhhhhh i see its like putting a pencil through a peice of paper
exactly, so do they intersect?
are the rest correct?
why is the last one false?
idk, i wanted to put true, but something was teling me to put false
do E, D and C all lie on the same line?
so they are collinear by the very definition of collinear
points are collinear if they all lie on the same straight line
Example of non-collinear points |dw:1343852731003:dw|
Notice how there is no way to draw a straight line through all of the points, so those points are noncollinear
again tell me what you get
for #12 right?
yes, P is coplanar with T, R and Q
they all lie in the same plane (the back face)
no, what do the back face and the bottom face have in common (where do they intersect)?
you got it
that bottom edge in the back is what they have in common
#14 how many faces does the figure have?
think of a house
how many walls does it have?
its the sides u can see right?
and the sides that are hidden (because they are in the back)
think of it rotating
4 walls, good
how many parts to the roof?
6 flat parts to the roof? or 6 total so far?
ok, then count in the floor
there are 7 faces total
so there are 7 planes
with any geometric solid, a "face" is also a plane
number 15 is i ?
points D, J and A all lie on the left wall (that's behind the front and right walls...so it's hidden from view)
what also lies on that left wall?
i and f don't because they lie on the left rooftop
yes, the answer to #15 is g
now for number 16 im confused
draw a line from D to J
which face does this line lie in?
another way to name JADG is JAD since 3 points are enough to make a plane
is 17 plane JIG?
i mean JGF
yes, JIG is the same plane as JGF and they both work
but JGF is the only listed answer, so it's JGF
number 18 "No answer is correct."?
there is no face that has the line
non-coplanar ( number 19)
are you sure? look again (very closely)
do they all lie on the same line?
good, so #19 is non-collinear
yes, very good
not all of those 3 points lie in the same plane/face
21 - non-coplanar?
good, from 20, A, B and G are noncoplanar, so throwing in another point (whatever that new point may be) will not change this
22 - They don’t intersect.
23 - collinear
do they all lie on the same line?
so they do NOT lie in the same plane?
are you sure?
yes they do, coplanar
yes you are correct
they all lie on the same line?
so not colllinear
AWESOME , THANK YOU SO MUCH FOR TAKING TIME TO HELP ME OUT
you're very welcome