pooja195
  • pooja195
Can someone help me out with #25 im not sure about this one because they dont share any common points... http://prntscr.com/8attdu @zepdrix :)
Mathematics
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pooja195
  • pooja195
Can someone help me out with #25 im not sure about this one because they dont share any common points... http://prntscr.com/8attdu @zepdrix :)
Mathematics
katieb
  • katieb
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Hero
  • Hero
Maybe not any common points, but do planes PQR and UVS share any common lines or segments?
pooja195
  • pooja195
No they dont.
zzr0ck3r
  • zzr0ck3r
look at the square that contains PQR not just those 3 points.

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zzr0ck3r
  • zzr0ck3r
same with UVS
pooja195
  • pooja195
I take that back... U and Q are lines right?
pooja195
  • pooja195
*a line
zzr0ck3r
  • zzr0ck3r
PQR = PQRS QUV=QUVS
zzr0ck3r
  • zzr0ck3r
what do they have in common?
pooja195
  • pooja195
S
zzr0ck3r
  • zzr0ck3r
and?
mathstudent55
  • mathstudent55
@pooja195 Keep in mind that just like a line is infinite in both directions, a plane is an infinite flat surface. Plane UVS is being called plane UVS to show you that these three points are in the plane. The plane extends up and down and right and left infinitely.
pooja195
  • pooja195
Q
mathstudent55
  • mathstudent55
Every point on the front surface of the prism is part of plane UVS.
mathstudent55
  • mathstudent55
The same goes for plane PQR. Every point on the right face of the prism is part of plane PQR.
mathstudent55
  • mathstudent55
In addition, when planes do intersect, their intersection is a line.
zzr0ck3r
  • zzr0ck3r
right they share QS in common
mathstudent55
  • mathstudent55
|dw:1440988520418:dw|
mathstudent55
  • mathstudent55
The figure shows intersecting planes ABC and BCD. There are arrows showing that the planes extend forever. Planes are infinitely sized flat surfaces. they have infinite length and infinite width and no height. The intersection of the planes is line BC.
pooja195
  • pooja195
ah ok this makes a bit more sense thanks :) and i apperciate the time taken to do the drawing it helps me understand better thanks ^_^ and wow learned something new....never knew planes were infinte.... :/
mathstudent55
  • mathstudent55
A plane is a 2-dimensional equivalent of a line, so to speak. Just like a line is infinite in length, a plane is infinite in length and width. When we draw a quadrilateral to represent a plane, we are just drawing a part of the plane; the same way that a segment with arrow heads represents a line of infinite length. With planes, it's not customary to draw arrowheads to show the plane is infinite, though.
mathstudent55
  • mathstudent55
You're very welcome.

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