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 :)

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- pooja195

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- Hero

Maybe not any common points, but do planes PQR and UVS share any common lines or segments?

- pooja195

No they dont.

- zzr0ck3r

look at the square that contains PQR not just those 3 points.

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## More answers

- zzr0ck3r

same with UVS

- pooja195

I take that back... U and Q are lines right?

- pooja195

*a line

- zzr0ck3r

PQR = PQRS
QUV=QUVS

- zzr0ck3r

what do they have in common?

- pooja195

S

- zzr0ck3r

and?

- 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

Q

- mathstudent55

Every point on the front surface of the prism is part of plane UVS.

- mathstudent55

The same goes for plane PQR. Every point on the right face of the prism is part of plane PQR.

- mathstudent55

In addition, when planes do intersect, their intersection is a line.

- zzr0ck3r

right they share QS in common

- mathstudent55

|dw:1440988520418:dw|

- 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

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

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

You're very welcome.

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