Question

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and pls answer it properly
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POINTS ON A FIGURE. Write CL if the following points on the figure are collinear, CP if coplanar
and N if neither on the blank.
1. points J. U
4. points O, U, J
5. points L. Y O
2. points L, J
3. points F U. L

LINES ON A FIGURE. Use the figure below to identify the following lines.
1. TK and AK
a intersecting
2. AL and TO
b. perpendicular
3. 0E and OT
c. paralle
4. LE, LB and Lo
d. skew
5. AT and LE
e. concurrent

FIGURE ILLUSTRATION, Draw the following and label them accordingly
1. points Y E. S are collinear
2. MA L TH
3. q ll p ll r



Answer 1

Explanation:

sorry, I cannot draw here.

anyway, "collinear" simply means the points are on the same line. "coplanar" simply means they are on the same plane (a 2-dimensional area in the 3-dimensional space).

J, U : CL (they are on the same line, clearly visible)

L, J : N (J is above the drawn plane of L)

F, U. L : CP (all 3 are on the same plane)

O, U, J : N (they are not on anything together)

L, Y, O : CP (all 3 on the same plane, L is a corner point where 2 planes meet and is therefore actually on both planes).

but FYI - 2 points are always defining a line, and 3 points are always defining a plane, even if the line or plane is not drawn in the graphics.

so, if we want to take it really fully literally, then L, J is still CL, and O, U, J is CP. just not for any line or plane drawn in the graphic. their, I don't think your teacher wants to understand it that way (which is why I answered as I answered), but formally that's what it should be ...

TK and AK are intersecting (at the joined point K).

AL and TO are parallel.

OE and OT are perpendicular (cross each other at a right angle = 90°).

LE, LB, LO are concurrent (they all intersect in one point : L).

AT and LE are skew lines (they do not intersect each other, and they are not parallel, so, they simply go "wildly criss-cross" through space relative to reach other).

for the illustration :

Y E S

draw a line, make 3 dots on the line and mark the dots Y, E and S. and they are automatically collinear. it's that easy.

MA TH

the symbol between means "right-angled".

so, draw 2 lines that are right-angled to each other (remember, 90°). make 2 dots on each line. mark the dots M and A on one line, and T and H on the other line.

mark the angle between the lines with the little square as in the graphic above to indicate the 90°.

q p r

the symbols between mean "parallel".

so, simply draw 3 parallel lines and mark them q, p and r.

make a little cross mark like " on each of them (that indicates they are parallel).