# POINTS LINES AND PLANES WORKSHEETS

## About "Points lines and planes worksheets"

Points lines and planes worksheets :

Worksheet given in this section is much useful to the students who would like to practice problems on points lines and planes.

## Points lines and planes worksheets - Problems

Problem 1 :

Look at the figure given below and answer the questions.

(i) Name three points that are collinear.

(ii) name four points that are coplanar.

(iii) Name three points that are not collinear.

Problem 2 :

Draw three non collinear points, J, K and L. Then draw the lines JK, KL and LJ.

Problem 3 :

Draw two lines, label points on the lines and name two pairs of opposite rays.

Problem 4 :

Sketch the figure described.

"A line that intersects a plane in one point"

Problem 5 :

Sketch the figure described.

"Two planes that intersect in a line"

## Points lines and planes worksheets - Solution

Problem 1 :

Look at the figure given below and answer the questions.

(i) Name three points that are collinear.

(ii) name four points that are coplanar.

(iii) Name three points that are not collinear.

Solution :

Solution (i) :

Points D, E and F lie on the same line. So they are collinear.

Solution (ii) :

Points D, E, F and G lie on the same plane. So they are coplanar. D, E, F and H are coplanar, even though the plane containing them is not drawn.

Solution (iii) :

There are many correct answers. For instance, points H, E and G do not lie on the same line.

Problem 2 :

Draw three non collinear points, J, K and L. Then draw the lines JK, KL and LJ.

Solution :

Step 1 :

Draw the points J, K and L as given below.

Step 2 :

Draw the line JK by connecting the points J and K as given below.

Step 3 :

Draw the line KL by connecting the points K and L as given below.

Step 4 :

Draw the line LJ by connecting the points L and J as given below.

Problem 3 :

Draw two lines, label points on the lines and name two pairs of opposite rays.

Solution :

Points M, N and X are collinear and X is between M and N.

So, XM and XN are opposite rays.

Points P, Q and X are collinear and X is between P and Q.

So, XP and XQ are opposite rays.

Problem 4 :

Sketch the figure described.

"A line that intersects a plane in one point"

Solution :

(i) Draw a plane and a line.

(ii) Mark the point where they meet.

Dashes indicate where the line is hidden by the plane.

Problem 5 :

Sketch the figure described.

"Two planes that intersect in a line"

Solution :

(i) Draw two planes.

(ii) Mark the line where they meet.

Dashes indicate where one plane is hidden by the other plane.

After having gone through the stuff given above, we hope that the students would have understood "Points lines and planes worksheets".

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