**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.

**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"

**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".

Apart from the stuff given above, if you want to know more about "Points lines and planes", please click here

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**