"90 degree clockwise rotation" is the stuff which is required to the students who study math in the grade level 6.

When we rotate a figure of 90 degrees clockwise, each point of the given figure has to be changed from (x,y) to (y,-x) and graph the rotated figure.

To have better understanding on "90 degree clockwise rotation", let us look at some practice problems.

**Problem 1 : **

Let K (-4, -4), L (0, -4), M (0, -2) and N(-4, -2) be the vertices of a rectangle. If this rectangle is rotated 90° clockwise, find the vertices of the rotated figure and graph.

**Solution : **

**Step 1 :**

Here triangle is rotated 90° clockwise. So the rule that we have to apply here is (x , y) -------> (y , -x)

**Step 2 :**

Based on the rule given in step 1, we have to find the vertices of the rotated figure

**Step 3 :**

**(x , y) ----------> (y , -x)**

K ( -4 , -4 ) ------------ K' ( -4 , 4 )

L ( 0 , -4 ) ------------ L' ( -4 , 0 )

M ( 0 , -2 ) ------------ M' ( -2 , 0 )

N ( -4 , -2 ) ------------ N' ( -2 , 4 )

**Step 4 :**

Vertices of the rotated figure are

** K' (-4, 4) , L' (-4, 0), M' (-2, 0) and N' (-2, 4) **

**GRAPH**

Let us look at the next problem on "90 degree clockwise rotation"

**Problem 2 : **

Let R (-3, 5), S (-3, 1), T (0, 1), U (0, 2), V (-2, 2) and W (-2, 5) be the vertices of a closed figure.If this figure is rotated 90° clockwise, find the vertices of the rotated figure and graph.

**Solution : **

**Step 1 :**

Here the figure is rotated 90° clockwise. So the rule that we have to apply here is (x , y) -------> (y , -x)

**Step 2 :**

Based on the rule given in step 1, we have to find the vertices of the rotated figure

**Step 3 :**

**(x , y) ----------> (y , -x)**

R ( -3 , 5 ) ------------ R' ( 5 , 3 )

S ( -3 , 1 ) ------------ S' ( 1 , 3 )

T ( 0 , 1 ) ------------ T' ( 1 , 0 )

U ( 0 , 2 ) ------------ U' ( 2 , 0 )

V ( -2 , 2 ) ------------ V' ( 2 , 2 )

W ( -2 , 5 ) ------------ W' ( 5 , 2 )

**Step 4 :**

Vertices of the rotated figure are

**R' (5, 3) , S' (1, 3), T' (1, 0), U' (2, 0), V' (2, 2) and W' (5, 2) **

**GRAPH**

Let us look at the next problem on "90 degree clockwise rotation"

**Problem 3 : **

Let P (-1, -3), Q (3, -4), R (4, 0) and S (0, -1) be the vertices of a closed figure. If the figure is rotated 90° clockwise, find the vertices of the rotated figure and graph.

**Solution : **

**Step 1 :**

Here the figure is rotated 90° clockwise. So the rule that we have to apply here is (x , y) -------> (y , -x)

**Step 2 :**

Based on the rule given in step 1, we have to find the vertices of the rotated figure

**Step 3 :**

**(x , y) ----------> (y , -x)**

P ( -1 , -3 ) ------------ P' ( -3 , 1 )

Q ( 3 , -4 ) ------------ Q' ( -4 , -3 )

R ( 4 , 0 ) ------------ R' ( 0 , -4 )

S ( 0 , -1 ) ------------ S' ( -1 , 0 )

**Step 4 :**

Vertices of the rotated figure are

**P' (-3, 1) , Q' (-4, -3), R ( 0, -4) and S' (-1, 0) **

**GRAPH**

Let us look at the next problem on "90 degree clockwise rotation"

**Problem 4 : **

Let T (1, -3), U (5, -5), V (3, -3) and W (5, -1) be the vertices of a closed figure.If this figure is rotated 90° clockwise, find the vertices of the rotated figure and graph.

**Solution : **

**Step 1 :**

Here the figure is rotated 90° clockwise. So the rule that we have to apply here is (x , y) -------> (y , -x)

**Step 2 :**

Based on the rule given in step 1, we have to find the vertices of the rotated figure

**Step 3 :**

**(x , y) ----------> (y , -x)**

T ( 1 , -3 ) ------------ T' ( -3 , -1 )

U ( 5 , -5 ) ------------ U' ( -5 , -5 )

V ( 3 , -3 ) ------------ V' ( -3 , -3 )

W ( 5 , -1 ) ------------ W' ( -1 , -5 )

**Step 4 :**

Vertices of the rotated figure are

**T' (-3, -1) , U' (-5, -5), V' (-3, -3) and W' (-1, -5) **

**GRAPH**

Let us look at the next problem on "90 degree clockwise rotation"

**Problem 5 : **

Let A (-2, 4), B (2, 4), C (1, 3) D (2, 2), E (-2, 2) and F (-3, 3) be the vertices of a closed figure.If this figure is rotated 90° clockwise, find the vertices of the rotated figure and graph.

**Solution : **

**Step 1 :**

Here the figure is rotated 90° clockwise. So the rule that we have to apply here is (x , y) -------> (-y , x)

**Step 2 :**

Based on the rule given in step 1, we have to find the vertices of the rotated figure

**Step 3 :**

**(x , y) ----------> (y , -x)**

A ( -2 , 4 ) ------------ A' ( 4 , 2 )

B ( 2 , 4 ) ------------ B' ( 4 , -2 )

C ( 1 , 3 ) ------------ C' ( 3 , -1 )

D ( 2 , 2 ) ------------ D' ( 2 , -2 )

E ( -2 , 2 ) ------------ E' ( 2 , 2 )

F ( -3 , 3 ) ------------ F' ( 3 , 3 )

**Step 4 :**

Vertices of the rotated figure are

**A' (4, 2) , B' (4, -2), C' (3, -1), D' (2, -2), E' (2, 2) and F' (3, 3) **

**GRAPH**

We hope that the students would have understood the stuff given on "90 degree clockwise rotation"

Apart from the stuff given above, if you want to know more about "90 degree clockwise rotation", please click here.

If you need any other stuff, please use our google custom search here.

Widget is loading comments...

You can also visit our following web pages on different stuff in math.

**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**

**Time and work 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**