"Reflection transformation" is one of the four types of transformations in geometry.

Even though students can get this stuff on internet, they do not understand exactly what has been explained.

To make the students to understand the stuff "Reflection-transformation", we have explained the different rules which we apply to make reflection-transformation.

Once students understand the rules which they have to apply for reflection transformation, they can easily make reflection -transformation of a figure.

For example, if we are going to make reflection transformation of the point (2,3) about x-axis, after transformation, the point would be (2,-3). Here the rule we have applied is (x, y) ------> (x, -y).

So we get (2,3) -------> (2,-3).

Let us consider the following example to have better understanding of reflection.

**Question : **

Let A ( -2, 1), B (2, 4) and (4, 2) be the three vertices of a triangle. If this triangle is reflected about x-axis, what will be the new vertices A' , B' and C' ?

**Solution: **

**Step 1 : **

First we have to know the correct rule that we have to apply in this problem.

**Step 2 : **

Here triangle is reflected about x - axis. So the rule that we have to apply here is (x , y) -------> (x , -y)

**Step 3 : **

Based on the rule given in step 1, we have to find the vertices of the reflected triangle A'B'C'

**Step 4 : **

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

A ( -2, 1 ) ------------ A' ( -2, -1 )

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

C ( 4, 2 ) ------------ C' ( 4, -2 )

**Step 5 : **

Vertices of the reflected triangle are

A' ( -2, -1) , B ( 2, -4 ) and C' ( 4, -2)

When we look at the above figure, it is very clear that each point of a reflected image A'B'C' is at the same distance from the line of reflection as the corresponding point of the original figure.

In other words, the line x = -2 (line of reflection) lies directly in the middle between the original figure and its image.

And also, the line x = -2 (line of reflection) is the perpendicular bisector of the segment joining any point to its image.

Students can keep this idea in mind when they are working with lines of
reflections which are neither the *x*-axis nor the *y*-axis.

After having gone through the stuff given above, we hope that the students would have understood "Reflection transformation".

Apart from the stuff given above, if you want to know more about "Transformation", please click here

If you need any other stuff in math, 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**

**Trigonometry 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**