Wednesday

September 3, 2014

September 3, 2014

Posted by **Cindy** on Friday, December 16, 2011 at 11:33pm.

I am stuck can you please explain

- geometry -
**Willie**, Saturday, December 17, 2011 at 10:44amThe first rule sends (x, y) to (x - 9, y - 2). That is, it slides every point to the left nine units and down two units.

The second rule slides every point to the right 1 unit and down 2 units.

The composition is combining the two transformations. In this case, they are both translations (slides), so it doesn't really matter which order you do them in.

The first translation could be written in vector form as <-9, -2> and the second is <+1, -2>. To figure out the combined effect, just add the components.

<-9 + (+1), -2 + (-2)>

<-8, -4>

So a single slide left 8 and down 4 does the same thing as the two rules combined.

(x, y) --> (x - 8, y - 4)

would be a translation rule to use.

Note: Sometimes the order you do transformations matters. For example, translate then reflect might be different from reflect, then translate. But in the case of two translations, it doesn't really matter which order you do the slides. You could have done rule 2 first, then rule 1 second.

That's because

(x - 9 - 2, y - 2 + 1) is the same as

(x - 2 - 9, y + 1 - 2).

**Answer this Question**

**Related Questions**

Geometry - What translation rule can be used to describe the result of the ...

Geometry - What translation rule can be used to describe the result of the ...

Geometry - What results from the composition of reflections in two parallel ...

geometry - The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U...

Math - Use a translation rule to describe the translation of triangle ABC that ...

Trig FInd Translation Rule and Coordinates Thanks! - The vertices of a rectangle...

geometry - Find a translation that has the same effect as the following ...

Math - A translation has this rule:(x-5,y). Fill in the answers This translation...

It's been more than 24 hours and no answer... - A translation has this rule:(x-5...

math - The point C(3,-1) is translated to the left 4 units and up 1 unit.write a...