Eğer bu mesajı görüyorsanız, web sitemizde dış kaynakları yükleme sorunu yaşıyoruz demektir.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Ana içerik

Rastgele Seçilmiş Bir Nokta Etrafında Döndürme

Sal'a koordinat düzleminde bir üçgen ve herhangi bir nokta etrafında bir döndürme tanımı verilmiştir. Sal, bu döndürmenin görüntüsünü elle çiziyor.

Tartışmaya katılmak ister misiniz?

• Hello my friends. I am a student at the Khan Academy.At the first my English is bad. I am sorry.

My results are for same rotation problems below.

If 90 degree rotation (a,b) transformation (-b,a)
If 180 degree rotation (a,b) transformation (-a,-b)
If 270 degree rotation (a,b) transformation (b,-a)

İn this problem triangle SAM rotated 270 degrees about the point (4,-2).

These points are S(-3,-5) ; A(-5,3) M(-3,2) . İt is okay.

We can solve this problem and dont need to look the graphic. We can agree new origin point (4,-2). Because triangle SAM rotated this point (4,-2)

We are remember that " If 270 degree rotation (a,b) transformation (b,-a) "

Point (for regular origin 0,0) Point for new origin (4,-2) (a,b) to (b,-a) Rotated point for (0,0)
(a,b) (-) (4,-2) same delta (x), delta (y) (b,-a) + (4,-2) like this (x+x),(y+y)

S(-3,-5) ((-3) - 4) , ((-5)-(-2)) = (-7,-3) ( -3 ) , ( 7) (-3+4) , (7+(-2)) = result S' (1,5)

A(-5,3) ((-5)- 4) , (3 - (-2)) = (-9,5) (5) , (9) see (b,-a) (5+4) , (9+(-2)) = result A' (9,7)

M(-3,2) ((-3)- 4) , (2 - (-2)) = (-7,4) (4) , (7) see (b,-a) (4+4) , (7+(-2)) = result M' (8,5)

Finally this problems solved for triangle SAM rotation 270 degree new points are S'(1,5), A'(9,7), M'(8,5)

We can see this result at the graphic.

Now.. I can found the results for 90,180 and 270 degrees for more points . But I can't found to other 30,45,50,60,120 e.a degrees. Because I can not understand relationship for these degrees (a,b) like 90 degree (a,b) to (-b,a).