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Sebuah bangun  dengan titik sudut ,  dan  dilatasi dengan faktor skala 2 dengan pusat , a. Tentukan koordinat titik sudut ? b. Jika  kemudian di rotasi  searah jarum jam tentukan titik sudut ?

Pertanyaan

Sebuah bangun increment KLM dengan titik sudut straight K left parenthesis 2 comma space 1 right parenthesis, straight L left parenthesis 3 comma space 3 right parenthesis dan straight M left parenthesis 5 comma space 1 right parenthesis dilatasi dengan faktor skala 2 dengan pusat 0 left parenthesis 0 comma space 0 right parenthesis,

a. Tentukan koordinat titik sudut increment straight K apostrophe straight L apostrophe straight M apostrophe?

b. Jika increment straight K apostrophe straight L apostrophe straight M apostrophe kemudian di rotasi 90 degree searah jarum jam tentukan titik sudut increment straight K " straight L " straight M "?

Pembahasan Video:

Pembahasan Soal:

Konsep dilatasi:

straight A left parenthesis straight x comma space straight y right parenthesis rightwards arrow with straight D open square brackets left parenthesis 0 comma 0 right parenthesis comma space straight K close square brackets on top straight A apostrophe left parenthesis kx comma space ky right parenthesis 

Maka:

straight K left parenthesis 2 comma space 1 right parenthesis rightwards arrow with straight D open square brackets left parenthesis 0 comma 0 right parenthesis comma space 2 close square brackets on top straight K apostrophe left parenthesis 4 comma space 2 right parenthesis 

straight L left parenthesis 3 comma space 3 right parenthesis rightwards arrow with straight D open square brackets left parenthesis 0 comma 0 right parenthesis comma space 2 close square brackets on top straight L apostrophe left parenthesis 6 comma space 6 right parenthesis  

straight M left parenthesis 5 comma space 1 right parenthesis rightwards arrow with straight D open square brackets left parenthesis 0 comma 0 right parenthesis comma space 2 close square brackets on top straight M apostrophe left parenthesis 10 comma space 2 right parenthesis 

Rotasi searah jarum jam 90 degree .

straight A left parenthesis straight x comma space straight y right parenthesis rightwards arrow with straight R open square brackets left parenthesis 0 comma 0 right parenthesis comma negative 90 degree close square brackets on top straight A apostrophe left parenthesis straight y comma space minus straight x right parenthesis 

maka:

straight K apostrophe left parenthesis 4 comma space 2 right parenthesis rightwards arrow with straight R open square brackets left parenthesis 0 comma 0 right parenthesis comma negative 90 degree close square brackets on top straight K " left parenthesis 2 comma space minus 4 right parenthesis 

straight L apostrophe left parenthesis 6 comma space 6 right parenthesis rightwards arrow with straight R open square brackets left parenthesis 0 comma 0 right parenthesis comma negative 90 degree close square brackets on top straight L " left parenthesis 6 comma space minus 6 right parenthesis  

straight M apostrophe left parenthesis 10 comma space 2 right parenthesis rightwards arrow with straight R open square brackets left parenthesis 0 comma 0 right parenthesis comma negative 90 degree close square brackets on top straight M " left parenthesis 2 comma space minus 10 right parenthesis  

Jadi,

a. Titik sudut increment straight K apostrophe straight L apostrophe straight M apostrophe adalah straight K apostrophe left parenthesis 4 comma space 2 right parenthesisstraight L apostrophe left parenthesis 6 comma space 6 right parenthesis dan straight M apostrophe left parenthesis 10 comma space 2 right parenthesis 

b. Titik sudut increment straight K " straight L " straight M " adalah straight K " left parenthesis 2 comma space minus 4 right parenthesis, dan straight L " left parenthesis 6 comma space minus 6 right parenthesis dan straight M " left parenthesis 2 comma space minus 10 right parenthesis.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 22 Juli 2021

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