Tamyanswer Tamyanswer
  • 21-05-2018
  • Mathematics
contestada

What are the coordinates of the triangle after a dilation with a scale factor of 2? Center it at (2, 2) .

What are the coordinates of the triangle after a dilation with a scale factor of 2 Center it at 2 2 class=

Respuesta :

mathmate
mathmate mathmate
  • 21-05-2018
Dilation of a point P(x,y) with scale factor s centred at (p,q) is given by
P'=(p+s*(x-p),q+s*(x-q))

Substituting 
s=2, p=2,q=2
P'=(2+2*(x-2),2+2*(y-2))

P           P'
(2,4)      (2+2(2-2), 2+2*(4-2)) = (2, 6)
(0,6)      (2+2(0-2), 2+2*(6-2)) = (-2, 10)
(-3,3)     (2+2(-3-2), 2+2*(3-2)) = (-8, 4)
Ver imagen mathmate
Answer Link
sqdancefan
sqdancefan sqdancefan
  • 21-05-2018
The coordinates are (-8, 4), (-2, 10), (2, 6).

Each point has moved twice as far away from (2, 2) as it was originally. Each coordinate (x, y) becomes (2x-2, 2y-2).
Ver imagen sqdancefan
Answer Link

Otras preguntas

-.55 as a fraction in simplest form
a boat travels 24 km in 90 minutes what's the average speed?​
Can someone help me?
Given the directed line segment AB: Point A is the _____ with coordinates Point B is the point with coordinates ______.​
The goods and services produced by an economic unit through ______ can be exchanged for a full range of desired products produced by other economic units.
What is the value of x in the equation x − 7 = 11?
Was the American Revolution virtuous
One astronomical unit (AU) is about 1.5 x 108 km. Explain why this is the same as 150 x 100 km.
Plz help will give 20 points. What is the scale factor of the dilation?
Can someone please help me it's urgent! Classify triangle ABC. Justify your classification.