Question

a triangle has vertices at (1, 1), (1, 2), and (3, 2). it is dilated by a scale factor of 3 within the origin as the center of dilation to form a similar triangle. What are the coordinates of the vertices of the image?

Answer 1

(3,3), (3,6), (9,6) Explanation:

Answer 2

(3,3), (3,6), (9,6)

Explanation:

A triangle ABC has vertices at A(1, 1), B(1, 2), and C(3, 2).

The dilation by a scale factor of 3 within the origin as the center of dilation has the rule

`(x,y)\rightarrow (3x,3y)`

Hence,

• 
  `A(1,1)\rightarrow D(3,3)`
• 
  `B(1,2)\rightarrow E(3,6)`
• 
  `C(3,2)\rightarrow F(9,6)`

See attached diagram for details.