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

Answer:

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

Step-by-step 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.