Question

triangle shown has been dilated by a scale factor of 2 from the origin. what are the coordinates of the new triangle? explain how you found your answer.

Explanation:

Step1: Identify original coordinates

The original triangle has vertices with coordinates $(1,2)$, $(1,4)$, $(3,2)$.

Step2: Apply dilation rule

When dilating a point $(x,y)$ by a scale factor $k$ from the origin, the new - coordinates are $(kx,ky)$. Here $k = 2$.
For the point $(1,2)$: New coordinates are $(2\times1,2\times2)=(2,4)$.
For the point $(1,4)$: New coordinates are $(2\times1,2\times4)=(2,8)$.
For the point $(3,2)$: New coordinates are $(2\times3,2\times2)=(6,4)$.

Answer:

The coordinates of the new triangle are $(2,4)$, $(2,8)$, $(6,4)$.