Question

triangle abc with coordinates, a(2, 0), b(3, 4) and c(1, -2).
perform the following transformations and give the coordinates of their respective images:
transformation #1: dilation scale factor 3
transformation #2: reflect over the line, $y = x$.
a(□,□) b(□,□) c(□,□)
a(□,□), b(□,□) c(□,□)
type in your answers with no spaces--only use decimals and/or integers.
possible points: 12

Explanation:

Step1: Dilate points by scale 3

For a point $(x,y)$, dilation by scale factor $k$ gives $(k \cdot x, k \cdot y)$.
$A'(3 \cdot 2, 3 \cdot 0) = (6,0)$
$B'(3 \cdot 3, 3 \cdot 4) = (9,12)$
$C'(3 \cdot 1, 3 \cdot (-2)) = (3,-6)$

Step2: Reflect over $y=x$

For a point $(x,y)$, reflection over $y=x$ gives $(y,x)$.
$A''(0,6)$
$B''(12,9)$
$C''(-6,3)$

Answer:

A'(6,0), B'(9,12), C'(3,-6)
A''(0,6), B''(12,9), C''(-6,3)