Question

question 1 - 3
triangle cat is dilated by a factor of 2.
what are the coordinates of cat?
c(
)
a(
)
t(
)

Explanation:

Step1: Identify original coordinates

Let's assume from the graph, \(C(1,1)\), \(A(3,4)\), \(T(4,1)\).

Step2: Apply dilation rule

For a dilation by a factor of \(k = 2\), the rule for dilation of a point \((x,y)\) to \((x',y')\) is \(x'=k\times x\) and \(y'=k\times y\).
For point \(C\): \(x_C'=2\times1 = 2\), \(y_C'=2\times1=2\).
For point \(A\): \(x_A'=2\times3 = 6\), \(y_A'=2\times4 = 8\).
For point \(T\): \(x_T'=2\times4=8\), \(y_T'=2\times1 = 2\).

Answer:

\(C'(2,2)\)
\(A'(6,8)\)
\(T'(8,2)\)