Question

tuesday
dilate \\( \triangle t u v \\) with a scale factor of 3.

1. what are the coordinates of

\\( t ^ { prime } \\) ? graph the point on the
coordinate plane.

1. what are the coordinates of

\\( u ^ { prime } \\) ? graph the point on the
coordinate plane.

1. what are the coordinates of

\\( v ^ { prime } \\) ? graph the point on the
coordinate plane.

1. is this an example of an

enlargement or reduction?

Explanation:

Step1: Find coordinates of original points

Assume \(T(-1, 2)\), \(U(2, -1)\), \(V(-1,-1)\) (by observing the graph).

Step2: Apply dilation formula

The dilation formula is \((x,y)\to(kx,ky)\) where \(k = 3\).
For point \(T\):
\(x=-1,y = 2,k = 3\)
\(x'=3\times(-1)=-3,y'=3\times2 = 6\)
For point \(U\):
\(x = 2,y=-1,k = 3\)
\(x'=3\times2=6,y'=3\times(-1)=-3\)
For point \(V\):
\(x=-1,y=-1,k = 3\)
\(x'=3\times(-1)=-3,y'=3\times(-1)=-3\)

Step3: Determine enlargement or reduction

Since the scale factor \(k=3> 1\), it is an enlargement.

Answer:

1. \((-3,6)\)
2. \((6,-3)\)
3. \((-3,-3)\)
4. Enlargement