Question

Isaaca says that T' will be located at (4,20)Isabelle says that T' will be located at (4,12)Who is correct and why

Answer 1

(4, 20) is correct because the dilation of T(2, 10) by a scale factor of 2 will give T'(4, 20).

Step-by-step explanation:

The coordinates of triangle TUV are T(2, 10), U(6, 2), and V(2, 2), if we dilate by a scale factor of 2, we'll have the below coordinates;

`\begin{gathered} T\mleft(2,10\mright)\rightarrow T^(\prime)(2*2,10*2)\rightarrow T^(\prime)(4,20) \\ U\mleft(6,2\mright)\rightarrow U^(\prime)(6*2,2*2)\rightarrow U^(\prime)(12,4) \\ V(2,2)\rightarrow V^(\prime)(2*2,2*2)\rightarrow V^(\prime)(4,4) \end{gathered}`

We can see from the above that the correct coordinate for T' is (4, 20).