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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

Isaaca says that T' will be located at (4,20)Isabelle says that T' will be located-example-1
User Bdelmas
by
6.3k points

1 Answer

4 votes

Answer:

(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).

User Insyte
by
7.0k points
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