Question

Referring to the diagram below, which statement is true?(Image down below)

Answer 1

We want to check which of the following is true from the image below

A.

`\begin{gathered} \Delta ABC\rightarrow\Delta A^(\prime)B^(\prime)C^(\prime)\text{ by a translation} \\ \text{This is false, because this is actually a reflection and not a translation} \end{gathered}`

B.

`\begin{gathered} \Delta ABC\rightarrow\Delta A^(\prime)B^(\prime)C^(\prime)\text{ by a rotation} \\ \text{This is false, because this is actually a reflection and not a rotation} \end{gathered}`

C.

`\begin{gathered} \Delta A\text{'}B^(\prime)C^(\prime)\rightarrow\Delta A^(\prime)^(\prime)^{}B^(\prime)^(\prime)C^(\prime)^(\prime)\text{ by a translation} \\ \text{This is true, because }\Delta A\text{'}B^(\prime)C^(\prime)\text{ is translated 5 units to the left} \end{gathered}`

D.

`\begin{gathered} \Delta ABC\rightarrow\Delta A^(\prime)B^(\prime)C^(\prime)\text{ by a dilation} \\ \text{This is false, because this is actually a reflection and not a dilation } \end{gathered}`

Hence only the third option is correct