Question

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

Answer 1

SOLUTION

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