Question

Triangle ABC has been _______________ to obtain the similar triangle DEF.


Which of the following options correctly fills the vacant places in the statement?

• A. rotated ${90}^o$ clockwise
• B. reflected around the y-axis
• C. translated 3 units toward the right
• D. translated 1 unit toward the right

Answer 1

The correct option is C translated 3 units toward the right

From the figure given above, it can be clearly observed that the vertices of triangle $ABC$ are translated 3 units toward the right to give the image $\Delta DEF$.
Note that the translation is not 1 unit, because the point $A(0,0)$ has moved to $D(3,0)$, which is 3 units of translation. Similarly, point $B(1,1)$ moved to $E(4,1)$, and $C(2,0)$ moved to $F(5,0)$.
Also, there is no change in the orientation of the triangle, we can conclude that neither reflection nor rotation was involved here.

Hence, Option B is correct