Question

1.6.7 check your understanding
the diagram shows four different single transformations of △syg.
for each triangle listed, select the correct transformation that was applied to △syg.

triangle	type of transformation
△plw
△ztr
△knh

Explanation:

Step1: Analyze $\triangle FXV$

Observe the orientation and position. It seems to be a rotation of $\triangle SYG$ around a point.

Step2: Analyze $\triangle PLW$

Check its position relative to $\triangle SYG$. It appears to be a translation (slide) of $\triangle SYG$.

Step3: Analyze $\triangle ZTR$

Notice its orientation. It is a reflection of $\triangle SYG$ across a line (likely the y - axis).

Step4: Analyze $\triangle KNH$

Compare its size and shape. It is a dilation (scaling) of $\triangle SYG$ as it has the same shape but different size.

Answer:

$\triangle FXV$: Rotation
$\triangle PLW$: Translation
$\triangle ZTR$: Reflection
$\triangle KNH$: Dilation