Question

part a
what type of transformation was used to transform figure 1 into figure 2?
a rotation
b dilation
c translation
d reflection
part b
which statement describes the transformation of figure 2 into figure 3?
a reflection across the y - axis
b translation 6 units to the right
c reflection across the x - axis
d translation 4 units to the right

Explanation:

Part A

Translation is a transformation that slides a figure without rotating or resizing it. In this case, Figure 1 to Figure 2 shows a sliding (no rotation, dilation or reflection characteristics like flipping over a line).

Reflection across the y - axis changes the sign of the x - coordinate. If we consider a point \((x,y)\) on Figure 2, its corresponding point on Figure 3 is \((-x,y)\). For example, if a point on Figure 2 has coordinates \((- 2,3)\), a corresponding point on Figure 3 has coordinates \((2,3)\).

Answer:

C. translation

Part B