Type the correct answer in each box. spell all words correctly. a sequence of transformations maps ∆abc onto ∆a″b″c″. the type of transformation that maps ∆abc onto ∆a′b′c′ is a . when ∆a′b′c′ is reflected across the line x = -2 to form ∆a″b″c″, vertex of ∆a″b″c″ will have the same coordinates as b′.

A) Reflection

B) (-2,-6)

Step-by-step explanation:

Have a look at the attached picture:

The type of transformation that maps ∆ABC onto ∆A′B′C′ is a reflection across the x-axis. A reflection is an isometry, which means the original(pre-image) and image are congruent, that can be described as a "flip".

When ΔA'B'C' is reflected across the line x = -2  to form ΔA"B"C", the vertex of ΔA"B"C" will have the same coordinates as B' which is (-2,-6) ....

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.