Pentagon PQRST and its reflection, pentagon P'Q'R'S'T', are shown in the coordinate plane below:

What is the line of reflection between pentagons PQRST and P'Q'R'S'T'?

Pentagon PQRST and its reflection pentagon PQRST are shown in the coordinate plane below What is the line of reflection between pentagons PQRST and PQRST class=

Respuesta :

Answer:

The x-axis.

Step-by-step explanation:

That is the x axis.  If you imagine that the x-axis is a mirror you will see why. The corresponding points on the pentagon and its image are the same distance from the x-axis.

Answer:

Reflection line is x axis .

Step-by-step explanation:

Given  : Pentagon PQRST and its reflection, pentagon P'Q'R'S'T', are shown in the coordinate plane below.

To find : What is the line of reflection between pentagons PQRST and P'Q'R'S'T'?.

Solution : We have given

Parent pentagon = PQRST.

Reflected pentagon  = P'Q'R'S'T'.

Coordinate of pentagon P ( -4 ,6 ) ; Q (-7 ,4) ;  R (-6 ,1) ; S (-2 ,1);  T(-1 ,4).

Coordinate of pentagon P' ( -4 , -6 ) ; Q (-7 , -4) ;  R (-6 ,-1) ; S (-2 ,-1);  T(-1 ,-4).

By the reflection rule across x axis : (x ,y) →→ ( x , -y).

Then it is reflection line is x axis .

Therefore,  reflection line is x axis .