Respuesta :

Answer:

-3 across the x

Step-by-step explanation:

negative 3 is in the middle of the two, both between point -1 and -5, and point 0 and -6.

When a shape is reflected, it must be reflected over a line. The line of reflection of quadrilateral ABCD onto quadrilateral A'B'C'D is [tex]y = -3[/tex]

From the given graph, we have the following observations

  • ABCD was flipped over to form A'B'C'D'
  • The line of reflection is between both shapes

Using points C and C' as reference;

We have:

[tex]C = (-3,-1)[/tex]

[tex]C' = (-3,-5)[/tex]

Notice that both points have the same x-coordinate

This means that the line of reflection is parallel to the x-axis, and it passes through the y-axis.

The point at which it passes through the y-axis is calculated using mid-point formula.

So, we have:

[tex]y = \frac{y_1 + y_2}{2}[/tex]

[tex]y = \frac{-1-5}{2}[/tex]

[tex]y = \frac{-6}{2}[/tex]

[tex]y = -3[/tex]

Hence, the line of reflection is [tex]y = -3[/tex]

See attachment for the line of reflection

Read more about reflections at:

brainly.com/question/17983440

Ver imagen MrRoyal
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