Respuesta :

danielmaduroh
  • The coordinate of point D is [tex](7,4)[/tex]
  • The length of side AD is 8 units
  • B can be found by reflecting A across the y-axis
  • C can be found by rotating A 180 degrees about the origin

Explanation:

Part 1:

Let's begin with point A:

[tex]A(7,-4)[/tex]

So we need to find the coordinates of points D in order for ABCD to be a rectangle. So:

D can be found by reflecting A across the x axis:

So you just need to multiply the y-coordinate by -1, then:

[tex]D(x,y)=D(7,-1(-4))=D(7,4)[/tex]

Part 2:

The length of AD can be found as the change in y from A to D:

[tex]\overline{AD}=4-(-4) \\ \\ \overline{AD}=8units[/tex]

Part 3.

  • B can be found by reflecting A across the y-axis
  • C can be found by rotating A 180 degrees about the origin

Learn more:

Translation and reflection: https://brainly.com/question/12554274

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