contestada

Y=x. Given A(7,-4), B(6,4), and C(-1,-5), what are the coordinates of the vertices of A’B’C for the reflection

Respuesta :

absor201

Answer:

The coordinates of the vertices of A'B'C' is:

  • A'(-4, 7)
  • B'(4, 6)
  • C'(-5, -1)

Step-by-step explanation:

Given the coordinates of the triangle

  • A(7,-4)
  • B(6,4)
  • C(-1,-5)

Reflection in the line y=x

We know that the rule of reflection in the line is y = x is:

(x, y) → (y, x)

Thus,

The coordinates of the vertices of A'B'C' for the reflection in the y = x

(x, y)         →        (y, x)

A(7, -4)     →        A'(-4, 7)

B(6, 4)      →        B'(4, 6)

C(-1, -5)     →       C'(-5, -1)

Thus, the coordinates of the vertices of A'B'C' is:

  • A'(-4, 7)
  • B'(4, 6)
  • C'(-5, -1)

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