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Given the vertices of isosceles trapezoid ABCD: A(2, 0), B(4, 0), C(5, -2), D(1, -2). If the image is reflected over the y-axis, C' = (5, 2) (-5, 2) (-5, -2) (5, -2)
Here is the image https://addenbrooke.owschools.com/media/g_geo_ccss_2016/10/q910l4.gif

Respuesta :

Answer:

C' = (-5, -2)

Step-by-step explanation:

Reflection over the y-axis negates the x-coordinate.

C(5, -2) ⇒ C'(-5, -2)

Answer:

The correct option is 3.

Step-by-step explanation:

The vertices of isosceles trapezoid ABCD are A(2, 0), B(4, 0), C(5, -2), D(1, -2).

If a figure reflected over the y-axis, then the relation between coordinates of preimage and image is defined as

[tex](x,y)\rightarrow (-x,y)[/tex]

It is given that ABCD reflected over the y-axis and coordinates of point C are (5,-2), so the coordinates of C' are

[tex]C(5,-2)\rightarrow C'(-5,-2)[/tex]

The coordinates of C' are(-5,-2). Therefore the correct option is 3.