Question

Square BCDE with vertices B(-6,7),C(-2,6),D(-3,2), and E(-7,3) in the y-axis. find the reflection?

Answer 1

Answer:

The vertices of the square $B'C'D'E'$ are $B'(x, y) = (6,7)$, $C'(x,y) = (2, 6)$, $D'(x,y) = (3,2)$ and $E'(x,y) = (7,3)$

Step-by-step explanation:

From Geometry we notice that a reflection with axis of symmetry on y-axis is represented by the following formula:

$(x',y') = (-x, y)$, $\forall \,x,y\,\in\mathbb{R}$

Thus, the vertices of the square $B'C'D'E'$ are $B'(x, y) = (6,7)$, $C'(x,y) = (2, 6)$, $D'(x,y) = (3,2)$ and $E'(x,y) = (7,3)$

Answer 2

   Coordinates of the image square B'C'D'E' after reflecting the square BCDE across y-axis will be B'(6, 7), C'(2, 6), D'(3, 2), E'(7, 2).

If a point (x, y) is reflected across y-axis, rule to be followed,

(x, y) → (-x, y)

Following this rule coordinates of image square B'C'D'E' will be,

B(-6, 7) → B'(6, 7)

C(-2, 6) → C'(2, 6)

D(-3, 2) → D'(3, 2)

E(-7, 2) → E'(7, 2)

      Therefore, vertices of the image square will be B'(6, 7), C'(2, 6), D'(3, 2), E'(7, 2).

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