Question

Which choice shows the coordinates of C’ if the trapezoid is reflected across the y-axis?


(–5, 3)
(3, –5)
(5, –3)
(–3, 5)

Answer 1

A reflection through the axis and is given by the following transformation rule:
 (x, y) -------> (-x, y)
 We have the following point:
 C = (5, 3)
 Applying the transformation rule we have:
 (5, 3) -------> (-5, 3)
 Therefore, C' is given by:
 C '= (- 5, 3)
 Answer:
 (-5, 3)

Answer 2

Answer:

A) (-5, 3)

Step-by-step explanation:

The coordinate of C is (5, 3).

The trapezoid is reflected across the y-axis.

(x, y ) ----> (-x, y)

When it is reflected over y-axis only the sign of the x coordinate change and y coordinate remains the same.

Therefore, (5, 3) --->(-5, 3)

C' = (-5, 3)

Answer: A) (-5, 3)

Hope this will helpful.

Thank you.