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) (-5, 3)

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.

Answer 2

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)