Question

The coordinates of a quadrilateral are (5, 8), (7, 10), (9, 12), and (11, 14). After a transformation, the sign of the x-coordinate for each ordered pair has changed. Which type of transformation occurred?

A) (x,y)→(x + 2, y + 2)
B) dilation; (x + 2), (y + 2)
C) reflection across the y-axis
D) reflection across the x-axis

Answer 1

The answer is C) Reflection across the y-axis

Explanation:

Answer 2

Given:

1st point (5,8)

2nd point (7,10)

3rd point (9,12)

4th point (11,14)

After transformation, the sing of the x-coordinate for each ordered pair has changed. From positive, it becomes negative. However, the sign of the y-coordinate is assumed to retains its original sign.

From positive x and positive y to negative x and positive y, this is C. REFLECTION ACROSS THE Y-AXIS.

Explanation: